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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

It has been recently proposed that string theory in the background of a plane wave corresponds to a certain subsector of the N=4 supersymmetric Yang-Mills theory. This correspondence follows as a limit of the AdS/CFT duality. As a…

High Energy Physics - Theory · Physics 2009-11-07 David J. Gross , Andrei Mikhailov , Radu Roiban

Maximally supersymmetric gauge theories have experienced renewed interest due to the AdS/CFT correspondence and its conjectured S-duality. These gauge theories possess a large amount of symmetry and have quasi-integrable properties. We…

High Energy Physics - Theory · Physics 2007-05-23 Gordon Chalmers

Recent explorations of the AdS/CFT correspondence have unveiled integrable structures underlying both planar N = 4 super-Yang-Mills theory and type IIB string theory on AdS_5 x S^5. Integrability in the gauge theory emerges from the fact…

High Energy Physics - Theory · Physics 2008-11-26 Ian Swanson

By considering AdS_5 x S^5 string states with large angular momenta in S^5 one is able to provide non-trivial quantitative checks of the AdS/CFT duality. A string rotating in S^5 with two angular momenta J_1,J_2 is dual to an operator in…

High Energy Physics - Theory · Physics 2009-09-17 M. Kruczenski , A. V. Ryzhov , A. A. Tseytlin

We compute the nonplanar contribution to the universal anomalous dimension of the SU(4)-singlet twist-two operators in N=4 supersymmetric Yang-Mills theory at four loops through Lorentz spin 18. From this, we numerically evaluate the…

High Energy Physics - Theory · Physics 2021-02-17 B. A. Kniehl , V. N. Velizhanin

The Matrix String Theory, i.e. the two dimensional U(N) SYM with N=(8,8) supersymmetry, has classical BPS solutions that interpolate between an initial and a final string configuration via a bordered Riemann surface. The Matrix String…

High Energy Physics - Theory · Physics 2009-10-31 G. Bonelli , L. Bonora , F. Nesti

Understanding finite-size effects is one of the key open questions in solving planar AdS/CFT. In this paper we discuss these effects in the AdS_5xS^5 string theory at one-loop in the world-sheet coupling. First we provide a very general,…

High Energy Physics - Theory · Physics 2011-03-02 Nikolay Gromov , Sakura Schafer-Nameki , Pedro Vieira

Berenstein, Maldacena, and Nastase have proposed, as a limit of the strong form of the AdS/CFT correspondence, that string theory in a particular plane wave background is dual to a certain subset of operators in the N=4 super-Yang-Mills…

High Energy Physics - Theory · Physics 2009-11-07 David J. Gross , Andrei Mikhailov , Radu Roiban

For lambda phi^4 models, the introduction of a large field cutoff improves significantly the accuracy that can be reached with perturbative series but the calculation of the modified coefficients remains a challenging problem. We show that…

High Energy Physics - Theory · Physics 2007-05-23 L. Li , Y. Meurice

An S-matrix satisying the Yang-Baxter equation with symmetries relevant to the AdS_5xS^5 superstring has recently been determined up to an unknown scalar factor. Such scalar factors are typically fixed using crossing relations, however due…

High Energy Physics - Theory · Physics 2008-11-26 Romuald A. Janik

Guided by the generalized conformal symmetry, we investigate the extension of AdS-CFT correspondence to the matrix model of D-particles in the large N limit. We perform a complete harmonic analysis of the bosonic linearized fluctuations…

High Energy Physics - Theory · Physics 2009-10-31 Yasuhiro Sekino , Tamiaki Yoneya

We consider a non-supersymmetric example of the AdS/CFT duality which generalizes the supersymmetric exactly marginal deformation constructed in hep-th/0502086. The string theory background we use was found in hep-th/0503201 from the AdS_5…

High Energy Physics - Theory · Physics 2009-09-17 S. A. Frolov , R. Roiban , A. A. Tseytlin

We present a non-perturbative resummation of the asymptotic strong-coupling expansion for the dressing phase factor of the AdS_5xS^5 string S-matrix. The non-perturbative resummation provides a general form for the coefficients in the…

High Energy Physics - Theory · Physics 2008-11-26 Cesar Gomez , Rafael Hernandez

We construct a new class of differential operators that naturally act on AdS harmonic functions. These are weight shifting operators that change the spin and dimension of AdS representations. Together with CFT weight shifting operators, the…

High Energy Physics - Theory · Physics 2018-09-13 Miguel S. Costa , Tobias Hansen

Recently, it was demonstrated that one-loop energy shifts of spinning superstrings on AdS5xS5 agree with certain Bethe equations for quantum strings at small effective coupling. However, the string result required artificial regularization…

High Energy Physics - Theory · Physics 2010-04-06 N. Beisert , A. A. Tseytlin

An important ``observable'' of planar N=4 SYM theory is the scaling function f(lambda) that appears in the anomalous dimension of large spin twist 2 operators and also in the cusp anomaly of light-like Wilson loops. The non-trivial relation…

High Energy Physics - Theory · Physics 2008-11-26 M. Kruczenski , R. Roiban , A. Tirziu , A. A. Tseytlin

We introduce a set of consistency conditions on the S-matrix of theories of massless particles of arbitrary spin in four-dimensional Minkowski space-time. We find that in most cases the constraints, derived from the conditions, can only be…

High Energy Physics - Theory · Physics 2008-01-17 Paolo Benincasa , Freddy Cachazo

We investigate the preservation of unitarity in a Lorentz and CPT-violating QED model containing higher-order operators. In particular, we consider modifications in the fermion sector with dimension-five operators. The higher-order…

High Energy Physics - Theory · Physics 2023-07-26 Justo López-Sarrión , Carlos M. Reyes , César Riquelme

We propose that certain twists of the su(2|2) S-matrix elements describe the beta-deformation of N=4 supersymmetric Yang-Mills theory. We compute the perturbative four-loop anomalous dimension of the Konishi operator of the deformed gauge…

High Energy Physics - Theory · Physics 2014-11-21 Changrim Ahn , Zoltan Bajnok , Diego Bombardelli , Rafael I. Nepomechie