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The partition function for the random walk of an electrostatic field produced by several static parallel infinite charged planes in which the charge distribution could be either $\pm\sigma$ is obtained. We find the electrostatic energy of…

Statistical Mechanics · Physics 2016-08-09 Gabriel Gonzalez

We develop some basic properties of the open string on the symmetric product which is supposed to describe the open string field theory in discrete lightcone quantization (DLCQ). After preparing the consistency conditions of the twisted…

High Energy Physics - Theory · Physics 2016-12-21 Hiroyuki Fuji , Yutaka Matsuo

We consider Dirichlet p-branes in type II string theory on a space which has been toroidally compactified in d dimensions. We give an explicit construction of the field theory description of this system by putting a countably infinite…

High Energy Physics - Theory · Physics 2008-11-26 Washington Taylor

In this paper, we discuss a class of spectral partition problems with a measure constraint, for partitions of a given bounded connected open set. We establish the existence of an optimal open partition, showing that the corresponding…

Analysis of PDEs · Mathematics 2023-06-22 Pêdra D. S. Andrade , Ederson Moreira dos Santos , Makson S. Santos , Hugo Tavares

We use the compatibility of D-brane action with linear off-shell T-duality and linear on-shell S-duality as guiding principles to find all world volume couplings of one massless closed and three massless open strings at order $\alpha'^2$ in…

High Energy Physics - Theory · Physics 2017-04-19 Komeil Babaei Velni , Ali Jalali

We study total and partial supersymmetry breaking by freely acting orbifolds, or equivalently by Scherk-Schwarz compactifications, in type I string theory. In particular, we describe a four-dimensional chiral compactification with…

High Energy Physics - Theory · Physics 2010-11-19 I. Antoniadis , G. D'Appollonio , E. Dudas , A. Sagnotti

In this pedagogical mini course the basics of the derivation of the noncommutative structures appearing in string theory are reviewed. First we discuss the well established appearance of the noncommutative Moyal-Weyl star-product in the…

High Energy Physics - Theory · Physics 2016-01-20 Ralph Blumenhagen

We study the condensation of closed string tachyons as a time-dependent process. In particular, we study tachyons whose wave functions are either space-filling or localized in a compact space, and whose masses are small in string units; our…

High Energy Physics - Theory · Physics 2009-10-08 Daniel Z. Freedman , Matthew Headrick , Albion Lawrence

We consider open spinning string solutions on an AdS_4 x S^2-brane (D5-brane) in the bulk AdS_5 x S^5 background. By taking account of the breaking of SO(6)_R to SO(3)_H x SO(3)_V due to the presence of the AdS-brane, the open rotating…

High Energy Physics - Theory · Physics 2009-11-11 Keisuke Okamura , Yastoshi Takayama , Kentaroh Yoshida

We continue our study of symmetries of a class of little string theories of A-type, which are engineered by $N$ parallel M5-branes probing a flat transverse space. Extending the analysis of the companion paper, we discuss the part of the…

High Energy Physics - Theory · Physics 2019-11-19 Brice Bastian , Stefan Hohenegger

The partition function of the membrane is investigated. In particular, the case relevant to perturbative string theory of a membrane with topology $S^1 \times \Sigma$ is examined. The coupling between the string world sheet Euler character…

High Energy Physics - Theory · Physics 2008-11-26 David S. Berman , Malcolm J. Perry

In an earlier work it was shown that the IR singularities arising in the nonplanar one loop two point function of a noncommutative ${\cal N}=2$ gauge theory can be reproduced exactly from the massless closed string exchanges. The…

High Energy Physics - Theory · Physics 2009-11-11 Swarnendu Sarkar

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

We derive the exact vortex partition function in 2d $\mathcal{N}$ = (2,2) gauge theory on the Omega-background, applying the localization scheme in the Higgs phase. We show that the partition function at a finite Omega-deformation parameter…

High Energy Physics - Theory · Physics 2015-12-29 Toshiaki Fujimori , Taro Kimura , Muneto Nitta , Keisuke Ohashi

Type IIA string theory compactified on an elliptic CY3-fold gives rise to N=2 U(1) gauge theory with an adjoint hypermultiplet. We study the refined open and closed topological string partition functions of this geometry using the refined…

High Energy Physics - Theory · Physics 2010-11-03 Amer Iqbal , Can Kozcaz , Tanweer Sohail

We propose a new method to describe a recoiling D-brane that is elastically scattered by closed strings in the non-relativistic region. We utilize the low-energy effective field theory on the worldvolume of the D-brane, and the velocity of…

High Energy Physics - Theory · Physics 2010-04-05 Shin Nakamura

The issue of space time gauge invariance for the bosonic string has been earlier addressed using the loop variable formalism. In this paper the question of obtaining a gauge invariant action for the open bosonic string is discussed. The…

High Energy Physics - Theory · Physics 2008-11-26 B. Sathiapalan

The role of integrable systems in string theory is discussed. We remind old examples of the correspondence between stringy partition functions or effective actions and integrable equations, based on effective application of the matrix model…

High Energy Physics - Theory · Physics 2007-05-23 A. Marshakov

Fluxbrane-like backgrounds obtained from flat space by a sequence of T-dualities and shifts of polar coordinates (beta deformations) provide an interesting class of exactly solvable string theories. We compute the one-loop partition…

High Energy Physics - Theory · Physics 2009-11-11 Marcus Spradlin , Tadashi Takayanagi , Anastasia Volovich

We continue the development of the topological membrane approach to open and unoriented string theories. We study orbifolds of topologically massive gauge theory defined on the geometry $[0,1]\times\Sigma$, where $\Sigma$ is a generic…

High Energy Physics - Theory · Physics 2009-09-11 P. Castelo Ferreira , I. I. Kogan , R. J. Szabo