Duality invariant class of exact string backgrounds

Abstract

We consider a class of $2+D$ - dimensional string backgrounds with a target space metric having a covariantly constant null Killing vector and flat `transverse' part. The corresponding sigma models are invariant under $D$ abelian isometries and are transformed by $O(D,D)$ duality into models belonging to the same class. The leading-order solutions of the conformal invariance equations (metric, antisymmetric tensor and dilaton), as well as the action of $O(D,D)$ duality transformations on them, are exact, i.e. are not modified by $\a'$-corrections. This makes a discussion of different space-time representations of the same string solution (related by $O(D,D|Z)$ duality subgroup) rather explicit. We show that the $O(D,D)$ duality may connect curved $2+D$-dimensional backgrounds with solutions having flat metric but, in general, non-trivial antisymmetric tensor and dilaton. We discuss several particular examples including the $2+D=4$ - dimensional background that was recently interpreted in terms of a WZW model.

11 pages, harvmac, CERN-TH.7069/93

References in corpus (19)

• Duality, Quotients, and Currents
• Celestial Mechanics, Conformal Structures, and Gravitational Waves
• Exact Three Dimensional Black Holes in String Theory
• Duality and Dilaton
• Generalized Duality in Curved String-Backgrounds
• Exact Duality Symmetries in CFT and String Theory
• An Equivalence Between Momentum and Charge in String Theory
• Marginal Deformations of WZNW and Coset Models from O(d,d) Transformation
• String vacuum backgrounds with covariantly constant null Killing vector and 2d quantum gravity
• Supersymmetric String Waves
• Target Space Duality as a Symmetry of String Field Theory
• Boosting Away Singularities from Conformal String Backgrounds
• Some Exact Solutions of String Theory in Four and Five Dimensions
• Finite sigma models and exact string solutions with Minkowski signature metric
• On Cosmological String Backgrounds with Toroidal Isometries
• A class of finite two - dimensional sigma models and string vacua
• Vanishing of the conformal anomaly for strings in a gravitational wave
• Higher Order Conformal Invariance of String Backgrounds Obtained by O(d,d) Transformations
• Gauged String Actions and O($\tilde{d}$, $\tilde{d}$) Transformation

Cited by in corpus (30)

• Exactly solvable model of superstring in Ramond-Ramond plane wave background
• Plane Wave Limits and T-Duality
• A New Class of Exact Solutions in String Theory
• On solvable models of type IIB superstring in NS-NS and R-R plane wave backgrounds
• Solvable model of strings in a time-dependent plane-wave background
• Duality Beyond the First Loop
• Exact solutions of closed string theory
• Constant magnetic field in closed string theory: an exactly solvable model
• Vortices in (abelian) Chern-Simons gauge theory
• Homogeneous Yang-Baxter deformations as non-abelian duals of the AdS_5 sigma-model
• Four Dimensional Plane Wave String Solutions with Coset CFT Description
• Melvin solution in string theory
• String interactions in gravitational wave backgrounds
• Strings in homogeneous gravitational waves and null holography
• Exact four dimensional string solutions and Toda-like sigma models from `null-gauged' WZNW theories
• Strings in Plane Wave Backgrounds Revisited
• Combining the bi-Yang-Baxter deformation, the Wess-Zumino term and TsT transformations in one integrable sigma-model
• Plane Gravitational Waves in String Theory
• U-duality Covariant M-theory Cosmology
• $O(d,d)$ Symmetry in Quantum Cosmology
• Dynamical Topology Change, Compactification and Waves in String Cosmology
• The diagonal cosets of the Heisenberg group
• PP-Wave Strings from Membrane and from String in the Spacetime with Two Time Directions
• Non-Abelian Duality Based on Non-Semi-Simple Isometry Groups
• WZNW Models and Gauged WZNW Models Based on a Family of Solvable Lie Algebras
• Strings in the pp-wave Background from Membrane
• N=2 Current Algebras for Non-Semi-Simple Groups
• Exact O(d,d) Transformations in WZW Models
• Scalar field fluctuations in Pre-Big-Bang Cosmologies
• On exactly solvable Yang-Baxter models and enhanced symmetries