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This paper concerns the motion of relativistic strings in the Schwarzschild space-time. As a general framework, we first analyze the basic equations for the motion of a p-dimensional extended object in a general enveloping space-time (N;…

Analysis of PDEs · Mathematics 2010-02-09 Chun-Lei He , De-Xing Kong

In this report a detailed derivation of the dynamical equations for an n dimensional heterotic string theory of the Horowitz type is carried out in the string frame and in the Einstein frame too. In particular, the dynamical equations of…

General Relativity and Quantum Cosmology · Physics 2014-12-19 A. A. Garcia Diaz , G. Gutierrez Cano

We show that in a relativistically covariant formulation of the two-body bound state problem, the bound state spectrum is in agreement, up to relativistic corrections, with the non-relativistic bound state spectrum. The solution is achieved…

Mathematical Physics · Physics 2020-03-03 L. P. Horwitz , R. I. Arshansky

We study the action of the full bosonic string for the domain being two-dimensional Minkowski space and the target a Riemannian manifold. Its critical points couple the wave map equation to a scalar and a two-form potential. Besides…

Differential Geometry · Mathematics 2017-03-24 Volker Branding

A coupled system of non-linear partial differential equations is presented which describes non-perturbatively the evolution of deformations of a relativistic membrane of arbitrary dimension, $D$, in an arbitrary background spacetime. These…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Riccardo Capovilla , Jemal Guven

The study of curved D-brane geometries in type II strings implies a general relation between local singularities $\cx W$ of Calabi-Yau manifolds and gravity free supersymmetric QFT's. The minimal supersymmetric case is described by F-theory…

High Energy Physics - Theory · Physics 2011-04-15 P. Mayr

We derive a solution of the gravitational equations which leads to a braneworld scenario in six dimensions using a global cosmic string solution in a low energy effective string theory framework. The final spacetime is composed by one…

High Energy Physics - Theory · Physics 2009-11-13 M. C. B. Abdalla , M. E. X. Guimaraes , J. M. Hoff da Silva

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 describe a new class of supersymmetric string compactifications to 4d Minkowski space. These solutions involve type II strings propagating on (orientifolds of) non Calabi-Yau spaces in the presence of background NS and RR fluxes. The…

High Energy Physics - Theory · Physics 2009-11-07 Shamit Kachru , Michael B. Schulz , Prasanta K. Tripathy , Sandip P. Trivedi

A general family of charge-current carrying cosmic string models is investigated. In the special case of circular configurations in arbitrary axially symmetric gravitational and electromagnetic backgrounds the dynamics is determined by…

High Energy Physics - Theory · Physics 2010-04-06 Arne L. Larsen

We consider a class of conformal models describing closed strings in axially symmetric stationary magnetic flux tube backgrounds. These models are closed string analogs of the Landau model of a particle in a magnetic field or the model of…

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

The recent developments in string theory suggest that the space-time coordinates should be generalized to non-commuting matrices. Postulating this suggestion as the fundamental geometrical principle, we formulate a candidate for covariant…

High Energy Physics - Theory · Physics 2009-10-30 Christiaan Hofman , Jae-Suk Park

In this paper, we prove the nonlinear stability in exponential time of Minkowki space-time with a translation space-like Killing field. In the presence of such a symmetry, the 3 + 1 vacuum Einstein equations reduce to the 2 + 1 Einstein…

Analysis of PDEs · Mathematics 2014-12-22 Cécile Huneau

We derive harmonic superspaces for N=2,3,4 SYM theory in four dimensions from superstring theory. The pure spinors in ten dimensions are dimensionally reduced and yield the harmonic coordinates. Two anticommuting BRST charges implement…

High Energy Physics - Theory · Physics 2009-11-10 P. A. Grassi , P. van Nieuwenhuizen

The formulation of a relativistic dynamical problem as a system of Hamilton equations by respecting the principles of Relativity is a delicate task, because in their classical form the Hamilton equations require the use of a time…

Mathematical Physics · Physics 2011-06-13 Frédéric Hélein

Starting with a Nambu-Goto action, a Dirac-like equation can be constructed by taking the square-root of the momentum constraint. The eigenvalues of the resulting Hamiltonian are real and correspond to masses of the excited string. In…

High Energy Physics - Theory · Physics 2018-02-16 Maciej Trzetrzelewski

We discuss the basic properties of the gonihedric string and the problem of its formulation in continuum. We propose a generalization of the Dirac equation and of the corresponding gamma matrices in order to describe the gonihedric string.…

High Energy Physics - Theory · Physics 2009-10-30 G. K. Savvidy , K. G. Savvidy

In this paper we discuss symmetry breaking in string theory. Spacetime symmetries are implemented as inner automorphisms of the underlying superconformal algebra. Conserved currents generate unbroken spacetime symmetries. As we deform the…

High Energy Physics - Theory · Physics 2017-08-23 Ioannis Giannakis

A worldvolume action for membrane is considered to study the target space local symmetries. We introduce a set of generators of canonical transformations to exhibit the target space symmetries such as the general coordinate transformation…

High Energy Physics - Theory · Physics 2009-10-31 Jnanadeva Maharana

The interest in string Hamiltonian system has recently been rekindled due to its application to target-space duality. In this article, we explore another direction it motivates. In Sec.\ 1, conformal symmetry and some algebraic structures…

High Energy Physics - Theory · Physics 2007-05-23 Chien-Hao Liu