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We compute the tree-level bosonic S matrix in light-cone gauge for superstrings on pure-NSNS $\text{AdS}_{3}\times\text{S}^3\times\text{S}^3\times\text{S}^1$. We show that it is proportional to the identity and that it takes the same form…

High Energy Physics - Theory · Physics 2019-03-27 Andrea Dei , Alessandro Sfondrini

WZW models are abstract conformal field theories with an infinite dimensional symmetry which accounts for their integrability, and at the same time they have a sigma model description of closed string propagation on group manifolds which,…

High Energy Physics - Theory · Physics 2009-08-20 Yeuk-Kwan E. Cheung , Laurent Freidel

We analyze the spectrum of perturbative closed strings on AdS3 x S3 x T4 with Ramond-Ramond flux using integrable methods. By solving the crossing equations we determine the massless and mixed-mass dressing factors of the worldsheet S…

High Energy Physics - Theory · Physics 2016-10-12 Riccardo Borsato , Olof Ohlsson Sax , Alessandro Sfondrini , Bogdan Stefanski

We investigate the physical properties of $G_2$-symmetric integrable chains with local degrees of freedom in the fundamental representation; given the typical connection between integrability and critical points, we test the model's…

Strongly Correlated Electrons · Physics 2023-10-18 Chengshu Li , Victor L. Quito , Dirk Schuricht , Pedro L. S. Lopes

We consider the worldsheet S matrix of superstrings on an AdS3xS3xT4 NS-NS background in uniform light-cone gauge. We argue that scattering is given by a CDD factor that is non-trivial only between opposite-chirality particles, yielding a…

High Energy Physics - Theory · Physics 2018-07-25 Marco Baggio , Alessandro Sfondrini

We study a spin chain for a confining string that arises at first order in degenerate perturbation from the strong-coupling expansion of the Kogut-Susskind Hamiltonian on a square lattice in the leading large $N$ expansion. We show some…

High Energy Physics - Theory · Physics 2024-05-09 David Berenstein , Hiroki Kawai

The Wess-Zumino term of the spinning string is constructed in terms of their anomalies using an extended field-antifield formalism. A new feature appears from a fact that the non-anomalous transformations do not form a sub-group. The…

High Energy Physics - Theory · Physics 2009-10-30 J. Gomis , K. Kamimura , R. Kuriki

We discuss the string theory on AdS_3. In the first half of this talk, we review the SL(2,R) and the SL(2,C)/SU(2) WZW models which describe the strings on the Lorentzian and Euclidean AdS_3 without RR backgrounds, respectively. An emphasis…

High Energy Physics - Theory · Physics 2007-05-23 Yuji Satoh

We study the strong coupling expansion of large $N$ QCD in various dimensions, reformulating the Kogut-Susskind Hamiltonian on a square lattice in terms of (constrained) one dimensional spin chain models. We study the integrability…

High Energy Physics - Theory · Physics 2026-03-06 David Berenstein , Hiroki Kawai

We bootstrap the all-loop dynamic S-matrix for the homogeneous psu(1,1|2)^2 spin-chain believed to correspond to the discretization of the massive modes of string theory on AdS_3 x S^3 x T^4. The S-matrix is the tensor product of two copies…

High Energy Physics - Theory · Physics 2015-06-15 Riccardo Borsato , Olof Ohlsson Sax , Alessandro Sfondrini , Bogdan Stefanski , Alessandro Torrielli

The paper examines correspondence among correlation functions of symmetric orbifold and string theory on AdS3 described by sl(2) Wess-Zumino-Novikov-Witten (WZNW) model. We start by writing down n-point function of twist operators in the…

High Energy Physics - Theory · Physics 2020-10-28 Yasuaki Hikida , Tianshu Liu

In this paper we discuss a universal integrable model, given by a sum of two Wess-Zumino-Witten-Novikov (WZWN) actions, corresponding to two different orbits of the coadjoint action of a loop group on its dual, and the Polyakov-Weigmann…

Exactly Solvable and Integrable Systems · Physics 2015-06-26 Partha Guha , Mikhail Olshanetsky

According to the Axionic String Anstaz (ASA) confining flux tubes in pure gluodynamics are in the same equivalence class as a new family of integrable non-critical strings, called axionic strings. In addition to translational modes, axionic…

High Energy Physics - Theory · Physics 2019-05-01 John C. Donahue , Sergei Dubovsky , Guzmán Hernández-Chifflet , Sergey Monin

Wilson loops are calculated within the AdS/CFT correspondence by finding a classical solution to the string equations of motion in AdS_5 x S^5 and evaluating its action. An important fact is that this sigma-model used to evaluate the Wilson…

High Energy Physics - Theory · Physics 2009-11-11 Nadav Drukker , Bartomeu Fiol

The spectrum of the integrable spin-S Heisenberg chains is completely characterized in terms of spin-1/2 spinons. In the continuum limit they form a quasi-particle basis to the higher level SU(2) Wess-Zumino-Witten (WZW) models. Enumerating…

Condensed Matter · Physics 2009-10-31 Holger Frahm , Martin Stahlsmeier

The $\textrm{SL}(2,\mathbb{R})$ Wess-Zumino-Novikov-Witten model realises bosonic-string theory in $\textrm{AdS}_{3}$ with pure Neveu-Schwarz-Neveu-Schwarz flux. We construct an effective action in the semi-classical limit of the model,…

High Energy Physics - Theory · Physics 2021-06-04 Roberto Ruiz

We consider strings with large spin in AdS_3xS^3xM with NS-NS background. We construct the string configurations as solutions of SL(2,R) WZW theory. We compute the relation between the space-time energy and spin, and show that the anomalous…

High Energy Physics - Theory · Physics 2009-09-29 Amit Loewy , Yaron Oz

Classical strings propagating in $AdS_{3}\times S^{3}\times T^{4}$ supported with Neveu-Schwarz-Neveu-Schwarz flux are described by a Wess-Zumino-Witten model. In this note, we study the emergence of their semiclassical $SU(2)$ spectrally…

High Energy Physics - Theory · Physics 2020-03-11 Rafael Hernandez , Juan Miguel Nieto , Roberto Ruiz

We study integrable deformations of AdS/CFT by focusing upon three kinds of warped AdS_3 geometries, 1) space-like warped AdS_3, 2) time-like warped AdS_3 and 3) null warped AdS_3. These geometries are embedded into type IIB supergravity…

High Energy Physics - Theory · Physics 2015-06-15 Takashi Kameyama , Kentaroh Yoshida

We study classical integrability of the supersymmetric U(N) $\sigma$ model with the Wess-Zumino-Witten term on full and half plane. We demonstrate the existence of nonlocal conserved currents of the model and derive general recursion…

High Energy Physics - Theory · Physics 2009-11-10 R. A. Zait , M. F. Mourad
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