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We study periodic spectral problems through their connection with supersymmetric gauge theories and two-dimensional conformal field theory. To characterize the associated stability chart, we develop a novel and systematic approach for…

High Energy Physics - Theory · Physics 2025-07-08 Giulio Bonelli , Pavlo Gavrylenko , Tommaso Pedroni , Alessandro Tanzini

We explicitly construct the holographic dual configuration for the four dimensional $\mathcal{N}=4$ superconformal block containing half-BPS scalar primary operators by considering its full $AdS_5 \times S^5$ dual geometry. We extend the…

High Energy Physics - Theory · Physics 2020-10-20 Heng-Yu Chen , Jun-ichi Sakamoto

We study noncentrosymmetric superconductors with the tetrahedral $T_d$, tetragonal $C_{4v}$, and cubic point group $O$. The order parameter is computed self-consistently in the bulk and near a surface for several different singlet to…

Superconductivity · Physics 2017-03-08 N. Wennerdal , M. Eschrig

We study conformal blocks for thermal one-point-functions on the sphere in conformal field theories of general dimension. These thermal conformal blocks satisfy second order Casimir differential equations and have integral representations…

High Energy Physics - Theory · Physics 2019-08-07 Yan Gobeil , Alexander Maloney , Gim Seng Ng , Jie-qiang Wu

We study correlation functions of scalar operators on the boundary of the $AdS_3$ space deformed by moving massive particles in the context of the AdS/CFT duality. To calculate two-point correlation functions we use the geodesic…

High Energy Physics - Theory · Physics 2016-12-15 D. S. Ageev , I. Ya. Aref'eva , M. D. Tikhanovskaya

We analyse holographic field theory dual to Lovelock Chern-Simons AdS Gravity in higher dimensions using first order formalism. We first find asymptotic symmetries in the AdS sector showing that they consist of local translations, local…

High Energy Physics - Theory · Physics 2017-08-30 Branislav Cvetković , Olivera Miskovic , Dejan Simić

Classical conformal blocks naturally appear in the large central charge limit of 2D Virasoro conformal blocks. In the $AdS_{3}/CFT_{2}$ correspondence, they are related to classical bulk actions and are used to calculate entanglement…

High Energy Physics - Theory · Physics 2018-05-10 Máté Lencsés , Fábio Novaes

We study conformal blocks of conformal field theories with a W3 symmetry algebra in the limit where the central charge is large. In this limit, we compute the four-point block as a special case of an sl3-invariant function. In the case when…

High Energy Physics - Theory · Physics 2015-05-30 Vladimir Fateev , Sylvain Ribault

The first analytic topologically non-trivial solutions in the (3+1)-dimensional gauged non-linear sigma model representing multi-solitons at finite volume with manifest ordered structures generating their own electromagnetic field are…

High Energy Physics - Theory · Physics 2019-06-17 Fabrizio Canfora , Seung Hun Oh , Aldo Vera

Form factors in the sinh-Gordon model are studied semiclassically for small values of the parameter $b\sim\hbar^{1/2}$ in the background of a radial classical solution, which describes a heavy exponential operator placed at the origin. For…

High Energy Physics - Theory · Physics 2024-04-08 Michael Lashkevich , Oleg Lisovyy , Tatiana Ushakova

The decomposition of correlation functions into conformal blocks is an indispensable tool in conformal field theory. For spinning correlators, non-trivial tensor structures are needed to mediate between the conformal blocks, which are…

High Energy Physics - Theory · Physics 2020-10-28 Ilija Buric , Mikhail Isachenkov , Volker Schomerus

Fully gapped two-dimensional superconductors coupled to dynamical electromagnetism are known to exhibit topological order. In this work, we develop a unified low-energy description for spin-singlet paired states by deriving topological…

Superconductivity · Physics 2017-01-17 Sergej Moroz , Abhinav Prem , Victor Gurarie , Leo Radzihovsky

We study N = 2 supersymmetric gauge theories with gauge group SU(2) coupled to fundamental flavours, covering all asymptotically free and conformal cases. We re-derive, from the conformal field theory perspective, the differential equations…

High Energy Physics - Theory · Physics 2016-08-24 Sujay K. Ashok , Dileep P. Jatkar , Renjan R. John , Madhusudhan Raman , Jan Troost

The Seiberg-Witten prepotentials for N=2 SUSY gauge theories with N_f<2N_c fundamental multiplets are obtained from conformal N_f=2N_c theory by decoupling 2N_c-N_f multiplets of heavy matter. This procedure can be lifted to the level of…

High Energy Physics - Theory · Physics 2009-12-04 A. Marshakov , A. Mironov , A. Morozov

The half-supersymmetric Wilson loop in $\mathcal N=4$ SYM is arguably the central non-local operator in the AdS/CFT correspondence. On the field theory side, the vacuum expectation values of Wilson loops in arbitrary representations of…

High Energy Physics - Theory · Physics 2016-02-02 Alberto Faraggi , James T. Liu , Leopoldo A. Pando Zayas , Guojun Zhang

A world-volume model of non-critical 3-brane is quantized in a strong coupling phase where fluctuations of the conformal mode become dominant. This phase, called the conformal-mode dominant phase, is realized at the very high energy far…

High Energy Physics - Theory · Physics 2009-11-10 Ken-ji Hamada , Shinichi Horata

We present a data-driven method for holographic bulk reconstruction that works even when the spacetime is not asymptotically AdS. Given the data of boundary Green functions within a finite frequency window, we iteratively adjust a bulk…

High Energy Physics - Theory · Physics 2025-09-03 Cheng Ran , Shao-Feng Wu , Zhuo-Yu Xian

The semimetal-superconductor quantum phase transition on the two-dimensional (2D) surface of a 3D topological insulator is conjectured to exhibit an emergent $\mathcal{N}=2$ supersymmetry, based on a renormalization group (RG) analysis at…

Strongly Correlated Electrons · Physics 2016-11-07 Nikolai Zerf , Chien-Hung Lin , Joseph Maciejko

We study static black hole solutions with locally spherical horizons coupled to non-Abelian field in $\mathcal{N}=4$ Chern-Simons AdS$_5$ supergravity. They are governed by three parameters associated to the mass, axial torsion and…

High Energy Physics - Theory · Physics 2021-11-23 Laura Andrianopoli , Gaston Giribet , Darío López Díaz , Olivera Miskovic

An analytic reversible Hamiltonian system with two degrees of freedom is studied in a neighborhood of its symmetric heteroclinic connection made up of a symmetric saddle-center, a symmetric orientable saddle periodic orbit lying in the same…

Dynamical Systems · Mathematics 2021-02-24 L. M. Lerman , K. N. Trifonov