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We explore a particular approach to study D-brane boundary states in Berkovits' pure spinor formalism of superstring theories. In this approach one constructs the boundary states in the relevant conformal field theory by relaxing the pure…

High Energy Physics - Theory · Physics 2009-11-11 Partha Mukhopadhyay

In this paper the notion of a superconformal structure on a supermanifold is introduced in an effort to study the superparticle sigma-model. There are, in particular, two main aspects of the sigma-model which are investigated. The first is…

Mathematical Physics · Physics 2015-07-29 Kowshik Bettadapura

We investigate the boundary bootstrap programme for finding exact reflection matrices of integrable boundary quantum field theories with N=1 boundary supersymmetry. The bulk S-matrix and the reflection matrix are assumed to take the form…

High Energy Physics - Theory · Physics 2010-04-05 G. Zs. Toth

Crossing symmetry provides a powerful tool to access the non-perturbative dynamics of conformal and superconformal field theories. Here we develop the mathematical formalism that allows to construct the crossing equations for arbitrary…

High Energy Physics - Theory · Physics 2020-05-29 Ilija Burić , Volker Schomerus , Evgeny Sobko

We consider the one-point functions of bulk and boundary fields in the scaling Lee-Yang model for various combinations of bulk and boundary perturbations. The one-point functions of the bulk fields are analysed using the truncated conformal…

High Energy Physics - Theory · Physics 2009-10-31 P. Dorey , M. Pillin , R. Tateo , G. M. T. Watts

The structure of integrable field theories in the presence of defects is discussed in terms of boundary functions under the Lagrangian formalism. Explicit examples of bosonic and fermionic theories are considered. In particular, the…

High Energy Physics - Theory · Physics 2008-11-26 J. F. Gomes , L. H. Ymai , A. H. Zimerman

This is an introduction to two-dimensional conformal field theory and its applications in string theory. Modern concepts of conformal field theory are explained, and it is outlined how they are used in recent studies of D-branes in the…

High Energy Physics - Theory · Physics 2017-08-23 C. Schweigert , J. Fuchs , J. Walcher

Boundary conformal field theory (BCFT) is simply the study of conformal field theory (CFT) in domains with a boundary. It gains its significance because, in some ways, it is mathematically simpler: the algebraic and geometric structures of…

High Energy Physics - Theory · Physics 2008-02-20 John Cardy

We study the boundary S-matrix for the reflection of bound states of the two-dimensional sine-Gordon integrable field theory in the presence of a boundary.

High Energy Physics - Theory · Physics 2010-01-07 Subir Ghoshal

We derive boundary state of superstring in the open string channel. It describes the superconformal field theory of open string emission and absorption by D-brane. We define the boundary state by conformal mappings from upper half plane…

High Energy Physics - Theory · Physics 2011-09-16 Yosuke Imamura , Hiroshi Isono , Yutaka Matsuo

We construct various boundary states in the coset conformal field theory G/H. The G/H theory admits the twisted boundary condition if the G theory has an outer automorphism of the horizontal subalgebra that induces an automorphism of the H…

High Energy Physics - Theory · Physics 2009-11-07 Hiroshi Ishikawa

The correlation functions of a two-dimensional rational conformal field theory, for an arbitrary number of bulk and boundary fields and arbitrary world sheets can be expressed in terms of Wilson graphs in appropriate three-manifolds. We…

High Energy Physics - Theory · Physics 2007-05-23 C. Schweigert , J. Fuchs

We discussed subspaces of the N=1 supersymmetric sine-Gordon model with Dirichlet boundaries through light-cone lattice regularization. In this paper, we showed, unlike the periodic boundary case, both of Neveu-Schwarz (NS) and Ramond (R)…

High Energy Physics - Theory · Physics 2014-06-20 Chihiro Matsui

We obtain the higher spin tractor equations of motion conjectured by Gover et al. from a BRST approach and use those methods to prove that they describe massive, partially massless and massless higher spins in conformally flat backgrounds.…

High Energy Physics - Theory · Physics 2015-05-28 Maxim Grigoriev , Andrew Waldron

Nonlinear field equations for the supersymmetric higher-spin gauge theory describing totally symmetric bosonic and fermionic massless fields along with hook-type bosonic fields of all spins in any space-time dimension are presented. One of…

High Energy Physics - Theory · Physics 2025-07-14 M. A. Vasiliev

We report on non-perturbative bounds for structure constants on N=4 SYM. Such bounds are obtained by applying the conformal bootstrap recently extended to superconformal theories. We compare our results with interpolating functions suitably…

High Energy Physics - Theory · Physics 2015-06-17 Luis F. Alday , Agnese Bissi

The boundary supersymmetric sinh-Gordon model is an integrable quantum field theory in 1+1 dimensions with bulk N=1 supersymmetry, whose bulk and boundary S matrices are not diagonal. We present an exact solution of this model. In…

High Energy Physics - Theory · Physics 2009-10-31 Changrim Ahn , Rafael I. Nepomechie

Quantum integrable models that possess $N=2$ supersymmetry are investigated on the half-space. Conformal perturbation theory is used to identify some $N=2$ supersymmetric boundary integrable models, and the effective boundary…

High Energy Physics - Theory · Physics 2008-11-26 N. P. Warner

We introduce a finite-dimensional algebra that controls the possible boundary conditions of a conformal field theory. For theories that are obtained by modding out a Z_2 symmetry (corresponding to a so-called D_odd-type, or half-integer…

High Energy Physics - Theory · Physics 2009-10-30 J. Fuchs , C. Schweigert

The sine-Gordon model with Neumann boundary condition is investigated. Using the bootstrap principle the spectrum of boundary bound states is established. Somewhat surprisingly it is found that Coleman-Thun diagrams and bound state creation…

High Energy Physics - Theory · Physics 2014-11-18 Z. Bajnok , L. Palla , G. Takacs