Heterotic strings on homogeneous spaces

Abstract

We construct heterotic string backgrounds corresponding to families of homogeneous spaces as exact conformal field theories. They contain left cosets of compact groups by their maximal tori supported by NS-NS 2-forms and gauge field fluxes. We give the general formalism and modular-invariant partition functions, then we consider some examples such as SU(2)/U(1) ~ S^2 (already described in a previous paper) and the SU(3)/U(1)^2 flag space. As an application we construct new supersymmetric string vacua with magnetic fluxes and a linear dilaton.

JHEP style; 47 pages, one figure

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• Dimensional Mutation and Spacelike Singularities
• Holographic Fluids with Vorticity and Analogue Gravity
• Supersymmetric Gödel and warped black holes in string theory
• Integrable properties of sigma-models with non-symmetric target spaces
• Marginal deformations of WZW models and the classical Yang-Baxter equation
• Yang-Baxter sigma models: Quantum aspects
• Strings in a 2-d Extremal Black Hole
• Phase structure of the twisted $SU(3)/U(1{)}^2$ flag sigma model on $\mathbb{R}\times S^1$
• Integrable Superstrings on the Squashed Three-sphere
• Double-Scaling Limit of Heterotic Bundles and Dynamical Deformation in CFT
• String Theory: exact solutions, marginal deformations and hyperbolic spaces
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• NS5-branes on an ellipsis and novel marginal deformations with parafermions
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• Stable Non-Supersymmetric Vacua in the Moduli Space of Non-Critical Superstrings
• Asymptotic Symmetries of Three-Dimensional Black Strings
• Homogeneous heterotic supergravity solutions with linear dilaton
• AdS2xS2 as an exact heterotic string background
• Minkowski spacetime and non-Ricci-flat compactification in heterotic supergravity
• Deformations of anti-de Sitter black holes
• Renormalization-group flows and charge transmutation in string theory
• Parafermions, Brane Distributions and FRW Hierarchies