We study $$ \frac{1}{4} $$ -BPS Wilson loops in four-dimensional SU($\textit{N}$) $$ \mathcal{N} $$ = 2 super-Yang-Mills theories with conformal matter in an arbitrary representation $$ \mathcal{R} $$ . These operators are formed of two meridians on the two-sphere separated by an arbitrary opening angle. We conjecture that these observables are encoded in a modification of Pestun’s matrix model. The matrix representation of these operators resembles that of the $$ \frac{1}{2} $$ -BPS circular Wilson loop, differing only for a rescaling in the exponent. We compare the matrix model predictions with an explicit three-loop calculation in flat space based on standard Feynman-diagram techniques, finding perfect agreement. Finally, exploiting the matrix model representation of these Wilson loops, we study the large-$\textit{N}$ limit at strong coupling of $$ \mathcal{N} $$ = 2 superconformal QCD, finding a surprising transition in the vacuum expectation value for a critical opening angle.

Italy

L. Griguolo

Poland

L. Guerrini

A. Testa

Into the wedge of $$ \mathcal{N} $$ = 2 superconformal gauge theories

We introduce a new approach to modeling transition distribution amplitudes (TDAs) for the processes <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>e</mi><mi>p</mi><mo stretchy="false">→</mo><mi>e</mi><mi>n</mi><msup><mi>π</mi><mo>+</mo></msup></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>e</mi><mi>p</mi><mo stretchy="false">→</mo><mi>e</mi><mi>p</mi><msup><mi>π</mi><mn>0</mn></msup></math>. The modeling is flexible, constrained by sparsely available experimental data, and satisfies theoretical requirements, including reduction to nucleon distribution amplitudes in the appropriate limit. We study the sensitivity of observable predictions to various modeling assumptions. We discuss unpolarized cross sections, as well as the three nonvanishing polarization observables at leading twist, namely, the single transverse target spin asymmetry and the two double spin asymmetries that occur with a polarized lepton beam on either a longitudinally or transversely polarized target. The analysis is complemented by a simple Monte Carlo study to provide guidance for exploring exclusive processes in the so-called backward kinematics. Our work aims to highlight the importance of future measurements to better constrain TDAs and to support upcoming experimental proposals.

France

B. Pire

South Korea

Russia

K. Semenov-Tian-Shansky

P. Sznajder

L. Szymanowski

Toward an advanced phenomenology of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>π</mi><mi>N</mi></math> transition distribution amplitudes

It has been known for some time that generalised geometry provides a particularly elegant rewriting of the action and symmetries of 10-dimensional supergravity theories, up to the lowest nontrivial order in fermions. By exhibiting the full symmetry calculations in the second-order formalism, we show in the $$ \mathcal{N} $$ = 1 case that this analysis can be upgraded to all orders in fermions and we obtain a strikingly simple form of the action as well as of the supersymmetry transformations, featuring overall only five higher-fermionic terms. Surprisingly, even after expressing the action in terms of classical (non-generalised geometric) variables one obtains a simplification of the usual formulae. This in particular confirms that generalised geometry provides the natural set of variables for studying (the massless level of) string theory. We also show how this new reformulation implies the compatibility of the Poisson-Lie T-duality with the equations of motion of the full supergravity theory.

United Kingdom

Julian Kupka

Charles Strickland-Constable

Fridrich Valach

Direct derivation of $$ \mathcal{N} $$ = 1 supergravity in ten dimensions to all orders in fermions

We study higher-derivative corrections to the graviton scattering amplitude in M-theory, via the stress tensor correlator of 3d $$ \mathcal{N} $$ = 8 U($\textit{N}$) × U($\textit{N}$) ABJM theory (dual to graviton scattering in M-theory on AdS × $\textit{S}$ /$\textit{ℤ}$ ). We use the conformal bootstrap combined with an integral constraint derived from supersymmetric localization in order to constrain semishort OPE coefficients appearing in the stress tensor correlator. We obtain islands that are significantly more precise than those in previous studies that did not use the integral constraint. Using these islands, we can estimate the powers and coefficients in a large central charge expansion. This allows us to accurately read off the N LO contribution, from the protected $\textit{D}$ $\textit{R}$ correction, and also estimate the N LO contribution, from the unprotected $\textit{D}$ $\textit{R}$ correction.

Shai Chester

United States

Ross Dempsey

Silviu Pufu

Higher-derivative corrections in M-theory from precision numerical bootstrap

The quest to discover new 3D CFTs has been intriguing for physicists. For this purpose, fuzzy sphere regularization that studies interacting quantum systems defined on the lowest Landau level on a sphere has emerged as a powerful tool. In this Letter, we discover a series of new CFTs with global symmetry <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>Sp</mi><mo stretchy="false">(</mo><mi>N</mi><mo stretchy="false">)</mo></math> in the fuzzy sphere models that are closely related to the SO(5) deconfined phase transition, and are related to a <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>Sp</mi><mo stretchy="false">(</mo><mi>N</mi><mo stretchy="false">)</mo><mo>/</mo><mo stretchy="false">[</mo><mi>Sp</mi><mo stretchy="false">(</mo><mi>M</mi><mo stretchy="false">)</mo><mo>×</mo><mi>Sp</mi><mo stretchy="false">(</mo><mi>N</mi><mo>−</mo><mi>M</mi><mo stretchy="false">)</mo><mo stretchy="false">]</mo></mrow></math> nonlinear sigma model with a Wess-Zumino-Witten term. We numerically verify the emergent conformal symmetry by observing the integer-spaced conformal multiplets, the quality of conformal generators, and studying the finite-size scaling of the conformality. We discuss possible candidates for these newly discovered CFTs, the most plausible ones being Chern-Simons-matter theories which have <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>N</mi></math> flavors of gapless bosons or fermions coupled to a non-Abelian [viz. Sp(1), Sp(2), etc.] Chern-Simons gauge field. Our Letter provides new avenues for studying interacting CFTs in 3D, possibly facilitating the nonperturbative study of critical gauge theories and previously undiscovered CFTs.

Canada

Zheng Zhou

Yin-Chen He

3D Conformal Field Theories with <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>Sp</mi><mo stretchy="false">(</mo><mi>N</mi><mo stretchy="false">)</mo></mrow></math> Global Symmetry on a Fuzzy Sphere

We derive a formula for the half-BPS interface entropy between any pair of $$ \mathcal{N} $$ = (4, 4) theories on the same conformal manifold. This generalizes the diastasis formula derived in [1] for $$ \mathcal{N} $$ = (2, 2) theories, which is restricted to the conformal submanifolds generated by either chiral or twisted chiral multiples of $$ \mathcal{N} $$ = (2, 2) supersymmetry. To derive the $$ \mathcal{N} $$ = (4, 4) formula, we use the fact that the conformal manifold of $$ \mathcal{N} $$ = (4, 4) theories is symmetric and quaternionic-Kähler and that its isotropy group contains the SU(2) ⊗ SU(2) external automorphism of the $$ \mathcal{N} $$ = (4, 4) superconformal algebra. As an application of the formula, we prove a supersymmetric non-renormalization theorem, which explains the observation in [2] that the interface entropy for half-BPS Janus solutions in type IIB supergravity on $\textit{AdS}$ × $\textit{S}$ × $\textit{T}$ coincides with the corresponding quantity in their free conformal field limits.

Andreas Karch

Japan

Hirosi Ooguri

Mianqi Wang

Nonrenormalization theorem for $$ \mathcal{N} $$ = (4, 4) interface entropy

The perturbation series for the renormalization group functions of the $\textit{O}$($\textit{N}$)-symmetric $$\phi ^4$$ field theory are divergent but asymptotic. They are usually followed by Resummation calculations to extract reliable results. Although the same features exist for QED series, their partial sums can return accurate results because the perturbation parameter is small. In this work, however, we show that, for $$N\ge 4$$ , the partial sum (according to optimal truncation) of the series for the exponents $$\nu $$ and $$\eta $$ gives results that are very competitive to the recent Monte Carlo, Non-perturbative Renormalization group and Conformal field calculations. The order at which the series is truncated is inversely proportional to $$\alpha =\sigma \varepsilon =\frac{3\varepsilon }{N+8}$$ which is higher for larger $\textit{N}$ while the error is smaller. Thus as $\textit{N}$ increases one expects accurate perturbative results like the QED case. Such optimal truncation, however, doesn’t work for the series of the critical exponent $$\omega $$ (for intermediate values of $\textit{N}$) as the truncated series includes only the first order. Nevertheless, for $$N\ge 4$$ , the large-order parameter $$\sigma =\frac{3}{N+8}$$ is getting smaller which rationalizes for the use of Pad $$\acute{\textrm{e}}$$ approximation. For that aim, we first obtain the seven-loop $$\varepsilon $$ -series from the recent available corresponding $\textit{g}$-expansion. The seven-loop Pad $$\acute{\textrm{e}}$$ approximation gives accurate results for the three exponents. Besides, for all the seven orders in the series, the large-$\textit{N}$ limit leads to the exact result predicted by the non-perturbative 1/$\textit{N}$-expansion.

Qatar

Abouzeid Shalaby

Accurate critical exponents from the optimal truncation of the $$\varepsilon $$ -expansion within the $\textit{O}$($\textit{N}$)-symmetric field theory for large $\textit{N}$

The chiral worldvolume theory of an M-theory boundary (the so-called M9 brane) is uniquely determined by supersymmetry and anomaly inflow. In this brief note we investigate whether alternative chiral boundary field contents may be allowed by anomaly cancellation once supersymmetry is dropped. Even then, anomaly inflow places stringent constraints on the gauge group $\textit{G}$ and matter content of the boundary worldvolume theory, which we determine explicitly. We find the most general solution to these constraints in the case where all matter fields are of the same chirality, for all simple Lie algebras except $$ {\mathfrak{sp}}_2 $$ , $$ {\mathfrak{su}}_{n\le 5} $$ , and $$ {\mathfrak{so}}_n $$ with 7 ≤ $\textit{n}$ ≤ 12, and find no solutions other than the supersymmetric $\textit{E}$ boundary of Hořava and Witten. However, when we extend our search to allow for any chirality in the matter fields, we find one minimal solution with gauge group $\textit{G}$ , charged matter in the 14, 27 and 77 representations, which satisfies all constraints in a non-trivial way. Therefore, it could in principle describe the low-energy theory of a novel nonsupersymmetric M-theory boundary condition, different from the Hořava-Witten proposal. We briefly discuss some consequences if this was indeed the case, such as the existence of a non-supersymmetric, exotic “$\textit{G}$ -string” CFT in 6d, and a novel, non-perturbative, heterotic-like 10d string with gauge group $\textit{G}$ × $\textit{G}$ .

Spain

Miguel Montero

not found

Mexico

Luis Zapata

M-theory boundaries beyond supersymmetry

We systematically discuss the decay patterns of the hidden-strange hadronic molecular state <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>N</mi><mo>(</mo><mn>2270</mn><mo>)</mo></mrow></math> which is assumed to be an <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi></math>-wave <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msup><mi>K</mi><mo>*</mo></msup><msup><mi mathvariant="normal">Σ</mi><mo>*</mo></msup></mrow></math> shallow bound state with possible quantum numbers <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>J</mi><mi>P</mi></msup></math> of <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow><mo>−</mo></msup><mo>,</mo><mo> </mo><msup><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow><mo>−</mo></msup></math>, and <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mrow><mn>5</mn><mo>/</mo><mn>2</mn></mrow><mo>−</mo></msup></math>. By using the effective Lagrangian approach and considering pseudoscalar meson and vector meson exchanges, we thoroughly calculate and discuss the decay behavior of the <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>N</mi><mo>(</mo><mn>2270</mn><mo>)</mo></mrow></math> molecular state, including hadronic and radiative decay and the cutoff dependence, for different <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>J</mi><mi>P</mi></msup></math> values. For all three cases, the <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msup><mi>K</mi><mo>*</mo></msup><mi mathvariant="normal">Λ</mi></mrow></math> final state is always included as the main decay channel. However, the <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>K</mi><mi mathvariant="normal">Σ</mi></mrow><mo>,</mo><mo> </mo><mrow><mi>K</mi><mi mathvariant="normal">Λ</mi></mrow><mo>,</mo><mo> </mo><mrow><mi>K</mi><msup><mi mathvariant="normal">Σ</mi><mo>*</mo></msup></mrow></math>, and <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>π</mi><mi mathvariant="normal">Δ</mi></mrow></math> final states exhibit notable differences. These different decay properties will provide valuable guidance for future experimental searches and aid in distinguishing different <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>J</mi><mi>P</mi></msup></math> assumptions and understanding their internal structures.

China

Di Ben

Shu-Ming Wu

Decay behavior of hidden-strange hadronic molecular state <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>N</mi><mo>(</mo><mn>2270</mn><mo>)</mo></mrow></math>

We study families of solutions depending only on one coordinate for the theories of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>N</mi><mo>=</mo><mn>2</mn></math>, five-dimensional supergravity coupled to vector multiplets. Four families of solutions, valid for all space-time signatures, are obtained. The explicit metrics of the solutions depend on the Jordan normal forms of constrained matrices. Examples with three charges are given for the so-called STU model.

Lebanon

W.A. Sabra

Landau-Lifshitz solutions of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>N</mi><mo>=</mo><mn>2</mn></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>D</mi><mo>=</mo><mn>5</mn></math> supergravity