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String theory: exact solutions, marginal deformations and hyperbolic spaces

✍ Scribed by D. Orlando

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
1021 KB
Volume
55
Category
Article
ISSN
0015-8208

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✦ Synopsis

Abstract

This thesis is almost entirely devoted to studying string theory backgrounds characterized by simple geometrical and integrability properties. The archetype of this type of system is given by Wess‐Zumino‐Witten models, describing string propagation in a group manifold or, equivalently, a class of conformal field theories with current algebras. We study the moduli space of such models by using truly marginal deformations. Particular emphasis is placed on asymmetric deformations that, together with the CFT description, enjoy a very nice spacetime interpretation in terms of the underlying Lie algebra. Then we take a slight detour so to deal with off‐shell systems. Using a renormalization‐group approach we describe the relaxation towards the symmetrical equilibrium situation. In he final chapter we consider backgrounds with Ramond‐Ramond field and in particular we analyze direct products of constant‐curvature spaces and find solutions with hyperbolic spaces.

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## Abstract The topological B–model with target the supertwistor space ℂP^3|4^ is known to describe perturbative amplitudes of 𝒩 = 4 Super Yang–Mills theory. We review the extension of this correspondence to the superconformal gauge theories that arise as marginal deformations of 𝒩 = 4 by consideri