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We establish features of so-called Yangian secret symmetries for AdS3 type IIB superstring backgrounds thus verifying the persistence of such symmetries to this new instance of the AdS/CFT correspondence. Specifically, we find two a priori…

High Energy Physics - Theory · Physics 2014-11-07 Antonio Pittelli , Alessandro Torrielli , Martin Wolf

We calculate the S-matrix in the gauge-fixed sigma-model on AdS_5 x S^5 to the leading order in perturbation theory, and analyze how supersymmetry is realized on the scattering states. A mild nonlocality of the supercharges implies that…

High Energy Physics - Theory · Physics 2010-10-27 Thomas Klose , Tristan McLoughlin , Radu Roiban , Konstantin Zarembo

Motivated by the recent advances in the understanding of integrability for $AdS_3$ backgrounds, we present a lightning review of this approach, with particular attention to the "tensionless" limits (with zero and one unit of NSNS flux), and…

High Energy Physics - Theory · Physics 2025-09-30 Fiona K. Seibold , Alessandro Sfondrini

In this letter we use the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence to establish a set of old conjectures about symmetries in quantum gravity. These are that no global symmetries are possible, that internal gauge…

High Energy Physics - Theory · Physics 2019-06-07 Daniel Harlow , Hirosi Ooguri

In this article we continue the classical analysis of the symmetry algebra underlying the integrability of the spectrum in the AdS_5/CFT_4 and in the Hubbard model. We extend the construction of the quasi-triangular Lie bialgebra gl(2|2) by…

High Energy Physics - Theory · Physics 2024-01-22 Niklas Beisert , Egor Im

The classical integrable structure of Z_4-graded supercoset sigma-models, arising in the AdS/CFT correspondence, is formulated within the R-matrix approach. The central object in this construction is the standard R-matrix of the Z_4-twisted…

High Energy Physics - Theory · Physics 2011-03-02 Benoit Vicedo

Using unitarity methods, we compute, for several massive two-dimensional models, the cut-constructible part of the one-loop 2->2 scattering S-matrices from the tree-level amplitudes. We apply our method to various integrable theories,…

High Energy Physics - Theory · Physics 2015-06-15 Lorenzo Bianchi , Valentina Forini , Ben Hoare

We consider the three-parameter integrable deformation of the $AdS_3\times S^3$ superstring background constructed in arXiv:1811.00453. Working on the string worldsheet in uniform lightcone gauge, we find the tree-level bosonic S matrix of…

High Energy Physics - Theory · Physics 2020-12-02 Marco Bocconcello , Isari Masuda , Fiona K. Seibold , Alessandro Sfondrini

In this note, we explore the correspondence between four-dimensional flat space S-matrix and two-dimensional CFT proposed by Pasterski et al. We demonstrate that the factorization singularities of an n-point cubic diagram reproduces the AdS…

High Energy Physics - Theory · Physics 2017-09-13 Carlos Cardona , Yu-tin Huang

Light-cone gauge-fixed sigma-models on $AdS_n\times S^n$ backgrounds play an important role in the integrability formulation of the AdS/CFT correspondence. The string spectrum of the sigma-model is gauge-independent, however the Hamiltonian…

High Energy Physics - Theory · Physics 2024-05-10 Riccardo Borsato , Sibylle Driezen , Ben Hoare , Ana L. Retore , Fiona K. Seibold

The large radius limit in the AdS/CFT correspondence is expected to provide a holographic derivation of flat-space scattering amplitudes. This suggests that questions of locality in the bulk should be addressed in terms of properties of the…

High Energy Physics - Theory · Physics 2009-10-31 Steven B. Giddings

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

We construct an ambitwistor string that describes Type II supergravity on AdS$_3\times$S$^3$ with pure NS flux. The background Einstein equations ensure that the model is anomaly free. The spectrum consists of supergravity fluctuations…

High Energy Physics - Theory · Physics 2020-07-15 Kai Roehrig , David Skinner

We present a new class of 2d integrable models obtained as perturbations of minimal CFT with W-symmetry by fundamental weight primaries. These models are generalisations of well known $(1,2)$-perturbed Virasoro minimal models. In the large…

High Energy Physics - Theory · Physics 2009-10-28 Igor Vaysburd

We investigate the pp-wave limit of the AdS_3\times S^3\times K3 compactification of Type IIB string theory from the point of view of the dual Sym_N(K3) CFT. It is proposed that a fundamental string in this pp-wave geometry is dual to the…

High Energy Physics - Theory · Physics 2009-11-07 Jaume Gomis , Lubos Motl , Andrew Strominger

Motivated by recent studies related to integrability of string motion in various backgrounds via analytical and numerical procedures, we discuss these procedures for a well known integrable string background $(AdS_5\times S^5)_{\eta}$. We…

High Energy Physics - Theory · Physics 2018-11-26 Aritra Banerjee , Arpan Bhattacharyya

The AdS3/CFT2 correspondence features massless non-relativistic modes on the string worldsheet in lightcone gauge. We study in detail these excitations and highlight how they naturally split between chiral (left-moving) and anti-chiral…

High Energy Physics - Theory · Physics 2023-03-29 Sergey Frolov , Alessandro Sfondrini

We study worldsheet theory of confining strings in two-dimensional massive adjoint QCD. Similarly to confining strings in higher dimensions this theory exhibits a non-trivial $S$-matrix surviving even in the strict planar limit. In the…

High Energy Physics - Theory · Physics 2018-08-01 Sergei Dubovsky

Supersymmetric AdS black hole solutions exist only when their angular momenta and charges satisfy a certain constraint that depends on the dimension. We show that these nonlinear relations on the conserved charges agree with a computation…

High Energy Physics - Theory · Physics 2024-05-29 Finn Larsen , Siyul Lee

We study the worldsheet scattering theory of the $\eta$ deformation of the AdS$_\mathsf{5} \times $S$^\mathsf{5}$ superstring corresponding to the purely fermionic Dynkin diagram. This theory is a Weyl-invariant integrable deformation of…

High Energy Physics - Theory · Physics 2021-03-26 Fiona K. Seibold , Stijn J. van Tongeren , Yannik Zimmermann