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Related papers: A dynamic su(1|1)^2 S-matrix for AdS3/CFT2

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Beisert and Koroteev have recently found a bulk S-matrix corresponding to a q-deformation of the centrally-extended su(2|2) algebra of AdS/CFT. We formulate the associated Zamolodchikov-Faddeev algebra, using which we derive factorizable…

High Energy Physics - Theory · Physics 2009-12-04 Rajan Murgan , Rafael I. Nepomechie

In 1968, Atkinson proved the existence of functions that satisfy all S-matrix axioms in four spacetime dimensions. His proof is constructive and to our knowledge it is the only result of this type. Remarkably, the methods to construct such…

High Energy Physics - Theory · Physics 2021-08-18 Piotr Tourkine , Alexander Zhiboedov

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

We use direct Kaluza-Klein reduction to calculate the spectrum of spin-2 modes around a warped product of AdS_4 and a certain squashed and stretched 7-sphere. The modes turn out to be polynomials in the four complex variables parameterizing…

High Energy Physics - Theory · Physics 2015-05-13 Igor R. Klebanov , Silviu S. Pufu , Fabio D. Rocha

We discuss the flat space limit of AdS using the momentum space representation of CFT correlators. The flat space limit involves sending the AdS radius and the dimensions of operators dual to massive fields to infinity while also scaling…

High Energy Physics - Theory · Physics 2024-09-11 Raffaele Marotta , Kostas Skenderis , Mritunjay Verma

We discuss, in terms of the AdS_3-CFT_2 correspondence, a one-parameter family of (asymptotically AdS_3) conical geometries which are generated by point masses and interpolate between AdS_3 and BTZ spacetimes. We show that these correspond…

High Energy Physics - Theory · Physics 2007-05-23 Justin R. David , Gautam Mandal , Sachindeo Vaidya , Spenta R. Wadia

We study the semiclassical spectrum of bosonic string theory on AdS_3 x S^1 in the limit of large AdS angular momentum. At leading semiclassical order, this is a subsector of the IIB superstring on AdS_5 x S^5. The theory includes strings…

High Energy Physics - Theory · Physics 2008-12-19 Nick Dorey

It was proposed in [(https://doi.org/10.1103/PhysRevLett.114.145301){Chen et al., Phys. Rev. Lett. $\mathbf{114}$, 145301 (2015)}] that spin-2 chains display an extended critical phase with enhanced SU$(3)$ symmetry. This hypothesis is…

Strongly Correlated Electrons · Physics 2022-02-25 Chengshu Li , Victor Luiz Quito , Eduardo Miranda , Rodrigo Pereira , Ian Affleck , Pedro L. S. Lopes

We obtain the all-loop worldsheet S matrix for fundamental excitations on AdS_3 x S^3 x T^4 by studying the off-shell symmetry algebra of the superspace action in lightcone gauge. The massless modes, unaccounted for in earlier works, are…

High Energy Physics - Theory · Physics 2014-10-01 Riccardo Borsato , Olof Ohlsson Sax , Alessandro Sfondrini , Bogdan Stefanski

We discuss the scattering matrix of two-dimensional integrable QFTs whose fields obey non-trivial exchange relations. We show that crossing equations for such models have to be modified, and propose their consistent modification. This…

High Energy Physics - Theory · Physics 2025-06-05 Sergey Frolov , Davide Polvara , Alessandro Sfondrini

Subwavelength atomic arrays are a leading platform for engineering light-matter interactions, enabling near-perfect single-photon mirrors and robust quantum memories based on long-lived dark spin waves. However, a comprehensive theory of…

Quantum Physics · Physics 2025-09-23 Yidan Wang , Oriol Rubies-Bigorda , Valentin Walther , Susanne F. Yelin

We investigate the scattering matrix in mass-deformed N>=4 Chern-Simons models including as special cases the BLG and ABJM theories of multiple M2 branes. Curiously the structure of this scattering matrix in three spacetime dimensions is…

High Energy Physics - Theory · Physics 2009-06-19 Abhishek Agarwal , Niklas Beisert , Tristan McLoughlin

We find a new quantum affine symmetry of the S-matrix of the one-dimensional Hubbard chain. We show that this symmetry originates from the quantum affine superalgebra U_q(gl(2|2)), and in the rational limit exactly reproduces the secret…

High Energy Physics - Theory · Physics 2014-01-10 Marius de Leeuw , Vidas Regelskis , Alessandro Torrielli

We show that suitably regulated multi-trace primary states in large N CFTs behave like `in' and `out' scattering states in the flat-space limit of AdS. Their transition matrix elements approach the exact scattering amplitudes for the bulk…

High Energy Physics - Theory · Physics 2015-03-19 A. Liam Fitzpatrick , Jared Kaplan

It is a long-standing conjecture that any CFT with a large central charge and a large gap $\Delta_{\text{gap}}$ in the spectrum of higher-spin single-trace operators must be dual to a local effective field theory in AdS. We prove a sharp…

High Energy Physics - Theory · Physics 2021-12-08 Simon Caron-Huot , Dalimil Mazac , Leonardo Rastelli , David Simmons-Duffin

We study massive $2 \to 2$ scattering of identical scalar particles in spacetime dimensions 3 to 11 using non-perturbative S-matrix bootstrap techniques. Treating $d$ as a continuous parameter, we compute two-sided numerical bounds on…

High Energy Physics - Theory · Physics 2026-01-01 Mehmet Asim Gumus , Simon Metayer , Piotr Tourkine

A noteworthy feature of the S-matrix which has been proposed for AdS4/CFT3 is that the scattering of an A-particle ("soliton") with a B-particle ("antisoliton") is reflectionless. We argue, following Zamolodchikov, that the absence of…

High Energy Physics - Theory · Physics 2015-05-14 Changrim Ahn , Patrick Dorey , Rafael I. Nepomechie

We analyze a bulk effective field theory in AdS containing a U(1)-charged massive spin-2 field coupled to a gauge field, by performing the required holographic renormalization, and computing the one and two-point functions. We then compute…

High Energy Physics - Theory · Physics 2026-02-04 Vijay Nenmeli , Arvind Shekar , Mritunjay Verma

We consider (warped) AdS string backgrounds which allow for a GKP spinning string/null cusp solution. Integrability implies that the worldsheet S-matrix should factorize, which in turn constrains the form of the warp factor as a function of…

High Energy Physics - Theory · Physics 2019-05-22 Linus Wulff

In this work we use the q-oscillator formalism to construct the atypical (short) supersymmetric representations of the centrally extended Uq (su(2|2)) algebra. We then determine the S-matrix describing the scattering of arbitrary bound…

Mathematical Physics · Physics 2012-04-20 Marius de Leeuw , Takuya Matsumoto , Vidas Regelskis
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