String Theory: exact solutions, marginal deformations and hyperbolic spaces

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.

PhD thesis, 168 pages

References in corpus (73)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Supergravity description of field theories on curved manifolds and a no go theorem
• Black Strings and p-Branes are Unstable
• N=2 Extremal Black Holes
• Covariant theory of asymptotic symmetries, conservation laws and central charges
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The Spectrum
• Exact Three Dimensional Black Holes in String Theory
• Black Holes and Superconformal Mechanics
• Superstring Theory on AdS_2 x S^2 as a Coset Supermanifold
• Exact Black String Solutions in Three Dimensions
• On structure constants and fusion rules in the $SL(2,\BC)/SU(2)$ WZNW model
• Black Holes and Solitons in String Theory
• Little String Theory in a Double Scaling Limit
• Black Holes and Calogero Models
• Holography for Non-Critical Superstrings
• Uniqueness and non-uniqueness of static black holes in higher dimensions
• p-brane Solitons in Maximal Supergravities
• A New Class of Exact Solutions in String Theory
• Low energy effective string cosmology
• Uniqueness and non-uniqueness of static vacuum black holes in higher dimensions
• Axial Vector Duality as a Gauge Symmetry and Topology Change in String Theory
• AdS_5 x S^5 Untwisted
• Marginal Deformations of WZNW and Coset Models from O(d,d) Transformation
• Superstrings on NS5 backgrounds, deformed AdS3 and holography
• An Equivalence Between Momentum and Charge in String Theory
• Exact solutions of closed string theory
• Conformal sigma models corresponding to gauged Wess-Zumino-Witten theories
• Electric/Magnetic Deformations of S^3 and AdS_3, and Geometric Cosets
• String Theory in Magnetic Monopole Backgrounds
• Godel metric as a squashed anti-de Sitter geometry
• A New Handle on de Sitter Compactifications
• Effective action of gauged WZW model and exact string solutions
• Dilaton, winding modes and cosmological solutions
• BPS Branes in Supergravity
• AdS_3 x S^3 (Un)twisted and Squashed, and an O(2,2;Z) Multiplet of Dyonic Strings
• Cosmological solutions with dilaton and maximally symmetric space in string theory
• Spacetime Energy Decreases under World-sheet RG Flow
• Stability of AdS_p x M_q Compactifications Without Supersymmetry
• Current-Current Deformations of Conformal Field Theories, and WZW Models
• Goedel's Universe in a Supertube Shroud
• Quantization of heterotic strings in a Goedel/Anti de Sitter spacetime and chronology protection
• The partition function of the supersymmetric two-dimensional black hole and little string theory
• Some Exact Solutions of String Theory in Four and Five Dimensions
• A truly marginal deformation of SL(2,R) in a null direction
• Weyl Group Invariance and p-brane Multiplets
• String theory on three dimensional black holes
• Non-Compact WZW Conformal Field Theories
• Poisson-Lie T-Duality beyond the classical level and the renormalization group
• Duality-invariant class of two-dimensional field theories
• String-Dominated Cosmology
• Infrared behavior of Closed Superstrings in Strong Magnetic and Gravitational Fields
• Exact four dimensional string solutions and Toda-like sigma models from `null-gauged' WZNW theories
• Conformally Exact Results for SL(2,R)\times SO(1,1)^{d-2}/SO(1,1) Coset Models
• Type 0 Strings in a 2-d Black Hole
• Non-Abelian Stokes Theorem and Quark Confinement in SU(N) Yang-Mills Gauge Theory
• The spectrum of strings on BTZ black holes and spectral flow in the SL(2,R) WZW model
• Heterotic Coset Models and (0,2) String Vacua
• Asymmetric Cosets
• Heterotic Coset Models
• Heterotic strings on homogeneous spaces
• On Quantum T-duality in sigma models
• Conformal Sigma Models for a Class of $T^{p,q}$ Spaces
• Perturbative Quantum (In)equivalence of Dual $\sigma$ Models in $2$ dimensions
• CFT Description of String Theory Compactified on Non-compact Manifolds with G_2 Holonomy
• Superstring Theory on AdS_3 x G/H and Boundary N=3 Superconformal Symmetry
• Exact Solutions of Four Dimensional Black Holes in String Theory
• Supercoset CFT's for String Theories on Non-compact Special Holonomy Manifolds
• Exact String Theory Instantons by Dimensional Reduction
• Five-Brane Configurations, Conformal Field Theories and the Strong-Coupling Problem
• AdS2xS2 as an exact heterotic string background
• Coset models and D-branes in group manifolds
• Renormalization-group flows and charge transmutation in string theory

Cited by in corpus (13)

• Yangian symmetry in deformed WZNW models on squashed spheres
• Classical Integrability of the Squashed Three-sphere, Warped AdS3 and Schroedinger Spacetime via T-Duality
• Warped anti-de Sitter spaces from brane intersections in type II string theory
• AdS${}_2$ Type-IIA Solutions and Scale Separation
• Supersymmetric Gödel and warped black holes in string theory
• Marginal deformations of WZW models and the classical Yang-Baxter equation
• Compact hyperbolic extra dimensions: a M-theory solution and its implications for the LHC
• Non-Relativistic Holography -- A Group-Theoretical Perspective
• Integrable Superstrings on the Squashed Three-sphere
• Towards Kaluza-Klein Dark Matter on Nilmanifolds
• Schrödinger Deformations of AdS_3 x S^3
• $O(d,d)$ transformations preserve classical integrability
• Nonlocal charges from marginal deformations of 2D CFTs: Holographic $T\bar{T}$, $T\bar{J}$ and Yang-Baxter deformations