English
Related papers

Related papers: Integrable S-matrices, massive and massless modes …

200 papers

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

To illustrate the unitarity of the massive gauge field theory described in the foregoing papers, we calculate the scattering amplitudes up to the fourth order of perturbation by the optical theorem and the Landau-Cutkosky rule. In the…

High Energy Physics - Theory · Physics 2007-05-23 Jun-Chen Su

We apply the thermodynamic Bethe Ansatz to investigate the high energy behaviour of a class of scattering matrices which have recently been proposed to describe the Homogeneous sine-Gordon models related to simply laced Lie algebras. A…

High Energy Physics - Theory · Physics 2014-11-18 O. A. Castro-Alvaredo , A. Fring , C. Korff , J. L. Miramontes

It is pointed out that the apparent presence of the fusing rule for purely elastic scattering theories in theories with dynamical Yangian invariance implies beautiful and hitherto unseen structure in the finite-dimensional representation…

High Energy Physics - Theory · Physics 2007-05-23 N. J. MacKay

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

The analogues of giant magnon configurations are studied on the string world sheet in the lambda background. This is a discrete deformation of the AdS(5)xS(5) background that preserves the integrability of the world sheet theory. Giant…

High Energy Physics - Theory · Physics 2017-09-13 Calan Appadu , Timothy J. Hollowood , J. Luis Miramontes , Dafydd Price , David M. Schmidtt

We present a compact formula for the complete tree-level S-matrix of pure Yang-Mills and gravity theories in arbitrary spacetime dimension. The new formula for the scattering of n particles is given by an integral over the position of n…

High Energy Physics - Theory · Physics 2014-10-29 Freddy Cachazo , Song He , Ellis Ye Yuan

We study the spectrum, the massless S-matrices and the ground-state energy of the flows between successive minimal models of conformal field theory, and within the sine-Gordon model with imaginary coefficient of the cosine term (related to…

High Energy Physics - Theory · Physics 2015-06-26 P. Fendley , H. Saleur , Al. B. Zamolodchikov

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

A class of marginal deformations of four-dimensional N=4 super Yang-Mills theory has been found to correspond to a set of smooth, multiparameter deformations of the S^5 target subspace in the holographic dual on AdS_5 x S^5. We present here…

High Energy Physics - Theory · Physics 2009-11-11 Tristan McLoughlin , Ian Swanson

We calculate the two-loop correction to the dispersion relation for worldsheet modes of the BMN string in AdS(n) x S(n) x T(10-2n) for n=2,3,5. For the massive modes the result agrees with the exact dispersion relation derived from symmetry…

High Energy Physics - Theory · Physics 2016-01-20 Per Sundin , Linus Wulff

We discuss the relation between the recently derived bound state S-matrices for the AdS5 x S5 superstring and Yangian symmetry. We will study the relation between this Yangian symmetry and the Bethe ansatz. In particular we can use it to…

High Energy Physics - Theory · Physics 2009-08-03 M de Leeuw

An exponential representation of the S-matrix provides a natural framework for understanding the semi-classical limit of scattering amplitudes. While sharing some similarities with the eikonal formalism it differs from it in details.…

High Energy Physics - Theory · Physics 2021-12-08 Poul H. Damgaard , Ludovic Plante , Pierre Vanhove

The world-sheet S-matrix of the string in AdS5 x S5 has been shown to admit a q-deformation that relates it to the S-matrix of a generalization of the sine-Gordon theory, which arises as the Pohlmeyer reduction of the superstring. Whilst…

High Energy Physics - Theory · Physics 2015-06-15 Ben Hoare , Timothy J. Hollowood , J. Luis Miramontes

This thesis is devoted to the study of geometric aspects of black holes and integrable structures in string theory. In the first part, symmetries of the horizon and its bulk extension will be investigated. We investigate the horizon…

High Energy Physics - Theory · Physics 2018-10-15 Andrea Fontanella

In this paper we discuss the scattering S-matrix of non-critical N=2 string at tree level. First we consider the \hat{c}<1 string defined by combining the N=2 time-like linear dilaton SCFT with the N=2 Liouville theory. We compute three…

High Energy Physics - Theory · Physics 2009-11-11 Tadashi Takayanagi

A series of sigma models with torsion are analysed which generate their mass dynamically but whose ultra-violet fixed points are non-trivial conformal field theories -- in fact SU(2) WZW models at level $k$. In contrast to the more familiar…

High Energy Physics - Theory · Physics 2009-10-28 Jonathan M. Evans , Timothy J. Hollowood

We first focus on the finite-gap formalism for type IIB strings in AdS_3 x S^1, which allows to encode the semiclassical spectrum of a very large family of string solutions in a Riemann surface, the spectral curve. Then, we show that, in…

High Energy Physics - Theory · Physics 2011-09-27 Manuel Losi

In the description of the AdS5/CFT4 duality by an integrable system the scattering matrix for bound states plays a crucial role: it was initially constructed for the evaluation of finite size corrections to the planar spectrum of energy…

High Energy Physics - Theory · Physics 2020-12-04 Marius de Leeuw , Burkhard Eden , Alessandro Sfondrini

We write the thermodynamic Bethe ansatz for the massive OSp(2|2) Gross Neveu and sigma models. We find evidence that the GN S matrix proposed by Bassi and Leclair [12] is the correct one. We determine features of the sigma model S matrix,…

High Energy Physics - Theory · Physics 2010-02-11 H. Saleur , B. Pozsgay