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We show that two-dimensional sigma models are equivalent to certain perturbed conformal field theories. When the fields in the sigma model take values in a space G/H for a group G and a maximal subgroup H, the corresponding conformal field…

High Energy Physics - Theory · Physics 2009-10-31 Paul Fendley

We show how topological $G_k/G_k$ models can be embedded into the topological matter models that are obtained by perturbing the twisted $N=2$ supersymmetric, hermitian symmetric, coset models. In particular, this leads to an embedding of…

High Energy Physics - Theory · Physics 2009-10-22 D. Nemeschansky , N. P. Warner

We obtain lattice models whose continuum limits correspond to $N=2$ superconformal coset models. This is done by taking the well known vertex model whose continuum limit is the $G \times G/G$ conformal field theory, and twisting the…

High Energy Physics - Theory · Physics 2009-10-22 Z. Maassarani , D. Nemeschansky , N. P. Warner

We approach the study of non--integrable models of two--dimensional quantum field theory as perturbations of the integrable ones. By exploiting the knowledge of the exact $S$-matrix and Form Factors of the integrable field theories we…

High Energy Physics - Theory · Physics 2008-11-26 G. Delfino , G. Mussardo , P. Simonetti

The integrable structure of the two dimensional superconformal field theory is considered. The classical counterpart of our constructions is based on the $\hat{osp}(1|2)$ super-KdV hierarchy. The quantum version of the monodromy matrix…

High Energy Physics - Theory · Physics 2009-02-23 Petr P. Kulish , Anton M. Zeitlin

In this work we pursue the singular-vector analysis of the integrable perturbations of conformal theories that was initiated in hep-th/9603088. Here we consider the detailed study of the N=1 superconformal theory and show that all…

High Energy Physics - Theory · Physics 2009-10-30 Pierre Mathieu , Gerard Watts

We study the quantum conserved charges and S-matrices of N=2 supersymmetric sine-Gordon theory in the framework of perturbation theory formulated in N=2 superspace. The quantum affine algebras ${\widehat {sl_{q}(2)}}$ and super topological…

High Energy Physics - Theory · Physics 2008-11-26 Ken-ichiro Kobayashi , Tsuneo Uematsu

We study the algebraic formulation of exact factorizable S-matrices for integrable two-dimensional field theories. We show that different formulations of the S-matrices for the Potts field theory are essentially equivalent, in the sense…

High Energy Physics - Theory · Physics 2009-11-07 Paul Fendley , Nicholas Read

We study $N$=2 supersymmetric integrable theories with spontaneously-broken \Zn\ symmetry. They have exact soliton masses given by the affine $SU(n)$ Toda masses and fractional fermion numbers given by multiples of $1/n$. The basic such…

High Energy Physics - Theory · Physics 2009-10-22 P. Fendley , K. Intriligator

We study states of large charge density in integrable conformal coset models. For the O(2) coset, we consider two different S-matrices, one corresponding to a Thirring mass perturbation and the other to the continuation to O(2+epsilon). The…

High Energy Physics - Theory · Physics 2016-11-23 Nelia Mann , Joseph Polchinski

That the exact quantum S-matrix of $\text{T}\bar{\text{T}}$-deformed field theories is known has interesting consequences for their perturbative renormalisation. Recent investigations into the interplay between renormalisation and…

High Energy Physics - Theory · Physics 2022-06-08 Subhroneel Chakrabarti , Arkajyoti Manna , Madhusudhan Raman

We study the structure of superselection sectors of an arbitrary perturbation of a conformal field theory. We describe how a restriction of the q-deformed $\hat{sl(2)}$ affine Lie algebra symmetry of the sine-Gordon theory can be used to…

High Energy Physics - Theory · Physics 2015-06-26 G. Felder , A. LeClair

We construct a perturbative S-matrix for interacting massive scalar fields in global de Sitter space. Our S-matrix is formulated in terms of asymptotic particle states in the far past and future, taking appropriate care for light fields…

High Energy Physics - Theory · Physics 2013-07-11 Donald Marolf , Ian A. Morrison , Mark Srednicki

We review recent developments in the construction of heterotic and type II string field theories and their various applications. These include systematic procedures for determining the shifts in the vacuum expectation values of fields under…

High Energy Physics - Theory · Physics 2017-11-22 Corinne de Lacroix , Harold Erbin , Sitender Pratap Kashyap , Ashoke Sen , Mritunjay Verma

We display a new integrable perturbation for both N=1 and N=2 superconformal minimal models. These perturbations break supersymmetry explicitly. Their existence was expected on the basis of the classification of integrable perturbations of…

High Energy Physics - Theory · Physics 2009-10-22 D. Depireux , P. Mathieu

We investigate the S-matrix of N=2 supersymmetric sine-Gordon theory based on the N=2 supersymmetry and the quantum group structure. The topological charges play an important role to derive physical contents.

High Energy Physics - Theory · Physics 2009-10-22 Ken-ichiro Kobayashi , Tsuneo Uematsu

Recently, several kinds of integrable deformations of the string world sheet theory in the gauge/gravity correspondence have been constructed. One class of these, the k deformations associated to the more general q deformations but with…

High Energy Physics - Theory · Physics 2016-11-23 Timothy J. Hollowood , J. Luis Miramontes , David M. Schmidtt

We show that the classical S-matrix calculated from the recently proposed superstring field theories give the correct perturbative S-matrix. In the proof we exploit the fact that the vertices are obtained by a field redefinition in the…

High Energy Physics - Theory · Physics 2016-01-27 Sebastian Konopka

Using U_q(a_n^(1))- and U_q(a_2n^(2))-invariant R-matrices we construct exact S-matrices in two-dimensional space-time. These are conjectured to describe the scattering of solitons in affine Toda field theories. In order to find the…

High Energy Physics - Theory · Physics 2009-10-30 G. M. Gandenberger

We study the perturbative S-matrix of closed strings in the two-dimensional type 0B string theory from the worldsheet perspective, by directly integrating correlation functions of ${\cal N}=1$ Liouville theory. The latter is computed…

High Energy Physics - Theory · Physics 2023-06-14 Bruno Balthazar , Victor A. Rodriguez , Xi Yin
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