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The massive phase of two-layer integrable systems is studied by means of RSOS restrictions of affine Toda theories. A general classification of all possible integrable perturbations of coupled minimal models is pursued by an analysis of the…

High Energy Physics - Theory · Physics 2009-10-30 A. LeClair , A. Ludwig , G. Mussardo

We give a gauge invariant formulation of $N=2$ supersymmetric abelian Toda field equations in \n2 superspace. Superconformal invariance is studied. The conserved currents are shown to be associated with Drinfeld-Sokolov type gauges. The…

High Energy Physics - Theory · Physics 2008-11-26 F. Delduc , M. Magro

We review some recent results concerning integrable quantum field theories in 1+1 space-time dimensions which contain unstable particles in their spectrum. Recalling first the main features of analytic scattering theories associated to…

High Energy Physics - Theory · Physics 2007-05-23 O. A. Castro-Alvaredo , A. Fring

We derive the exact, factorized, purely elastic scattering matrices for the $a_{2n-1}^{(2)}$ family of nonsimply-laced affine Toda theories. The derivation takes into account the distortion of the classical mass spectrum by radiative…

High Energy Physics - Theory · Physics 2009-10-22 G. W. Delius , M. T. Grisaru , D. Zanon

Topological conformal field theories based on superconformal current algebras are constructed. The models thus obtained are the supersymmetric version of the $G/G$ coset theories. Their topological conformal algebra is generated by…

High Energy Physics - Theory · Physics 2011-08-12 J. M. Isidro , A. V. Ramallo

In this paper we consider the possibility of application of the quantum inverse scattering method for studying the superconformal field theory and it's integrable perturbations. The classical limit of the considered constructions is based…

High Energy Physics - Theory · Physics 2021-09-28 Petr P. Kulish , Anton M. Zeitlin

We briefly review results on two-dimensional supersymmetric quantum field theories that exhibit factorizable particle scattering. Our particular focus is on a series of $N\!=\!1$ supersymmetric theories, for which exact $S$-matrices have…

High Energy Physics - Theory · Physics 2007-05-23 M. Moriconi , K. Schoutens

We study mass deformations of certain three dimensional $\mathcal{N}=4$ Superconformal Field Theories (SCFTs) that have come to be called $T^\rho[G]$ theories. These are associated to tame defects of the six dimensional $(0,2)$ SCFT…

High Energy Physics - Theory · Physics 2023-10-11 Aswin Balasubramanian , Jacques Distler

We compute exact solutions of two--matrix models, i.e. detailed genus by genus expressions for the correlation functions of these theories, calculated without any approximation. We distinguish between two types of models, the unconstrained…

High Energy Physics - Theory · Physics 2009-10-28 L. Bonora , C. P. Constantinidis , C. S. Xiong

Computing a perturbative S-matrix through Feynman series in quantum field theory, the regularization used does not affect the final result. We propose a new approach to construction of the perturbative S-matrices, so that they will depend…

High Energy Physics - Theory · Physics 2007-05-23 Marijan Ribaric , Luka Sustersic

We complete the process of classifying all supersymmetric theories with quantum modified moduli. We present all the supersymmetric gauge theories based on a simple orthogonal or exceptional group that exhibit a quantum modified moduli…

High Energy Physics - Theory · Physics 2009-10-31 Benjamin Grinstein , Detlef R. Nolte

We construct L-theory with complex coefficients from the geometry of 1|2-dimensional perturbative mechanics. Methods of perturbative quantization lead to wrong-way maps that we identify with those coming from the MSO-orientation of L-theory…

Algebraic Topology · Mathematics 2016-01-27 Daniel Berwick-Evans

We present the construction of exactly solvable superconformal field theories describing Type II string models compactified on compact G_2 manifolds. These models are defined by anti-holomorphic quotients of the form (CY*S^1)/Z_2, where we…

High Energy Physics - Theory · Physics 2010-02-03 Ralph Blumenhagen , Volker Braun

Superstring field theory expresses the perturbative S-matrix of superstring theory as a sum of Feynman diagrams each of which is manifestly free from ultraviolet divergences. The interaction vertices fall off exponentially for large…

High Energy Physics - Theory · Physics 2018-05-04 Roji Pius , Ashoke Sen

We consider the Seiberg-Witten Toda chains arising in the context of exact solutions to N=2 SUSY Yang-Mills and their relation to the properties of N=1 SUSY gauge theories. In particular, we discuss their "perturbative" and "solitonic"…

High Energy Physics - Theory · Physics 2007-05-23 A. Marshakov

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

We consider classical and quantum integrable sigma models and their relations with the solutions of renormalization group equations. We say that an integrable sigma model possesses the "nice" duality property if the dual quantum field…

High Energy Physics - Theory · Physics 2019-02-11 Vladimir Fateev

The bootstrap programme for finding exact S-matrices of integrable quantum field theories with N=1 supersymmetry is investigated. New solutions are found which have the same fusing data as bosonic theories related to the classical affine…

High Energy Physics - Theory · Physics 2009-10-30 Timothy J. Hollowood , Evangelos Mavrikis

Some formulae for the perturbations of the matter fields are summarized within the framework of the second-order gauge-invariant cosmological perturbation theory in a four dimensional homogeneous isotropic universe, which is developed in…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Kouji Nakamura

Perturbation of logarithmic conformal field theories is investigated using Zamolodchikov's method. We derive conditions for the perturbing operator, such that the perturbed model be integrable. We also consider an example where integrable…

High Energy Physics - Theory · Physics 2008-11-26 M. A. Rajabpour , S. Rouhani
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