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We derive the TBA system of equations from the S-matrix describing integrable massive perturbation of the coset $G_l \times G_m / G_{l+m}$ by the field $(1,1,adj)$ for all the infinite series of the simple Lie algebras $G=A,B,C,D$. In the…

High Energy Physics - Theory · Physics 2009-11-10 A. Babichenko

The scattering amplitudes of gauge bosons in heterotic and open superstring theories are related by the single-valued projection which yields heterotic amplitudes by selecting a subset of multiple zeta value coefficients in the $\alpha'$…

High Energy Physics - Theory · Physics 2018-04-04 Wei Fan , A. Fotopoulos , S. Stieberger , T. R. Taylor

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

String on $AdS_3\times S^3\times T^4$ backgrounds are known to be classically integrable in the presence of a mixture of Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz fluxes. It is expected that this results in the existence of a…

High Energy Physics - Theory · Physics 2024-03-27 Nicola Baglioni , Davide Polvara , Andrea Pone , Alessandro Sfondrini

We extend the results found for Matrix String Theory to Heterotic Matrix String Theory, i.e. to a 2d O(N) SYM theory with chiral (anomaly free) matter and N=(8,0) supersymmetry. We write down the instanton equations for this theory and…

High Energy Physics - Theory · Physics 2015-06-26 G. Bonelli , L. Bonora , F. Nesti , A. Tomasiello

We consider lambda and anisotropic deformations of the SU(2) principal chiral model and show how they can be quantized in the Hamiltonian formalism on a lattice as a suitable spin chain. The spin chain is related to the higher spin XXZ…

High Energy Physics - Theory · Physics 2018-09-26 Calan Appadu , Timothy J. Hollowood , Dafydd Price , Daniel C. Thompson

We compute perturbative worldsheet S-matrix of beta-deformed AdS/CFT in the strong and weak `t Hooft coupling limit to compare with exact S-matrix. For the purpose we take near BMN limit of TsT-transformed AdS_5 x S^5 with the twisted…

High Energy Physics - Theory · Physics 2015-06-12 Changrim Ahn , Minkyoo Kim , Bum-Hoon Lee

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 use the recently proposed generalised on-shell representation for scattering amplitudes and a consistency test to explore the space of tree-level consistent couplings in four-dimensional Minkowski spacetime. The extension of the…

High Energy Physics - Theory · Physics 2013-05-30 Paolo Benincasa , Eduardo Conde

In this text we outline the motivation for developping a quantum $S$-matrix approach for the classical gravitational two-body scattering. As an application we briefly present the derivation of black-hole metrics in various dimensions.

General Relativity and Quantum Cosmology · Physics 2021-04-21 Pierre Vanhove

We reconsider the problem of discretising the worldsheet for the gauge-fixed Green-Schwarz superstring on a null cusp background, and present a setup which fully preserves its global $U(1)\times SU(4)$ symmetry. We discuss divergences by…

High Energy Physics - Lattice · Physics 2022-05-04 Gabriel Bliard , Ilaria Costa , Valentina Forini , Agostino Patella

We propose a new method for constructing the consistent space of scattering amplitudes by parameterizing the imaginary parts of partial waves and utilizing dispersion relations, crossing symmetry, and full unitarity. Using this framework,…

High Energy Physics - Theory · Physics 2026-05-21 Claudia de Rham , Andrew J. Tolley , Zhuo-Hui Wang , Shuang-Yong Zhou

We initiate the S-matrix bootstrap analysis of theories with non-invertible symmetries in (1+1) dimensions. Our previous work showed that crossing symmetry of S-matrices in such theories is modified, with modification characterized by the…

High Energy Physics - Theory · Physics 2024-11-04 Christian Copetti , Lucia Cordova , Shota Komatsu

We propose that perturbative quantum field theory and string theory can be consistently modified in the infrared to eliminate, in a radiatively stable manner, tadpole instabilities that arise after supersymmetry breaking. This is achieved…

High Energy Physics - Theory · Physics 2007-05-23 Allan Adams , John McGreevy , Eva Silverstein

The main objective of this work is to isolate Effective Field Theory scattering amplitudes in the space of non-perturbative two-to-two amplitudes, using the S-matrix Bootstrap. We do so by introducing the notion of Effective Field Theory…

High Energy Physics - Theory · Physics 2023-01-18 Joan Elias Miro , Andrea Guerrieri , Mehmet Asim Gumus

This PhD-thesis reviews matrix string theory and recent developments therein. Emphasis is put on symmetries, interactions and scattering processes in the matrix model. We start with an introduction to matrix string theory and a review of…

High Energy Physics - Theory · Physics 2007-05-23 Feike Hacquebord

Tree-level scattering amplitudes in massless theories not only exhibit a simplicity entirely unexpected from Feynman diagrams, but also an underlying structure remarkably reminiscent of worldsheet theory correlators. These features can be…

High Energy Physics - Theory · Physics 2016-10-17 Yvonne Geyer

We present an in-depth study of the universal correlations of scattering-matrix entries required in the framework of non-stationary many-body scattering where the incoming states are localized wavepackets. Contrary to the stationary case…

Statistical Mechanics · Physics 2021-05-19 Andreas Bereczuk , Barbara Dietz , Jiongning Che , Jack Kuipers , Juan-Diego Urbina , Klaus Richter

In the s-wave approximation the 4D Einstein gravity with scalar fields can be reduced to an effective 2D dilaton gravity coupled nonminimally to the matter fields. We study the leading order (tree level) vertices. The 4-particle matrix…

General Relativity and Quantum Cosmology · Physics 2009-11-07 P. Fischer , D. Grumiller , W. Kummer , D. V. Vassilevich

We study the worldsheet S-matrix of a string attached to a D-brane in AdS$_5\times$S$^5$. The D-brane is either a giant graviton or a dual giant graviton. In the gauge theory, the operators we consider belong to the $su(2|3)$ sector of the…

High Energy Physics - Theory · Physics 2017-03-01 Robert de Mello Koch , Hendrik J. R. van Zyl
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