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Related papers: Strings on NS-NS Backgrounds as Integrable Deforma…

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We discuss the spectrum of a string propagating on eta-deformed AdS_5 x S^5 by treating its world-sheet theory as an integrable quantum field theory. The exact S-matrix of this field theory is given by a q-deformation of the AdS_5 x S^5…

High Energy Physics - Theory · Physics 2015-06-19 Gleb Arutyunov , Marius de Leeuw , Stijn J. van Tongeren

String theory on $AdS_3 \times S^3 \times T^4$ has 20 moduli. We investigate how the perturbative closed string spectrum changes as we move around this moduli space in both the RR and NSNS flux backgrounds. We find that, at weak string…

High Energy Physics - Theory · Physics 2018-05-23 Olof Ohlsson Sax , Bogdan Stefanski

The non-compact CFT of a class of NS-supported pp-wave backgrounds is solved exactly. The associated tree-level covariant string scattering amplitudes are calculated. The S-matrix elements are well-defined, dual but not analytic as a…

High Energy Physics - Theory · Physics 2010-04-05 Giuseppe D'Appollonio , Elias Kiritsis

Factorization of scattering is the hallmark of integrable 1+1 dimensional quantum field theories. For factorization of scattering to be possible the set of masses and momenta must be conserved in any two-to-two scattering process. We use…

High Energy Physics - Theory · Physics 2017-11-29 Linus Wulff

Expanding Nambu-Goto action near infinitely long string vacuum one can compute scattering amplitudes of 2d massless fields representing transverse string coordinates. As was shown in arXiv:1203.1054, the resulting S-matrix is integrable, in…

High Energy Physics - Theory · Physics 2025-04-23 Fiona K. Seibold , Arkady A. Tseytlin

In this dissertation, we discuss how our understanding of the large-N spectrum of AdS/CFT has been deepened by integrability-based approaches. We begin with a comprehensive review of the integrability of the gauge theory spin-chain and that…

High Energy Physics - Theory · Physics 2008-04-07 Keisuke Okamura

The spectrum of superstrings on ${\rm AdS}_3 \times {\rm S}^3 \times \mathbb{M}_4$ with pure NS-NS flux is analysed for the background where the radius of the AdS space takes the minimal value $(k=1)$. Both for $\mathbb{M}_4={\rm S}^3…

High Energy Physics - Theory · Physics 2018-06-13 Matthias R. Gaberdiel , Rajesh Gopakumar

We study the boundary integrability problem of the massless sector of $AdS_3 \times S^3 \times T^4 $ string theory. Exploiting the difference-form of the massless scattering theory, we find a very simple and exhaustive list of reflection…

High Energy Physics - Theory · Physics 2024-05-07 Daniele Bielli , Vaibhav Gautam , Vasileios Moustakis , Andrea Prinsloo , Alessandro Torrielli

Type II supergravity admits an AdS(3) x S(2) x S(2) x T(3) solution with fluxes depending on several free parameters. We determine the constraints on these parameters imposed by the requirement of (classical) integrability of the…

High Energy Physics - Theory · Physics 2017-05-15 Linus Wulff

We show the factorization of the three-particle world-sheet S-matrix of AdS_5 x S^5 superstring theory in the near-flat-space limit at one loop order. This is done by computing various scattering amplitudes from Feynman diagrams in the…

High Energy Physics - Theory · Physics 2008-11-26 Valentina Giangreco Marotta Puletti , Thomas Klose , Olof Ohlsson Sax

The study of finite J effects for the light-cone AdS superstring by means of the Thermodynamic Bethe Ansatz requires an understanding of a companion 2d theory which we call the mirror model. It is obtained from the original string model by…

High Energy Physics - Theory · Physics 2009-06-10 Gleb Arutyunov , Sergey Frolov

We consider open spinning string solutions on an AdS_4 x S^2-brane (D5-brane) in the bulk AdS_5 x S^5 background. By taking account of the breaking of SO(6)_R to SO(3)_H x SO(3)_V due to the presence of the AdS-brane, the open rotating…

High Energy Physics - Theory · Physics 2009-11-11 Keisuke Okamura , Yastoshi Takayama , Kentaroh Yoshida

We continue our study of the worldsheet theory of superstrings on $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathbb{T}^4$ in the tensionless limit arXiv:1911.00378. We consider the theory on higher genus surfaces. We give evidence that the…

High Energy Physics - Theory · Physics 2020-02-28 Lorenz Eberhardt

With the aim of investigating the existence of an integrable elliptic deformation of strings on $\mathsf{AdS}_3 \times \mathsf{S}^3 \times \mathsf{T}^4$, we compute the tree-level worldsheet S-matrix of the elliptically-deformed bosonic…

High Energy Physics - Theory · Physics 2025-10-29 Ben Hoare , Ana L. Retore , Fiona K. Seibold

In this paper we study in detail the deformations introduced in [1] of the integrable structures of the AdS$_{2,3}$ integrable models. We do this by embedding the corresponding scattering matrices into the most general solutions of the…

High Energy Physics - Theory · Physics 2022-05-06 Marius de Leeuw , Anton Pribytok , Ana L. Retore , Paul Ryan

Building on arXiv:1804.01998 we investigate the integrable structure of the Wess-Zumino-Witten (WZW) model describing closed strings on $AdS_3\times S^3\times T^4$. Using the recently-proposed integrable S matrix we show analytically that…

High Energy Physics - Theory · Physics 2019-02-08 Andrea Dei , Alessandro Sfondrini

The S-matrix on the world-sheet theory of the string in AdS5 x S5 has previously been shown to admit a deformation where the symmetry algebra is replaced by the associated quantum group. The case where q is real has been identified as a…

High Energy Physics - Theory · Physics 2015-06-22 Timothy J. Hollowood , J. Luis Miramontes , David M. Schmidtt

Scattering amplitudes in $d+2$ dimensions can be expressed in terms of a conformal basis, for which the S-matrix behaves as a CFT correlation function on the celestial $d$-sphere. We explain how compact expressions for the full tree-level…

High Energy Physics - Theory · Physics 2020-01-08 Tim Adamo , Lionel Mason , Atul Sharma

We derive the non-perturbative worldsheet S matrix for fundamental excitations of Type IIB superstring theory on AdS_3 x S^3 x T^4 with Ramond-Ramond flux. To this end, we study the off-shell symmetry algebra of the theory and its…

High Energy Physics - Theory · Physics 2015-06-19 Riccardo Borsato , Olof Ohlsson Sax , Alessandro Sfondrini , Bogdan Stefanski

We investigate type IIB strings on $\mathrm{AdS}_3\times \mathrm{S}^3\times \mathrm{S}^3\times\mathrm{S}^1$ with mixed Ramond-Ramond (R-R) and Neveu-Schwarz-Neveu-Schwarz (NS-NS) flux. By suitably gauge-fixing the closed string…

High Energy Physics - Theory · Physics 2015-06-02 Riccardo Borsato , Olof Ohlsson Sax , Alessandro Sfondrini , Bogdan Stefański