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We derive the asymptotic Bethe ansatz (AFS equations) for the string on S^3 x R sector of AdS_5 x S^5 from the integrable nonhomogeneous dynamical spin chain for the string sigma model proposed in GKSV. It is clear from the derivation that…

High Energy Physics - Theory · Physics 2008-11-26 Nikolay Gromov , Vladimir Kazakov

We construct the spectral curve of gamma-deformed AdS/CFT from the strong coupling scaling limit of the T-system. As we interpret the twisted T-functions in the classical limit as characters of the highest weight representations of the…

High Energy Physics - Theory · Physics 2014-09-22 Minkyoo Kim

The construction of analytic solutions for quasi-exactly solvable systems is an interesting problem. We revisit a class of models for which the odd solutions were largely missed previously in the literature: the anharmonic oscillator, the…

Mathematical Physics · Physics 2024-09-17 Siyu Li , Ian Marquette , Yao-Zhong Zhang

We consider a free complex massive scalar on the quotient spacetime AdS$_3/\mathbb{Z}$, which has the isometry group SO(2,2) rather than its universal cover. This problem is of interest as a special example of QFT on a spacetime with closed…

High Energy Physics - Theory · Physics 2025-10-20 Walker Melton , Andrew Strominger , Tianli Wang

We propose a simple unfolded description of free massive higher spin particles in anti-de-Sitter spacetime. While our unfolded equation of motion has the standard form of a covariant constancy condition, our formulation differs from the…

High Energy Physics - Theory · Physics 2018-08-29 Pan Kessel , Joris Raeymaekers

In this work, based on consideration of periodicity and asymptotic forms of wave function, we propose a novel approach to the solution of finite volume three-body problem by mapping a three-body problem into a higher dimensional two-body…

High Energy Physics - Lattice · Physics 2017-11-22 Peng Guo , Vladimir Gasparian

We consider three-dimensional AdS gravity minimally coupled to a massless scalar field and study numerically the evolution of small smooth circularly symmetric perturbations of the $AdS_3$ spacetime. As in higher dimensions, for a large…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Piotr Bizoń , Joanna Jałmużna

The spectral problem for the ${\rm AdS}_5\times {\rm S}^5$ superstring and its dual planar maximally supersymmetric Yang-Mills theory can be efficiently solved through a set of functional equations known as the quantum spectral curve. We…

High Energy Physics - Theory · Physics 2018-03-14 Rob Klabbers , Stijn J. van Tongeren

In integrable quantum field theories the large volume spectrum is given by the Bethe Ansatz. The leading corrections, due to virtual particles circulating around the cylinder, are encoded in so-called Luscher corrections. In order to apply…

High Energy Physics - Theory · Physics 2015-05-20 Romuald A. Janik

In this paper we consider the structure of the $AdS_3$ vacua in $R^3$ expansion of the New Massive Gravity ($R^3$-NMG). We obtain the degeneracies of the $AdS_3$ vacua at several points of the parametric space. Additionally, following a…

High Energy Physics - Theory · Physics 2013-10-08 Giorgos G. Anastasiou , M. R. Setare , Elias C. Vagenas

The plane-wave limit of ${\rm AdS}_3 \times {\rm S}^3 \times {\rm S}^3 \times {\rm S}^1$ is analysed for generic null-geodesics that are not necessarily BPS. For the case of pure NS-NS flux it is shown how the resulting spectrum can be…

High Energy Physics - Theory · Physics 2018-05-24 Andrea Dei , Matthias R. Gaberdiel , Alessandro Sfondrini

A consistent set of asymptotic conditions for higher spin gravity in three dimensions is proposed in the case of vanishing cosmological constant. The asymptotic symmetries are found to be spanned by a higher spin extension of the BMS3…

High Energy Physics - Theory · Physics 2013-09-09 Hernan A. Gonzalez , Javier Matulich , Miguel Pino , Ricardo Troncoso

The formalism relating the relativistic three-particle infinite-volume scattering amplitude to the finite-volume spectrum has been developed thus far only for identical or degenerate particles. We provide the generalization to the case of…

High Energy Physics - Lattice · Physics 2021-03-17 Tyler D. Blanton , Stephen R. Sharpe

We consider the massive wave equation on asymptotically AdS spaces. We show that the timelike scri behaves like a finite timelike boundary, on which one may impose the equivalent of Dirichlet, Neumann or Robin conditions for a range of…

General Relativity and Quantum Cosmology · Physics 2014-07-29 C. M. Warnick

String theory on AdS_3 x S^3 is studied in the hybrid formulation. We give a detailed description of the PSL(2|2) supergroup WZW model that underlies the background with pure NS-NS flux, and determine the BRST-cohomology corresponding to…

High Energy Physics - Theory · Physics 2015-05-28 Matthias R. Gaberdiel , Sebastian Gerigk

We quantize the set of all quarter BPS brane probe solutions in global AdS_3 \times S^3 \times T^4/K3 found in arxiv:0709.1168 [hep-th]. We show that, generically, these solutions give rise to states in discrete representations of the…

High Energy Physics - Theory · Physics 2008-11-26 Suvrat Raju

We first analyse the integrable scattering theory describing the massless excitations of $AdS_2 \times S^2 \times T^6$ superstrings in the relativistic limit. The matrix part of the S-matrix is obtained in the BMN limit from the conjectured…

High Energy Physics - Theory · Physics 2017-10-25 Andrea Fontanella , Alessandro Torrielli

We find an asymptotic solution for two-, three- and multi-point correlators of local gauge-invariant operators, in a lower-spin sector of massless large-$N$ $QCD$, in terms of glueball and meson propagators, in such a way that the solution…

High Energy Physics - Theory · Physics 2014-11-25 Marco Bochicchio

The exact analytical solution of Maxwell equations for a Bessel light beam scattered by a sphere is found. Scattered power, stored energy and a generalized Q factor as a function of frequency, the sphere radius, permittivity, and the Bessel…

Optics · Physics 2020-08-26 Vasily Klimov

It is known that certain AdS boundary conditions allow smooth initial data to evolve into a big crunch. To study this type of cosmological singularity, one can use the dual quantum field theory, where the non-standard boundary conditions…

High Energy Physics - Theory · Physics 2010-03-29 Alice Bernamonti , Ben Craps