$$ \mathcal{N} $$ = 1 superconformal minimal models are the first series of unitary conformal field theories (CFTs) extending beyond Virasoro algebra. Using coset constructions, we characterize CFTs in $$ \mathcal{N} $$ = 1 superconformal minimal models using combinations of a parafermion theory, an Ising theory and a free boson theory. Supercurrent operators in the original theory also becomes sums of operators from each constituent theory. If we take our $$ \mathcal{N} $$ = 1 superconformal theories as the neutral part of the edge theory of a fractional quantum Hall state, we present a systematic way of calculating its ground state wavefunction using free field methods. Each ground state wavefunction is known previously as a sum of polynomials with distinct clustering behaviours. Based on our decomposition, we find explicit expressions for each summand polynomial. A brief generalization to $\textit{S}$ minimal models using coset construction is also included.

United States

Yichen Hu

United Kingdom

Sirui Ning

Japan

Yehao Zhou

Decomposition of $$ \mathcal{N} $$ = 1 superconformal minimal models and their fractional quantum Hall wavefunctions

We continue to explore the previously suggested dual regime of Yang-Baxter (YB) deformed <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">O</mi><mo stretchy="false">(</mo><mn>2</mn><mi>N</mi><mo stretchy="false">)</mo></math> sigma models, which is a new one-parametric deformation of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">O</mi><mo stretchy="false">(</mo><mn>2</mn><mi>N</mi><mo stretchy="false">)</mo></math> model. It can be obtained from the conventional YB deformed <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">O</mi><mo stretchy="false">(</mo><mn>2</mn><mi>N</mi><mo>+</mo><mn>2</mn><mo stretchy="false">)</mo></math> sigma model by freezing two isometries. The scattering matrix in the nondeformed <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">O</mi><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">)</mo></math> model is known to coincide with the rational <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mrow><mi mathvariant="fraktur">so</mi></mrow><mi>n</mi></msub></math>-invariant <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>R</mi></math>-matrix. For <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>n</mi><mo>=</mo><mn>2</mn><mi>N</mi></math> this rational solution allows for two trigonometric deformations: the usual <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>D</mi><mi>N</mi><mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></msubsup></math> and the twisted <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>D</mi><mi>N</mi><mrow><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></msubsup></math>. The usual one is known to coincide with the scattering matrix of the conventional YB-<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">O</mi><mo stretchy="false">(</mo><mn>2</mn><mi>N</mi><mo stretchy="false">)</mo></math> model. A natural question to ask is what sigma model corresponds to the twisted solution. In this work we claim that it is precisely our dual regime of YB-<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">O</mi><mo stretchy="false">(</mo><mn>2</mn><mi>N</mi><mo stretchy="false">)</mo></math>. We find the corresponding unitarizing function <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>F</mi><mi>N</mi></msub><mo stretchy="false">(</mo><mi>θ</mi><mo stretchy="false">)</mo></math> explicitly, and, as a bonus, extract some physical properties of this system using the thermodynamic Bethe ansatz technique.

Russia

Alexey Bychkov

Boris Nekrasov

Scattering in the dual regime of Yang-Baxter deformed <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi mathvariant="normal">O</mi><mo stretchy="false">(</mo><mn>2</mn><mi>N</mi><mo stretchy="false">)</mo></mrow></math> sigma models

It is believed that the theory of quantum gravity describing our universe is unitary. Nonetheless, if we only have access to a subsystem, its dynamics is described by nonequilibrium physics. Motivated by this, we investigate the planar limit of large $\textit{N}$ ungauged one-matrix quantum mechanics obeying the Lindblad master equation with dissipative jump terms, focusing on the existence, uniqueness, and properties of steady states that signal nonequilibrium phase transitions. In the first class of examples, where potentials are unbounded from below, we study nonequilibrium critical points above which strong dissipation allows for the existence of normalizable steady states that would otherwise not exist. In the second class of examples, termed matrix quantum optics, we find evidence of nonequilibrium phase transitions analogous to those recently reported in the quantum optics literature for driven-dissipative Kerr resonators. Preliminary results on two-matrix quantum mechanics are also presented. We implement bootstrap methods to obtain concrete and rigorous results for the nonequilibrium steady states of matrix quantum mechanics in the planar limit.

Minjae Cho

Nonequilibrium phase transitions in Large $\textit{N}$ matrix quantum mechanics

The Deep Underground Neutrino Experiment (DUNE) is a next-generation neutrino experiment with a rich physics program that includes searches for the hypothetical phenomenon of proton decay. Utilizing liquid-argon time-projection chamber technology, DUNE is expected to achieve world-leading sensitivity in the proton decay channels that involve charged kaons in their final states. The first DUNE demonstrator, ProtoDUNE Single-Phase, was a 0.77 kt detector that operated from 2018 to 2020 at the CERN Neutrino Platform, exposed to a mixed hadron and electron test-beam with momenta ranging from 0.3 to <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>7</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi><mo>/</mo><mi mathvariant="normal">c</mi></mrow></math>. We present a selection of low-energy kaons among the secondary particles produced in hadronic reactions, using data from the 6 and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>7</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi><mo>/</mo><mi mathvariant="normal">c</mi></mrow></math> beam runs. The selection efficiency is 1% and the sample purity 92%. The initial energies of the selected kaon candidates encompass the expected energy range of kaons originating from proton decay events in DUNE (below <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mo>∼</mo><mn>200</mn><mtext> </mtext><mtext> </mtext><mi>MeV</mi></math>). In addition, we demonstrate the capability of this detector technology to discriminate between kaons and other particles such as protons and muons, and provide a comprehensive description of their energy loss in liquid argon, which shows good agreement with the simulation. These results pave the way for future proton decay searches at DUNE.

Iran

S. Abbaslu

F. Abd Alrahman

CERN

A. Abed Abud

R. Acciarri

Brazil

L.P. Accorsi

Colombia

M.A. Acero

M.R. Adames

Georgia

G. Adamov

M. Adamowski

C. Adriano

F. Akbar

Italy

F. Alemanno

N.S. Alex

K. Allison

M. Alrashed

A. Alton

Spain

R. Alvarez

T. Alves

A. Aman

H. Amar

P. Amedo

J. Anderson

D.A. Andrade

C. Andreopoulos

M. Andreotti

M.P. Andrews

Madagascar

F. Andrianala

Portugal

S. Andringa

F. Anjarazafy

S. Ansarifard

D. Antic

M. Antoniassi

Mexico

A. Aranda-Fernandez

Chile

T. Araya-Santander

L. Arellano

E. Arrieta Diaz

M.A. Arroyave

M. Artero Pons

J. Asaadi

M. Ascencio

Israel

A. Ashkenazi

D. Asner

L. Asquith

E. Atkin

France

D. Auguste

A. Aurisano

Ukraine

V. Aushev

D. Autiero

D. Ávila Gómez

M.B. Azam

F. Azfar

A. Back

J.J. Back

Y. Bae

I. Bagaturia

L. Bagby

Kazakhstan

D. Baigarashev

S. Balasubramanian

A. Balboni

P. Baldi

W. Baldini

J. Baldonedo

B. Baller

India

B. Bambah

F. Barao

Romania

D. Barbu

G. Barenboim

P. Barham Alzás

G.J. Barker

W. Barkhouse

G. Barr

A. Barros

N. Barros

D. Barrow

J.L. Barrow

A. Basharina-Freshville

A. Bashyal

V. Basque

M. Bassani

D. Basu

C. Batchelor

L. Bathe-Peters

J.B.R. Battat

F. Battisti

J. Bautista

Türkiye

F. Bay

J.L.L. Bazo Alba

J.F. Beacom

E. Bechetoille

B. Behera

E. Belchior

B. Bell

G. Bell

L. Bellantoni

G. Bellettini

V. Bellini

O. Beltramello

Armenia

A. Belyaev

Paraguay

C. Benitez Montiel

D. Benjamin

Identification of low-energy kaons in the ProtoDUNE-SP detector

By means of the zero-curvature equation and two sets of Lenard recursion sequences, we construct a nonisospectral generalized 3 × 3 Ablowitz–Kaup–Newell–Segur (AKNS) integrable hierarchy. The general inhomogeneous Dirac–Manakov equations with temporally and spatially modulated coefficients are derived. Under some special reductions, the two-component nonlinear Schrödinger (NLS) or Manakov equations with helicoidal spin-orbit (SO) coupling, Rabi coupling, and mixed helicoidal SO and Rabi couplings are obtained. In particular, we propose several novel inhomogeneous two-component NLS equations which have variable helicoidal SO and Rabi couplings as well as external potentials. The <italic>N</italic>-fold Darboux-dressing transformation related to the nonisospectral generalized 3&#8239;&#215;&#8239;3 AKNS matrix eigenvalue problem is established, and further the <italic>N</italic>-soliton solution represented in a compact determinant form is given. The classification of solitons for a two-component NLS equations with temporally modulated mixed helicoidal SO and Rabi couplings is discussed in detail. Specifically, three types of solitons including beating, bell-shaped and multi-peak solitons as well as their parabolic, periodic, exponential and kinked deformations, and some unconventional nonlinear superpositions are presented.

China

Jiao Wei

Xin Wang

Yanpei Zhen

Chendi Zhu

Tengjin Zhao

The general integrable inhomogeneous Dirac–Manakov equations: Darboux-dressing transformation and <italic>N</italic>-soliton solutions

We derive a parameter-free geometric constraint on residue phases dictated by the pole-threshold angle. Using the <italic>N</italic>(2190) anomaly as a test case, this constraint reveals a sign ambiguity in prior data; correcting the sign ambiguity yields a phase of <math altimg='si13.svg'><mrow><mo>&#8722;</mo><msup><mn>28</mn><mo>&#8728;</mo></msup><mo>&#177;</mo><msup><mn>10</mn><mo>&#8728;</mo></msup></mrow></math>, matching our prediction. This consistency validates the method as a model-independent diagnostic for distinguishing compact from molecular states, offering a rigorous tool for exotic spectroscopy.

Croatia

S. Ceci

Bosnia and Herzegovina

R. Omerović

H. Osmanović

M. Uroić

M. Vukšić

B. Zauner

Geometric constraint on residue phases: resolving the <italic>N</italic>(2190) anomaly and implications for exotic states

We investigate low-energy <italic>N&#981;</italic> scattering driven by a pole-enhanced triangle-like diagram, in which the two-Kaon-exchange contribution is promoted by the near-threshold &#923;(1405) pole in the <math altimg='si3.svg'><mrow><mi>N</mi><mover accent='true'><mi>K</mi><mo>&#175;</mo></mover></mrow></math> subsystem. Using an unphysical Kaon mass motivated by lattice simulations, we evaluate the <italic>N&#981;</italic> scattering length and find that this mechanism generates an attractive interaction with a magnitude of <math altimg='si7.svg'><mrow><mo>&#8722;</mo><mn>1.1</mn></mrow></math> to <math altimg='si8.svg'><mrow><mo>&#8722;</mo><mn>0.5</mn><mspace width='0.16em' /><mtext>fm</mtext></mrow></math>. Spin-dependent effects are not treated explicitly and are expected to provide subleading corrections in the near-threshold region. We further analyze the low-energy behavior of the triangle-like diagram amplitude and show that the scattering length depends on the parameter <italic>&#948;</italic>, defined as the mass difference between the <math altimg='si9.svg'><mrow><mi>K</mi><mover accent='true'><mi>K</mi><mo>&#175;</mo></mover></mrow></math> threshold and the <italic>&#981;</italic> meson, and the pole position of &#923;(1405), where the &#923;(1405) plays a crucial role to understand <italic>N&#981;</italic> interaction. Furthermore, by employing physical hadron masses, our calculated scattering length is found to be consistent with current experimental data, providing a unified description across both unphysical and physical mass regimes. This type of interaction differs from that associated with van der Waals-type forces or the long-range tail of two-pion exchange, highlighting the role of three-body dynamics encoded in the pole-enhanced triangle-like diagram in shaping the near-threshold <italic>N&#981;</italic> interaction.

Mao-Jun Yan

Chun-Sheng An

Cheng-Rong Deng

Low-energy <italic>N&#981;</italic> scattering from a pole-enhanced triangle diagram

We compute the next-to-leading-power corrections in the $\textit{N}$-jettiness variable to the production of a prompt photon and a jet at next-to-leading order in perturbative QCD in the $$ q\overline{q} $$ annihilation channel. We employ the $\textit{k}$ jet algorithm and assume that the $\textit{N}$-jettiness value divided by the jet transverse momentum is the smallest parameter in the problem; in particular it should be small compared to the jet radius $\textit{R}$.

Germany

Prem Agarwal

Kirill Melnikov

Ivan Pedron

Power corrections to the production of a prompt photon in association with a jet in the $\textit{N}$-jettiness slicing scheme at NLO QCD

We define two new indecomposable (not fully reducible) <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>8</mn></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>d</mi><mo>=</mo><mn>1</mn></math> off-shell multiplets and consider the corresponding models of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>8</mn></math> supersymmetric mechanics with spin variables. Each multiplet is described off shell by a scalar superfield which is a nonlinear deformation of the standard scalar superfield <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>X</mi></math> carrying the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>d</mi><mo>=</mo><mn>1</mn></math> multiplet (<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn mathvariant="bold">1</mn><mo>,</mo><mn mathvariant="bold">8</mn><mo>,</mo><mn mathvariant="bold">7</mn></mrow></math>). Deformed systems involve, as invariant subsets, two different off-shell versions of the irreducible multiplet (<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn mathvariant="bold">8</mn><mo>,</mo><mn mathvariant="bold">8</mn><mo>,</mo><mn mathvariant="bold">0</mn></mrow></math>). For both systems we present the manifestly <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>8</mn></math> supersymmetric superfield constraints, as well as the component off- and on-shell invariant actions, which for one version exactly match those given in <a href="http://arXiv.org/abs/2402.00539">arXiv:2402.00539</a>. The two models differ off shell, but prove to be equivalent to each other on shell, with the spin variables sitting in the adjoint representation of the maximal <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>R</mi></math>-symmetry group <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>SO</mi></mrow><mo stretchy="false">(</mo><mn>8</mn><mo stretchy="false">)</mo></math>.

JINR

Evgeny Ivanov

Stepan Sidorov

<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>8</mn></math> supersymmetric mechanics with spin variables from indecomposable multiplets

It is well known that there is a region of parameter space where all purely electric, static, dilatonic black holes are unstable within the STU models of maximal supergravity. We show that, for planar black holes, it is possible to complete the thermal phase space with AdS solitons, in such a way that the instability of the black holes signals the onset of confinement in the dual field theory. The analysis is done for the $\textit{D}$ = 4 STU model of maximal gauged supergravity which naturally uplift to M-theory on the $\textit{S}$ .

Andrés Anabalón

Dumitru Astefanesei

Julio Oliva

Gabriel Ortega

Jorge Urbina

Phase transitions and black hole stability in gauged $$ \mathcal{N} $$ = 8 supergravity