String Theory in Beta Deformed Spacetimes

Abstract

Fluxbrane-like backgrounds obtained from flat space by a sequence of T-dualities and shifts of polar coordinates (beta deformations) provide an interesting class of exactly solvable string theories. We compute the one-loop partition function for various such deformed spaces and study their spectrum of D-branes. For rational values of the B-field these models are equivalent to Z_N \times Z_N orbifolds with discrete torsion. We also obtain an interesting new class of time-dependent backgrounds which resemble localized closed string tachyon condensation.

26 pages, harvmac, v2: statements about tachyons corrected, v3: very minor changes

References in corpus (3)

• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Lax Pair for Strings in Lunin-Maldacena Background
• String spectrum of curved string backgrounds obtained by T-duality and shifts of polar angles

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• Holographic Evidence for Non-Supersymmetric Conformal Manifolds
• Marginal and non-commutative deformations via non-abelian T-duality
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• Probing Universality in the Gravity Duals of N=1 SYM by gamma-deformations
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• Yang-Baxter sigma models and Lax pairs arising from $\kappa$-Poincaré $r$-matrices
• Killing spinors from classical r-matrices
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• Form factors and the dilatation operator in $\mathcal{N}=4$ super Yang-Mills theory and its deformations