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We construct a new class of two-dimensional field theories with target spaces that are finite multiparameter deformations of the usual coset G/H-spaces. They arise naturally, when certain models, related by Poisson-Lie T-duality, develop a…

High Energy Physics - Theory · Physics 2009-10-31 Konstadinos Sfetsos

We investigate the fermionic Casimir effect for a Dirac field confined between two parallel plates with MIT bag boundary conditions in the presence of CPT-odd Lorentz-symmetry violation described by a constant axial background vector…

High Energy Physics - Theory · Physics 2026-04-13 A. Martín-Ruiz , M. B. Cruz , E. R. Bezerra de Mello

The Schroedinger functional formalism is given as a field theory in a finite volume with a Dirichlet boundary condition in temporal direction. When one tries to construct this formalism with the Ginsparg-Wilson fermion including the overlap…

High Energy Physics - Lattice · Physics 2009-11-10 Yusuke Taniguchi

Boundary interactions of closed-string with open-strings are examined intended to provide a constructive formulation of boundary string field theory. As an illustration, we consider the BPS $D$-brane of the type II superstring in a constant…

High Energy Physics - Theory · Physics 2007-05-23 Takashi Maeda , Toshio Nakatsu , Taku Oonishi

We study boundary conditions in N=4 super Yang-Mills theory that preserve one-half the supersymmetry. The obvious Dirichlet boundary conditions can be modified to allow some of the scalar fields to have a ``pole'' at the boundary. The…

High Energy Physics - Theory · Physics 2009-11-13 Davide Gaiotto , Edward Witten

We consider the role of boundary conditions in the $AdS_{d+1}/CFT_{d}$ correspondence for the scalar field theory. Also a careful analysis of some limiting cases is presented. We study three possible types of boundary conditions, Dirichlet,…

High Energy Physics - Theory · Physics 2009-10-31 Pablo Minces , Victor O. Rivelles

In this paper, we present a formulation of the classical theory of Fermionic (anticommuting) fields, which fits into the general framework proposed by K.Fredenhagen, M.Duetsch and R.Brunetti. It was inspired by the recent developments in…

Mathematical Physics · Physics 2011-11-15 Katarzyna Rejzner

We study the dynamics of an open membrane with a cylindrical topology, in the background of a constant three form, whose boundary is attached to p-branes. The boundary closed string is coupled to a two form potential to ensure gauge…

High Energy Physics - Theory · Physics 2009-11-07 Ashok Das , J. Maharana , A. Melikyan

The formal extension of the T-duality rules for open strings from Abelian to non-Abelian gauge field background leads in a well known manner to the notion of matrix valued D-brane position. The application of this concept to the non-Abelian…

High Energy Physics - Theory · Physics 2010-02-03 H. Dorn

Type-IIB supersymmetric theories have an SL(2,Z) invariance, known as U-duality, which controls the non-perturbative behavior of the theory. Under SL(2,Z) the supercharges are doublets, implying that the bosonic charges would be singlets or…

High Energy Physics - Theory · Physics 2016-08-25 Itzhak Bars

We present a variational study of employing the trigonometric basis functions satisfying periodic boundary condition for the accurate calculation of eigenvalues and eigenfunctions of quartic double-well oscillators. Contrary to usual…

Mathematical Physics · Physics 2013-08-06 P. Pedram , M. Mirzaei , S. S. Gousheh

We present a relativistic analysis of fermions in an external electric field by non-perturbatively solving the Dirac equation with a static gauge. Different from the magnetic field effect, the fermion wave function in an electric field…

Nuclear Theory · Physics 2026-05-08 Xuan Zhao , Yi Wang , Pengfei Zhuang

We study the bosonic sector of a decoupling limit of type IIA superstring theory, where a background Ramond-Ramond one-form is fined tuned to its critical value, such that it cancels the associated background D0-brane tension. The light…

High Energy Physics - Theory · Physics 2026-04-21 Joaquim Gomis , Ziqi Yan

We examine T-duality transformations for supersymmetric strings with target space geometry with compact abelian isometries. We consider the partition function of these models and we show that although T-duality is not a symmetry, due to an…

High Energy Physics - Theory · Physics 2009-10-30 Alexandros Kehagias

Generally, open string boundary conditions play a nontrivial role in string theory. For example, in the presence of an antisymmetric tensor background field, they will lead the spacetime coordinates noncommutative. In this paper, we mainly…

High Energy Physics - Theory · Physics 2009-03-12 Zhen-Bin Cao , Yi-Shi Duan

We study whether the solutions of a parabolic equation with diffusion given by the fractional Laplacian and a dominating gradient term satisfy Dirichlet boundary data in the classical sense or in the generalized sense of viscosity…

Analysis of PDEs · Mathematics 2018-05-21 Alexander Quaas , Andrei Rodríguez

A primitive problem of predicting the effective properties of composites is open boundary conditions. In this paper, Eshelby's transformation field method is developed to solve the open boundary problem of two-phase composites having…

Materials Science · Physics 2023-11-29 Guo-Qing Gu , En-Bo Wei

The consistency of quantum field theories defined on domains with external borders imposes very restrictive constraints on the type of boundary conditions that the fields can satisfy. We analyse the global geometrical and topological…

High Energy Physics - Theory · Physics 2009-11-11 M. Asorey , D. Garcia-Alvarez , J. M. Munoz-Castaneda

Non(anti)commutativity in an open free superstring and also one moving in a background anti-symmetric tensor field is investigated. In both cases, the non(anti)commutativity is shown to be a direct consequence of the non-trivial boundary…

High Energy Physics - Theory · Physics 2015-06-26 Biswajit Chakraborty , Sunandan Gangopadhyay , Arindam Ghosh Hazra , Frederik G. Scholtz

We investigate the combined effects of boundaries and topology on the vacuum expectation values (VEVs) of the charge and current densities for a massive 2D fermionic field confined on a conical ring threaded by a magnetic flux. Different…

High Energy Physics - Theory · Physics 2020-04-01 S. Bellucci , I. Brevik , A. A. Saharian , H. G. Sargsyan