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The classification of rational conformal field theories is reconsidered from the standpoint of boundary conditions. Solving Cardy's equation expressing the consistency condition on a cylinder is equivalent to finding integer valued…

High Energy Physics - Theory · Physics 2009-10-31 R. Behrend , P. Pearce , V. Petkova , J. -B. Zuber

We analyze the ground state structure of the supersymmetric sine-Gordon model via the lattice regularization. The nonlinear integral equations are derived for any values of the boundary parameters by the analytic continuation and showed…

High Energy Physics - Theory · Physics 2012-05-07 Chihiro Matsui

Given a D-brane background in string theory (or equivalently boundary conditions in a two-dimensional conformal field theory), classical solutions of open string field theory equations of motion are conjectured to describe new D-brane…

High Energy Physics - Theory · Physics 2021-01-20 Matěj Kudrna

We consider the structure of current and stress tensor two-point functions in conformal field theory with a boundary. The main result of this paper is a relation between a boundary central charge and the coefficient of a displacement…

High Energy Physics - Theory · Physics 2017-12-06 Christopher P. Herzog , Kuo-Wei Huang

We study conformal boundary conditions for the theory of a single real scalar to investigate whether the known Dirichlet and Neumann conditions are the only possibilities. For this free bulk theory there are strong restrictions on the…

High Energy Physics - Theory · Physics 2021-05-03 Connor Behan , Lorenzo Di Pietro , Edoardo Lauria , Balt C. van Rees

The spectrum of a one-dimensional pseudospin-one Hamiltonian with a three-component potential is studied for two configurations: (i) all the potential components are constants over the whole coordinate space and (ii) the profile of some…

Quantum Physics · Physics 2023-10-30 A. V. Zolotaryuk , Y. Zolotaryuk , V. P. Gusynin

In this paper expressions are given for the bulk and boundary structure constants of D-series Virasoro minimal models on the upper half plane. It is the continuation of an earlier work on the A-series. The solution for the boundary theory…

High Energy Physics - Theory · Physics 2009-10-31 Ingo Runkel

Through their respective sigma models, a bosonic string and a superstring can be coupled to (super)gravity fields. These are subsequently forced to satisfy their right classical equation of motions, as a consequence of quantization of the…

High Energy Physics - Theory · Physics 2023-04-26 Eugenia Boffo

We study breaking and restoration of supersymmetry in five-dimensional theories by determining the mass spectrum of fermions from their equations of motion. Boundary conditions can be obtained from either the action principle by extremizing…

High Energy Physics - Theory · Physics 2010-04-05 G. von Gersdorff , L. Pilo , M. Quiros , A. Riotto , V. Sanz

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

Superconformal field theory with $\mathcal{N}=2$ supersymmetry in four dimensional spacetime provides a prime playground to study strongly coupled phenomena in quantum field theory. Its rigid structure ensures valuable analytic control over…

High Energy Physics - Theory · Physics 2022-11-02 Mohammad Akhond , Guillermo Arias-Tamargo , Alessandro Mininno , Hao-Yu Sun , Zhengdi Sun , Yifan Wang , Fengjun Xu

We use the equations of motion in combination with crossing symmetry to constrain the properties of interacting fermionic boundary conformal field theories. This combination is an efficient way of determining operator product expansion…

High Energy Physics - Theory · Physics 2024-10-16 Christopher P. Herzog , Vladimir Schaub

We provide evidence for the existence of non-trivial unitary conformal boundary conditions for a three-dimensional free scalar field, which can be obtained via a coupling to the m'th unitary diagonal minimal model. For large m we can…

High Energy Physics - Theory · Physics 2022-03-24 Connor Behan , Lorenzo Di Pietro , Edoardo Lauria , Balt C. van Rees

In this thesis we review the fundamental framework of boundary string field theory (BSFT) and apply it to the tachyon condensation on non-BPS systems in the superstring theory. The boundary string field theory can be regarded as a natural…

High Energy Physics - Theory · Physics 2007-05-23 Tadaoki Uesugi

A study of (1,1) supersymmetric two-dimensional non-linear sigma models with boundary on special holonomy target spaces is presented. In particular, the consistency of the boundary conditions under the various symmetries is studied. Models…

High Energy Physics - Theory · Physics 2009-11-11 P. S. Howe , U. Lindstrom , V. Stojevic

We discuss D-branes from a conformal field theory point of view. In this approach, branes are described by boundary states providing sources for closed string modes, independently of classical notions. The boundary states must satisfy…

High Energy Physics - Theory · Physics 2016-09-06 A. Recknagel , V. Schomerus

We study the construction of D-brane boundary states in the pure spinor formalism for the quantisation of the superstring. This is achieved both via a direct analysis of the definition of D-brane boundary states in the pure spinor conformal…

High Energy Physics - Theory · Physics 2009-11-11 Ricardo Schiappa , Niclas Wyllard

In this work we address the reconstruction problem, investigating the construction of field theories from supersymmetric quantum mechanics. The procedure is reviewed, starting from reflectionless potentials that admit one and two bound…

High Energy Physics - Theory · Physics 2017-04-19 D. Bazeia , F. S. Bemfica

In the context of boundary conformal field theory, we derive a sum rule that relates two and three point functions of the displacement operator. For four dimensional conformal field theory with a three dimensional boundary, this sum rule in…

High Energy Physics - Theory · Physics 2022-03-28 Christopher P. Herzog , Vladimir Schaub

We derive a continuum field theory for the Majumdar-Ghosh model in the large-$S$ limit, where the field takes values in the manifold of the $SO(3)$ group. No topological term is induced in the action and the cases for integer spin and…

High Energy Physics - Theory · Physics 2009-10-22 Sumathi Rao , Diptiman Sen