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We use string-net models to accomplish a direct, purely two-dimensional, approach to correlators of two-dimensional rational conformal field theories. We obtain concise geometric expressions for the objects describing bulk and boundary…

Quantum Algebra · Mathematics 2022-11-09 Jürgen Fuchs , Christoph Schweigert , Yang Yang

We derive exact relations to all orders in the $\alpha'$ expansion for the charges of a bound system of heterotic strings, solitonic 5-branes and, optionally, a Kaluza-Klein monopole. The expressions, which differ from those of the…

High Energy Physics - Theory · Physics 2019-10-23 Federico Faedo , Pedro F. Ramirez

We consider one of the simplest time-dependent backgrounds in M-theory, describing the shrinking away of the M-theory dimension with the other spatial dimensions static. As the M-theory dimension becomes small, the situation becomes…

High Energy Physics - Theory · Physics 2008-11-26 Gustavo Niz , Neil Turok

This paper is a self contained review of the Loop Variable approach to string theory. The Exact Renormalization Group is applied to a world sheet theory describing string propagation in a general background involving both massless and…

High Energy Physics - Theory · Physics 2015-12-09 B. Sathiapalan

We systematically include central charges into supersymmetric quantum mechanics formulated on curved Euclidean spaces, and explain how the background geometry manifests itself on states of the theory. In particular, we show in detail how,…

High Energy Physics - Theory · Physics 2007-05-23 Michael Faux , David Kagan , Donald Spector

In the framework of a recently proposed method for computing exactly string amplitudes regularized in the infra-red, I determine the one-loop correlators for auxiliary fields in the symmetric $Z_2\times Z_2$ orbifold model. The $D$-field…

High Energy Physics - Theory · Physics 2007-05-23 M. Petropoulos

A homogeneous anisotropic four dimensional spacetime with Lorentzian signature is constructed from an ungauged WZW model based on a non-semisimple Lie group. The associated non-linear $\sigma $-model describes string propagation in an…

High Energy Physics - Theory · Physics 2008-02-03 Oscar Jofre , Carmen Núñez

Using a Hamiltonian approach to gauged WZW models, we present a general method for computing the conformally exact metric and dilaton, to all orders in the $1/k$ expansion, for any bosonic, heterotic, or type-II superstring model based on a…

High Energy Physics - Theory · Physics 2013-11-13 I. Bars , K. Sfetsos

We study a $U(N)$-invariant vector+matrix chain with the color structure of a lattice gauge theory with quarks and interpret it as a theory of open andclosed strings with target space $\Z$. The string field theory is constructed as a…

High Energy Physics - Theory · Physics 2014-11-18 Ivan K. Kostov

We propose correspondences between 4d quantum field theories with N=2,1,0 (super)conformal invariance and Type IIB string theory on various orbifolds. We argue using the spacetime string theory, and check using the beta functions (exactly…

High Energy Physics - Theory · Physics 2009-10-07 S. Kachru , E. Silverstein

We derive and analyze the conditions for quantum conformal and Lorentz invariance of the duality symmetric interacting chiral boson sigma-models, which are conjectured to describe non-geometric string theory backgrounds. The one-loop Weyl…

High Energy Physics - Theory · Physics 2010-04-30 Spyros D. Avramis , Jean-Pierre Derendinger , Nikolaos Prezas

It is stated in the literature that D-branes in the WZW-model associated with the gluing condition J = - \bar{J} along the boundary correspond to branes filling out the whole group volume. We show instead that the end-points of open strings…

High Energy Physics - Theory · Physics 2009-12-30 A. Yu. Alekseev , V. Schomerus

Motivated by the recent interest in the different aspects of the string/field theory duality, we describe an approach for obtaining exact string solutions in general backgrounds, based on two types of string embedding, allowing for…

High Energy Physics - Theory · Physics 2007-05-23 P. Bozhilov

We consider the nonlinear algebras $W(sl(4),sl(3))$ and $W(sl(3|1),sl(3))$ and find their realizations in terms of currents spanning conformal linearizing algebras. The specific structure of these algebras, allows us to construct…

High Energy Physics - Theory · Physics 2009-10-28 S. Bellucci , S. Krivonos , A. Sorin

New exact string solutions in non-constant background fields are found and it is shown that some of them are compatible with the boundary conditions for the open string - D-brane system. Extension of the constraint algebra is proposed and…

High Energy Physics - Theory · Physics 2007-05-23 P. Bozhilov

Using a Hamiltonian approach, we construct the classical and quantum theory of open WZW strings on a strip. (These are the strings which end on WZW branes.) The development involves non-abelian generalized Dirichlet images in an essential…

High Energy Physics - Theory · Physics 2014-11-18 S. Giusto , M. B. Halpern

We present a global analysis of the geometries that arise in non-compact current algebra (or gauged WZW) coset models of strings and particles propagating in curved space-time. The simplest case is the 2d black hole. In higher dimensions…

High Energy Physics - Theory · Physics 2009-10-22 I. Bars , K. Sfetsos

We describe applications of (perturbed) conformal field theories to two-dimensional disordered systems. We present various methods of study~: (i) {\it A direct method} in which we compute the explicit disorder dependence of the correlation…

High Energy Physics - Theory · Physics 2007-05-23 Denis Bernard

The AdS/CFT correspondence is an exact duality between string theory in anti-de Sitter space and conformal field theories on its boundary. Inspired in this correspondence some relations between strings and non conformal field theories have…

High Energy Physics - Theory · Physics 2008-11-26 Henrique Boschi-Filho , Nelson R. F. Braga

Starting from a simple discrete model which exhibits a supersymmetric invariance we construct a local, interacting, two-dimensional Euclidean lattice theory which also admits an exact supersymmetry. This model is shown to correspond to the…

High Energy Physics - Lattice · Physics 2007-05-23 S. Catterall , S. Karamov