We perform a comprehensive investigation of the radiative decays of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>P</mi></math>-wave charmed baryons in the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>S</mi><mi>U</mi><mo stretchy="false">(</mo><mn>3</mn><mo stretchy="false">)</mo></math> flavor <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mn mathvariant="bold">6</mn></mrow><mrow><mi>F</mi></mrow></msub></mrow></math> representation, employing the light-cone quantum chromodynamics (QCD) sum rule approach within the framework of heavy quark effective theory. We analyze their electromagnetic transitions into ground-state charmed baryons via photon emission. When combined with the mass spectra and strong decay properties previously studied in Yang and Chen [<a href="http://dx.doi.org/10.1103/PhysRevD.104.034037">Phys. Rev. D 104, 034037 (2021)</a>], our results constitute a systematic and complete QCD sum rule analysis of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>P</mi></math>-wave singly charmed baryons within the framework of heavy quark effective theory. As summarized in Table V, several excited charmed baryons are found to possess suppressed strong decay widths, thereby rendering their radiative decay channels particularly significant for experimental identification and theoretical understanding.

China

Xuan Luo

Hua-Xing Chen

Er-Liang Cui

Hui-Min Yang

Dan Zhou

Zhi-Yong Zhou

Radiative decays of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>P</mi></mrow></math>-wave charmed baryons in the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>S</mi><mi>U</mi><mo stretchy="false">(</mo><mn>3</mn><mo stretchy="false">)</mo></math> flavor <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mn>6</mn><mi mathvariant="normal">F</mi></msub></math> representation

The dimensional reduction of M-theory couplings at order <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mo>ℓ</mo><mi>p</mi><mn>6</mn></msubsup></math> is known to produce one-loop <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mrow><mi>α</mi></mrow><mrow><mo>′</mo><mn>3</mn></mrow></msup></math> corrections in type IIA string theory. In this paper, we perform the Kaluza-Klein reduction of the M-theory Chern-Simons coupling <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>t</mi><mn>8</mn></msub><msub><mi>ε</mi><mn>11</mn></msub><mi>A</mi><msup><mi>R</mi><mn>4</mn></msup></math> at this order. By meticulously accounting for nongauge-invariant total derivative terms, we derive the complete set of corresponding one-loop, gauge-invariant couplings in the type IIA effective action. Our results not only reproduce the standard Chern-Simons term <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>t</mi><mn>8</mn></msub><msub><mi>ε</mi><mn>10</mn></msub><mi>B</mi><msup><mi>R</mi><mn>4</mn></msup></math>—which is gauge invariant up to total derivatives—but also unveil a new set of gauge-invariant couplings involving Ramond-Ramond and Neveu-Schwarz–Neveu-Schwarz field strengths. To validate our findings, we test their consistency under string dualities. We dimensionally reduce the derived type IIA couplings on a K3 manifold and show that the resulting one-loop <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>α</mi><mo>′</mo></msup></math> corrections in six dimensions transform under S-duality into the dimensional reduction of the tree-level heterotic string Chern-Simons coupling <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>H</mi><mrow><mi>μ</mi><mi>ν</mi><mi>α</mi></mrow></msub><msup><mi mathvariant="normal">Ω</mi><mrow><mi>μ</mi><mi>ν</mi><mi>α</mi></mrow></msup></math> on <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>T</mi><mn>4</mn></msup></math>. This nontrivial agreement provides strong evidence for the correctness of both the M-theory Chern-Simons term and its reduction to type IIA.

Iran

Mohammad R. Garousi

Dimensional reduction of the M-theory Chern-Simons term at order <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mo>ℓ</mo><mi>p</mi><mn>6</mn></msubsup></math>

We discuss the appearance of superconducting strings in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>E</mi><mn>6</mn></msub></math> grand unification, keeping track of the magnetic monopole flux that precedes the formation of the string flux tube. This flux matching ensures compatibility with the quantum tunneling of a monopole-antimonopole pair on a metastable string. We identify two realistic <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>E</mi><mn>6</mn></msub></math> models with superconducting (metastable) strings that also carry zero modes of the right-handed Majorana neutrinos and dark matter particles. Depending on the symmetry breaking scale associated with the strings, the latter could be a source of observable gravitational waves, intermediate scale dark matter, and the observed baryon asymmetry via leptogenesis. Topologically stable superconducting strings also appear if the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>E</mi><mn>6</mn></msub></math> symmetry breaking leaves unbroken the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>Z</mi><mn>2</mn></msub></math> subgroup of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>Z</mi><mn>4</mn></msub></math>, the center of SO(10). The zero modes of the Standard Model fermions are the charge carriers in this case. Finally, the flux matching condition ensures that the Aharonov-Bohm phase change in going around the metastable strings is an integer multiple of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>2</mn><mi>π</mi></math> for all fields. The fields in the spinorial representation of SO(10) acquire a phase change of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>exp</mi><mo stretchy="false">(</mo><mo>±</mo><mi>i</mi><mi>π</mi><mo stretchy="false">)</mo></math> if taken around the topologically stable <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>Z</mi><mn>2</mn></msub></math> string.

South Korea

Rinku Maji

United States

Qaisar Shafi

Superconducting strings in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>E</mi><mn>6</mn></msub></math>

The renormalization group flow of the multiscalar interacting <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>φ</mi><mn>3</mn></msup></math> theory in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>d</mi><mo>=</mo><mn>6</mn></math> dimensions is known to have a gradient structure, in which suitable generalizations of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>β</mi></math> functions <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>B</mi><mi>I</mi></msup></math> emerge as the gradient of a scalar function <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>A</mi></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mo>∂</mo><mi>I</mi></msub><mi>A</mi><mo>=</mo><msub><mi>T</mi><mrow><mi>I</mi><mi>J</mi></mrow></msub><msup><mi>B</mi><mi>J</mi></msup></math>, with a nontrivial tensor <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>T</mi><mrow><mi>I</mi><mi>J</mi></mrow></msub></math> in the space of couplings. This has been shown directly to three loops in schemes such as the modified minimal subtraction scheme (<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mover accent="true"><mi>MS</mi><mo stretchy="true">¯</mo></mover></math>) and can be argued in general by identifying <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>A</mi></math> with the coefficient of the topological term of the trace anomaly in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>d</mi><mo>=</mo><mn>6</mn></math> up to a normalization. In this paper we show that the same renormalization group has a gradient structure in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>d</mi><mo>=</mo><mn>6</mn><mo>−</mo><mi>ϵ</mi></math>. The requirement of a gradient structure is translated to linear constraints that the coefficients of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mover accent="true"><mi>MS</mi><mo stretchy="true">¯</mo></mover></math> <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>β</mi></math> functions must obey, one of which is new and pertinent only to the extension to <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>d</mi><mo>≠</mo><mn>6</mn></math>.

Italy

Lorenzo Benfatto

Omar Zanusso

Gradient properties of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>φ</mi><mn>3</mn></msup></math> in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>d</mi><mo>=</mo><mn>6</mn><mo>−</mo><mi>ϵ</mi></math>

The first simultaneous measurements of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>ν</mi><mi>μ</mi></msub></math> quasielasticlike cross section on C, CH, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mrow><msub><mrow><mi mathvariant="normal">H</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow><mi mathvariant="normal">O</mi></mrow></math>, Fe, and Pb targets as a function of kinematic imbalance variables in the plane transverse to the incoming neutrino direction are presented. These variables combine the muon and proton information to provide a new way to disentangle the effects of the nucleus in quasielasticlike processes. The data were obtained using a wideband <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>ν</mi><mi>μ</mi></msub></math> beam with <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mo stretchy="false">⟨</mo><msub><mrow><mi mathvariant="normal">E</mi></mrow><mrow><mi>ν</mi></mrow></msub><mo stretchy="false">⟩</mo><mo>∼</mo><mn>6</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi></mrow></math>. Cross-section ratios of the different target materials to CH are also shown. These measurements are used to explore the nature of the cross-section <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>A</mi></math> scaling, as well as initial and final state interaction effects. Comparisons are made to predictions from a number of commonly used neutrino Monte Carlo event generators. The range of predictions of the different models tends to cover the data but the degree and consistency of the agreement suffers in regions, and on higher <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>A</mi></math> targets, where the final state interactions are expected to be more pronounced.

J. Kleykamp

India

S. Akhter

Z. Ahmad Dar

N.S. Alex

V. Ansari

Peru

M.V. Ascencio

M. Sajjad Athar

M. Betancourt

Mexico

J.L. Bonilla

Switzerland

A. Bravar

Brazil

G. Caceres

G.A. Díaz

H. da Motta

J. Felix

L. Fields

R. Fine

A.M. Gago

H. Gallagher

P.K. Gaur

R. Gran

E. Granados

Canada

D.A. Harris

United Kingdom

A.L. Hart

A. Klustová

M. Kordosky

D. Last

A. Lozano

X.G. Lu

S. Manly

W.A. Mann

C. Mauger

K.S. McFarland

M. Mehmood

B. Messerly

O. Moreno

J.G. Morfín

J.K. Nelson

C. Nguyen

A. Olivier

V. Paolone

G.N. Perdue

C. Pernas

K.J. Plows

M.A. Ramírez

R.D. Ransome

N. Roy

D. Ruterbories

H. Schellman

C.J. Solano Salinas

D.S. Correia

M. Sultana

V.S. Syrotenko

E. Valencia

N.H. Vaughan

A.V. Waldron

Chile

B. Yaeggy

L. Zazueta

Measurement of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>A</mi></math> dependence of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>ν</mi><mi>μ</mi></msub></math> charged-current quasielasticlike cross section as a function of muon and proton kinematics at <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mo stretchy="false">⟨</mo><msub><mrow><mi>E</mi></mrow><mrow><mi>ν</mi></mrow></msub><mo stretchy="false">⟩</mo><mo>∼</mo><mn>6</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi></mrow></math>

We investigate the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>O</mi><mo stretchy="false">(</mo><mi>N</mi><mo stretchy="false">)</mo></math>-symmetric <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>ϕ</mi><mn>6</mn></msup></math> theory in three spacetime dimensions using dimensional regularization and minimal subtraction. The predictions of other methods are scrutinized in a large-<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>N</mi></math> expansion. We show how the tricritical line of fixed point emerges in a strict <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>N</mi><mo stretchy="false">→</mo><mi>∞</mi></math> limit but argue that it is not a physical manifestation. For the first time in this explicit manner, we compute the effective potential at next-to-leading order in the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>1</mn><mo>/</mo><mi>N</mi></math>-expansion and discuss its stability. The Bardeen-Moshe-Bander phenomenon is also analysed at next-to-leading order, and we demonstrate that it disappears without breaking the scale invariance spontaneously. Our findings indicate that the UV fixed point found by Pisarski persists at large <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>N</mi></math>.

Spain

Sandra Kvedaraitė

Germany

Tom Steudtner

Max Uetrecht

Revisiting the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>ϕ</mi><mn>6</mn></msup></math> theory in three dimensions at large <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>N</mi></math>

By extending the six-dimensional hybrid formalism for the superstring to include $\textit{d}$ = 6 $$ \mathcal{N} $$ = 1 superspace variables along with unconstrained bosonic ghost fields, we construct a manifestly spacetime supersymmetric vertex operator $\textit{U}$. We demonstrate that the BRST invariance of $\textit{U}$ implies the $\textit{d}$ = 6 $$ \mathcal{N} $$ = 1 SYM equations of motion in superspace. Furthermore, we show that spacetime supersymmetric scattering amplitudes can be computed in a manner analogous to that of the non-minimal pure spinor formalism.

Cassiano Daniel

Vertex operators for the superstring with manifest $\textit{d}$ = 6 $$ \mathcal{N} $$ = 1 supersymmetry

We present exact nonperturbative vacuum solutions to chiral gauge theories based on the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>E</mi><mn>6</mn></msub></math> gauge group and several matter fermions in the fundamental <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn mathvariant="bold">27</mn></mrow></math>-dimensional representation. They are obtained when supersymmetric versions are perturbed by small supersymmetry breaking by anomaly mediation. The universality classes obtained are very different from what can be conjectured by the tumbling hypothesis. In particular, the case with three <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn mathvariant="bold">27</mn><mi mathvariant="normal">s</mi></mrow></math> may have an unbroken SU(3) symmetry with massless composite fermions in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn mathvariant="bold">10</mn></mrow></math> of SU(3). For this case, we employed numerical techniques to obtain the exact ground state.

Andrew Goh

Japan

Hitoshi Murayama

Gup Singh

Bethany Suter

Jason Wong

Dynamics of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>E</mi><mn>6</mn></msub></math> chiral gauge theories

We perform a complete classification of AdS solutions of Type II supergravity realising $$ \mathcal{N} $$ = 6 supersymmetry and OSp(6|2) superconformal symmetry on backgrounds that are foliations of AdS × ℂℙ over a Riemann surface Σ . Such solutions only exist in type IIB supergravity and are in 1 to 1 correspondence with a fourth order PDE that can be locally solved in terms of two holomorphic functions. Particular solutions in the class are the T-duals of the AdS × ℂℙ and AdS × S solutions to massive Type IIA supergravity found in the literature. We discuss the field theory interpretation of the two sub-classes of solutions related to AdS × ℂℙ by Abelian and non-Abelian T-duality, which provide explicit examples for the Riemann surface an annulus or a strip. In the second case we interpret the solutions as holographic duals to baryon vertex configurations realised in D2-brane box models.

Andrea Conti

Yolanda Lozano

Niall Macpherson

$$ \mathcal{N} $$ = 6 supersymmetric AdS

We suggest a dynamical mechanism which explains why, in the supersymmetric Ishibashi-Kawai-Kitazawa-Tsuchiya matrix model, the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>S</mi><mi>O</mi><mo stretchy="false">(</mo><mn>9</mn><mo stretchy="false">)</mo></math> symmetry of the Lagrangian is spontaneously broken to <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>S</mi><mi>O</mi><mo stretchy="false">(</mo><mn>3</mn><mo stretchy="false">)</mo><mo>×</mo><mi>S</mi><mi>O</mi><mo stretchy="false">(</mo><mn>6</mn><mo stretchy="false">)</mo></math>, allowing only three large classical spatial dimensions to emerge. The argument relies on the identification of D-strings as stable excitations of the matrices about the cosmological background and the absence of forces between parallel D-string excitations. A spatial dimension can only become large if the D-strings winding in that direction can annihilate. In the absence of forces, this requires the string-world sheets to intersect, a process which is highly suppressed if more than three dimensions of space are large. Implications for a recently proposed matrix cosmology scenario are discussed.

Robert Brandenberger

Julia Pasiecznik

Origin of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>S</mi><mi>O</mi><mo stretchy="false">(</mo><mn>9</mn><mo stretchy="false">)</mo><mo stretchy="false">→</mo><mi>S</mi><mi>O</mi><mo stretchy="false">(</mo><mn>3</mn><mo stretchy="false">)</mo><mo>×</mo><mi>S</mi><mi>O</mi><mo stretchy="false">(</mo><mn>6</mn><mo stretchy="false">)</mo></math> symmetry breaking in the type IIB matrix model