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We give an update on our derivation of a quantization condition relating the finite-volume spectrum of three particles in a cubic box to infinite-volume scattering quantities. We have discovered and fixed technical problems in the…

High Energy Physics - Lattice · Physics 2014-09-25 Maxwell T. Hansen , Stephen R. Sharpe

Working in relativistic quantum field theory, we derive the quantization condition satisfied by coupled two- and three-particle systems of identical scalar particles confined to a cubic spatial volume with periodicity $L$. This gives the…

High Energy Physics - Lattice · Physics 2017-05-02 Raúl A. Briceño , Maxwell T. Hansen , Stephen R. Sharpe

We revisit the description of the space of asymptotically AdS3 solutions of pure gravity in three dimensions with a negative cosmological constant as a collection of coadjoint orbits of the Virasoro group. Each orbit corresponds to a set of…

High Energy Physics - Theory · Physics 2015-06-19 Alan Garbarz , Mauricio Leston

It is known that string theory on $AdS_3\times M_7$ backgrounds preserving 16 supercharges is classically integrable. This integrability has been previously used to write down a set of integral equations, known as the finite-gap equations.…

High Energy Physics - Theory · Physics 2015-06-18 Thomas Lloyd , Bogdan Stefański

The AdS_3 x S^3 string dynamics is described in a conformal gauge using the SL(2,R) and SU(2) group variables as the target space coordinates. A subclass of string surfaces with constant induced metric tensor on both AdS_3 and S^3…

Mathematical Physics · Physics 2012-09-19 George Jorjadze , Zurab Kepuladze , Luka Megrelidze

We discuss the classical solutions of the equations of motion and the possible boundary condition for a bosonic string with Kalb-Ramond background in AdS3. It turns out that there exists three different physical sectors and that it is also…

High Energy Physics - Theory · Physics 2007-05-23 Igor Pesando

In this work, we use an extension of the quantization condition, given in Ref. [1], to numerically explore the finite-volume spectrum of three relativistic particles, in the case that two-particle subsets are either resonant or bound. The…

High Energy Physics - Lattice · Physics 2019-10-17 Fernando Romero-López , Stephen R. Sharpe , Tyler D. Blanton , Raúl A. Briceño , Maxwell T. Hansen

We classify all possible charge-3 monopole spectral curves with non-trivial automorphism group and within these identify those with elliptic quotients. By focussing on elliptic quotients the transcendental constraints for a monopole…

High Energy Physics - Theory · Physics 2023-12-14 H. W. Braden , Linden Disney-Hogg

Given asymptotically flat initial data on M^3 for the vacuum Einstein field equation, and given a bounded domain in M, we construct solutions of the vacuum constraint equations which agree with the original data inside the given domain, and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Justin Corvino , Richard M. Schoen

We study the spectrum of pure massless higher spin theories in $AdS_3$. The light spectrum is given by a tower of massless particles of spin $s=2,\cdots,N$ and their multi-particles states. Their contribution to the torus partition function…

High Energy Physics - Theory · Physics 2020-12-30 Luis F. Alday , Jin-Beom Bae , Nathan Benjamin , Carmen Jorge-Diaz

We discuss semiclassical quantization of circular pulsating strings in AdS3 x S3 background with and without the Neveu-Schwarz- Neveu-Schwarz (NS-NS) flux. We find the equations of motion corresponding to the quadratic action in bosonic…

High Energy Physics - Theory · Physics 2018-10-23 Sorna Prava Barik , Kamal L. Panigrahi , Manoranjan Samal

We propose a set of Bethe equations yielding the full asymptotic spectrum of the AdS4/CFT3 duality proposed in arXiv:0806.1218 to all orders in the t'Hooft coupling. These equations interpolate between the 2-loop Bethe ansatz of Minahan and…

High Energy Physics - Theory · Physics 2009-02-12 Nikolay Gromov , Pedro Vieira

Chiral gravity admits asymptotically AdS3 solutions that are not locally equivalent to AdS3; meaning that solutions do exist which, while obeying the strong boundary conditions usually imposed in General Relativity, happen not to be…

High Energy Physics - Theory · Physics 2013-05-29 Gaston Giribet , Andrés Goya , Mauricio Leston

We develop the derivation we proposed in hep-th/0703177 of the dressing phase of the S-matrix in the AdS/CFT correspondence in the framework of the underlying bare integrable model. We elaborate the configuration of the Bethe roots…

High Energy Physics - Theory · Physics 2009-06-10 Kazuhiro Sakai , Yuji Satoh

We study a quintessential black hole solution in three dimensions, with mass and quintessence charge. By exploring the Carter-Penrose diagram, we show the presence of spacelike and lightlike singularities in the metric, given different…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Jeferson de Oliveira , R. D. B. Fontana

We classify solutions to Einstein's equations in AdS with Ricci-flat boundary metric and with covariantly constant boundary stress tensor, which in general is not diagonalizable, i.e. it does not admit a reference frame. New solutions are…

General Relativity and Quantum Cosmology · Physics 2017-01-30 Paolo Glorioso

We study classical open string solutions with a null polygonal boundary in AdS_3 in relation to gluon scattering amplitudes in N=4 super Yang-Mills at strong coupling. We derive in full detail the set of integral equations governing the…

High Energy Physics - Theory · Physics 2014-11-20 Yasuyuki Hatsuda , Katsushi Ito , Kazuhiro Sakai , Yuji Satoh

Following the general formalism presented in arXiv:0812.3615 -- referred to as Paper I -- we derive the unfolded equations of motion for tensor fields of arbitrary shape and mass in constantly curved backgrounds by radial reduction of…

High Energy Physics - Theory · Physics 2009-07-22 Nicolas Boulanger , Carlo Iazeolla , Per Sundell

This is a combined write-up for two talks which were given consecutively and which described different aspects of the same topic. We present a generalization of L\"uscher's relation between the finite-volume spectrum and S-matrix to three…

High Energy Physics - Lattice · Physics 2013-11-20 Maxwell T. Hansen , Stephen R. Sharpe

In arXiv:2306.17553 a new supersymmetric integrable QFT was constructed from the relativistic limit of the worlsdheet theory of AdS$_3 \times$ S$^3\times $T$^4$ superstrings with mixed Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz flux. The…

High Energy Physics - Theory · Physics 2025-07-21 Xavier Kervyn , Davide Polvara , Alessandro Sfondrini
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