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Conformal blocks form a system of vector bundles over the moduli space of complex curves with marked points. We discuss various aspects of these bundles. In particular, we present conjectures about the dimensions of sub-bundles. They imply…

Quantum Algebra · Mathematics 2007-05-23 J. Fuchs , C. Schweigert

Spectrum of elementary string states in type II string theory compactified on a torus contains short multiplets which are invariant under only one quarter of the space-time supersymmetry generators. $U$-duality transformation converts these…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

In these lectures we review the properties of a boosted and rotated boundary state and of a boundary state with an abelian gauge field deriving from it the Dirac-Born-Infeld action and a newly constructed class of classical solutions. We…

High Energy Physics - Theory · Physics 2007-05-23 Paolo Di Vecchia , Antonella Liccardo

We investigate the possibility that stringy nonperturbative effects appear as holes in the world-sheet. We focus on the case of Dirichlet string theory, which we argue should be formulated differently than in previous work, and we find that…

High Energy Physics - Theory · Physics 2009-10-09 Joseph Polchinski

The boundary conditions of a non-trivial string background are classified. To this end we need traces on various spaces of conformal blocks, for which generalizations of the Verlinde formula are presented.

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

Following our previous paper (hep-th/9909027), we generalize a supersymmetric boundary state so that arbitrary configuration of the gauge field coupled to the boundary of the worldsheet is incorpolated. This generalized boundary state is…

High Energy Physics - Theory · Physics 2009-10-31 Koji Hashimoto

We construct the open string boundary states corresponding to various time-dependent deformations of the D-brane and explore several ways in which they may be used to study stringy soliton collective coordinate quantum dynamics. Among other…

High Energy Physics - Theory · Physics 2012-08-27 Curtis G. Callan, , Igor R. Klebanov

We consider quantization of open string theories in linear dilaton and constant antisymmetric tensor backgrounds and discuss the noncommutativity of space-time coordinates arising in such theories, including their relationship with…

High Energy Physics - Theory · Physics 2014-11-18 Sandip Bhattacharyya , Alok Kumar , Swapna Mahapatra

The mean curvature flow describes the parabolic deformation of embedded branes in Riemannian geometry driven by their extrinsic mean curvature vector, which is typically associated to surface tension forces. It is the gradient flow of the…

High Energy Physics - Theory · Physics 2009-11-13 I. Bakas , C. Sourdis

We report a holographic study of a two-dimensional dilaton gravity theory with the Dirichlet boundary condition for the cases of non-vanishing and vanishing cosmological constants. Our result shows that the boundary theory of the…

High Energy Physics - Theory · Physics 2020-01-08 Su-Kuan Chu , Chen-Te Ma , Chih-Hung Wu

Nonperturbative effects in string theory are usually associated to D-branes. In many cases it can be explicitly shown that D-brane instantons control the large-order behavior of string perturbation theory, leading to the well-known (2g)!…

High Energy Physics - Theory · Physics 2013-02-22 Inês Aniceto , Ricardo Schiappa , Marcel Vonk

In this article we consider open strings with mixed boundary conditions (a combination of Neumann and Dirichlet conditions at each end). We discuss how their end points show a $D_p$-brane with NS-NS charge, i.e. a bound state of a D-brane…

High Energy Physics - Theory · Physics 2009-10-07 H. Arfaei , M. M. Sheikh-Jabbari

Highly supercritical strings (c much greater than 15) with a time-like linear dilaton provide a large class of solutions to string theory, in which closed string tachyon condensation is under control (and follows the worldsheet…

High Energy Physics - Theory · Physics 2008-11-26 Ofer Aharony , Eva Silverstein

This paper is devoted to prove the existence of positive solutions of a second order differential equation with a nonhomogeneous Dirichlet conditions given by a parameter dependence integral. The studied problem is a nonlocal perturbation…

Classical Analysis and ODEs · Mathematics 2021-04-15 Alberto Cabada , Javier Iglesias

We derive a class of solutions to the string sigma-model equations for the closed bosonic string. The tachyon field is taken to form a constant condensate and the beta-function equations at one-loop level are solved for the evolution of the…

High Energy Physics - Theory · Physics 2009-09-25 Alan Kostelecky , Malcolm Perry

We extend the lightcone worldsheet lattice approach to string theory, proposed in 1977 by Giles and me, to allow for coincident D-branes. We find a convenient lattice representation of Dirichlet boundary conditions, which the open string…

High Energy Physics - Theory · Physics 2009-11-05 Charles B. Thorn

We present an exact solution of open bosonic string field theory which can be used to describe any time-independent open string background. The solution generalizes an earlier construction of Kiermaier, Okawa, and Soler, and assumes the…

High Energy Physics - Theory · Physics 2015-06-19 Theodore Erler , Carlo Maccaferri

We study the role of closed string backgrounds in boundary string field theory. Background independence requires the introduction of dual boundary fields, which are reminiscent of the doubled field formalism. We find a correspondence…

High Energy Physics - Theory · Physics 2014-11-20 M. Baumgartl

We compute the boundary state associated with a moving D$p$-brane in the presence of the open string tachyon field as a background field. The effect of the tachyon condensation on the boundary state will be discussed. It leads to a boundary…

High Energy Physics - Theory · Physics 2020-08-21 Zahra Rezaei , Davoud Kamani

We study superstrings with orientifold projections and with generalized open string boundary conditions (D-branes). We find two types of consistency condition, one related to the algebra of Chan-Paton factors and the other to cancellation…

High Energy Physics - Theory · Physics 2009-10-09 Eric G. Gimon , Joseph Polchinski