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Conditions for the gluing matrix defining consistent boundary conditions of two-dimensional nonlinear sigma-models are analyzed and reformulated. Transformation properties of the right-invariant fields under Poisson-Lie T-plurality are used…

High Energy Physics - Theory · Physics 2008-11-26 Cecilia Albertsson , Ladislav Hlavaty , Libor Snobl

From conformal field theory on the Riemann sphere, we implement its boundary version in a simply-connected domain using the Schottky double construction. We consider the statistical fields generated by background charge modification of the…

Mathematical Physics · Physics 2021-11-22 Nam-Gyu Kang , Nikolai Makarov

In string theory it is known that abelian isometries in the sigma model lead to target space duality. We generalize this duality to backgrounds with non--abelian isometries. The procedure we follow consists of gauging the isometries of the…

High Energy Physics - Theory · Physics 2009-10-22 Xenia C. de la Ossa , Fernando Quevedo

In this paper we study the Dirichlet problem for fully nonlinear second-order equations on a riemannian manifold. As in a previous paper we define equations via closed subsets of the 2-jet bundle. Basic existence and uniqueness theorems are…

Analysis of PDEs · Mathematics 2017-12-12 F. Reese Harvey , H. Blaine Lawson

World-sheet and spacetime supersymmetries that are manifest in some string backgrounds may not be so in their T-duals. Nevertheless, they always remain symmetries of the underlying conformal field theory. In previous work the mechanism by…

High Energy Physics - Theory · Physics 2009-10-28 Konstadinos Sfetsos

In this article we consider simultaneous T-dualization of type II superstring action in pure spinor formulation. Simultaneous T-dualization means that we make T-dualization at the same time along some subset of initial coordinates marked by…

High Energy Physics - Theory · Physics 2019-01-04 Bojan Nikolic , Branislav Sazdovic

We show that the one loop amplitudes of open and closed string theory in a constant background two-form tensor field are characterized by an effective string tension larger than the fundamental string tension, and by the appearance of…

High Energy Physics - Theory · Physics 2009-10-31 Shyamoli Chaudhuri , Eric G. Novak

This thesis investigates the quantum properties of T-duality invariant formalisms of String Theory. We introduce and review duality invariant formalisms of String Theory including the Doubled Formalism. We calculate the background field…

High Energy Physics - Theory · Physics 2010-12-21 Daniel C. Thompson

We revisit the propagation of classical scalar fields in a spacetime which is asymptotically anti-de Sitter. The lack of global hyperbolicity of the underlying background gives rise to an ambiguity in the dynamical evolution of solutions of…

General Relativity and Quantum Cosmology · Physics 2022-04-07 Christyan C. de Oliveira , Ricardo A. Mosna , João Paulo M. Pitelli

Topological defects are interfaces joining two conformal field theories, for which the energy momentum tensor is continuous across the interface. A class of the topological defects is provided by the interfaces separating two bulk systems…

High Energy Physics - Theory · Physics 2023-04-12 Shmuel Elitzur , Boaz Karni , Eliezer Rabinovici , Gor Sarkissian

We construct Witten-type string field theory vertices for a fermionic first order system with conformal weights (0,1) in the operator formulation using delta-function overlap conditions as well as the Neumann function method. The identity,…

High Energy Physics - Theory · Physics 2009-11-10 Alexander Kling , Sebastian Uhlmann

We study certain aspects of noncommutativity in field theory, strings and membranes. We analyse the dynamics of an open membrane whose boundary is attached to p-branes. Noncommutative features of the boundary string coordinates are revealed…

High Energy Physics - Theory · Physics 2008-12-31 Kuldeep Kumar

We study the $SU(2)_k/U(1)$-parafermion model perturbed by its first thermal operator. By formulating the theory in terms of a (perturbed) fermionic coset model we show that the model is equivalent to interacting WZW fields modulo free…

High Energy Physics - Theory · Physics 2009-10-30 D. C. Cabra , E. F. Moreno

We investigate field theory puzzles occuring in the interplay between supersymmetry and duality in the presense of rotational isometries (also known as non-triholomorphic in hyper-Kahler geometry). We show that T-duality is always…

High Energy Physics - Theory · Physics 2007-05-23 I. Bakas , K. Sfetsos

It was argued that there are two different descriptions of the effective Lagrangian of gauge fields on D-branes by non-commutative gauge theory and by ordinary gauge theory in the presence of a constant B field background. In the case of…

High Energy Physics - Theory · Physics 2009-10-31 Yuji Okawa , Seiji Terashima

A classical result in the study of Ginzburg-Landau equations is that, for Dirichlet or Neumann boundary conditions, if a sequence of functions has energy uniformly bounded on a logarithmic scale then we can find a subsequence whose…

Analysis of PDEs · Mathematics 2023-05-11 Stan Alama , Lia Bronsard , Andrew Colinet

We construct the complete set of boundary states of two-dimensional fermionic CFTs using that of the bosonic counterpart. We see that there are two groups of boundary conditions, which contributes to the open-string partition function by…

High Energy Physics - Theory · Physics 2021-11-24 Hiromi Ebisu , Masataka Watanabe

An attempt is made to apply the pure spinor formalism to the non-relativistic IIA D2-brane. The fermionic constraints corresponding to the rescaled fermionic coordinates are given. Two commuting spinor fields are introduced, each one…

High Energy Physics - Theory · Physics 2019-06-06 A. Herrera-Aguilar , J. E. Paschalis

For fermionic fields on a compact Riemannian manifold with boundary one has a choice between local and non-local (spectral) boundary conditions. The one-loop prefactor in the Hartle-Hawking amplitude in quantum cosmology can then be studied…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Peter D. D'Eath , Giampiero Esposito

A recent derivation of the interpolation between the free energy and conformal anomaly for free fields on spheres is generalised to hemispheres with Neumann (N) and Dirichlet (D) conditions at the rim for GJMS scalar fields. It is shown…

High Energy Physics - Theory · Physics 2017-10-27 J. S. Dowker