On field redefinitions and exact solutions in string theory

Abstract

String backgrounds associated with gauged $G/H$ WZNW models in general depend non-trivially on ${\alpha }^{\prime }$. We note, however, that there exists a local covariant $\a'$-dependent field redefinition that relates the exact metric-dilaton background corresponding to the $SL(2,R)/U(1)$ model to its leading-order form ($D=2$ black hole). As a consequence, there exists a `scheme' in which the string effective equations have the latter as an exact solution. However, the corresponding equation for the tachyon (which, like other Weyl anomaly coefficients, has scheme-dependent form) still contains corrections of all orders in ${\alpha }^{\prime }$. As a result, the `probes' (the tachyons) still feel the ${\alpha }^{\prime }$-corrected background. The field redefinitions we discuss contain the dilaton terms in the metric transformation law. We comment on exact forms of the duality transformation in different `schemes'.

11 pages, harvmac, CERN-TH.6970/93 [ A new section on tachyonic equation is added: while there exists a scheme where the exact D=2 `black hole' metric-dilaton background has semiclassical form, the equation for the tachyon still contains α'-corrections, i.e. the tachyon still feels the α'-corrected background ]

References in corpus (5)

• Duality and Dilaton
• Effective action of gauged WZW model and exact string solutions
• Dilaton shift under duality and torsion of elliptic complex
• Exact Effective Action and Spacetime Geometry in Gauged WZW Models
• Exact Bosonic and Supersymmetric String Black Hole Solutions

Cited by in corpus (32)

• Target Space Duality in String Theory
• Axial Vector Duality as a Gauge Symmetry and Topology Change in String Theory
• General class of BPS saturated dyonic black holes as exact superstring solutions
• Duality Beyond the First Loop
• Exact solutions of closed string theory
• Constant magnetic field in closed string theory: an exactly solvable model
• Gauging a Non-Semi-Simple WZW Model
• Four Dimensional Plane Wave String Solutions with Coset CFT Description
• Exactly solvable string models of curved space-time backgrounds
• On exact solutions and singularities in string theory
• Melvin solution in string theory
• A class of exact pp-wave string models with interacting light-cone gauge actions
• Singularities In Scalar-Tensor Cosmologies
• On free energy of 2-d black hole in bosonic string theory
• Integrable 2d sigma models: quantum corrections to geometry from RG flow
• Hagedorn Behaviour of Little String Theory from String Corrections to NS5-Branes
• Antisymmetric tensor coupling and conformal invariance in sigma models corresponding to gauged WZNW theories
• String scale black holes at large $D$
• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
• On the perturbative S-matrix of generalized sine-Gordon models
• Quantum corrections of Abelian Duality Transformations
• An action for the exact string black hole
• On integrable models from pp-wave string backgrounds
• Non-abelian Toda theory on AdS${}_2$ and AdS${}_2$/CFT${}_2^{1/2}$ duality
• On Some New Black String Solutions in Three Dimensions
• Semiclassical vs. Exact Solutions of Charged Black Hole in Four Dimensions and Exact O(d,d) Duality
• Hagedorn Behavior of Little String Theories
• 2D Black Holes, Bianchi I Cosmologies, and ${\alpha }^{\prime }$
• Brane Curvature Corrections to the $\mathcal{N}=1$ Type II/F-theory Effective Action
• Exact O(d,d) Transformations in WZW Models
• Field Redefinitions in String Theory as a Solution Generating Technique
• Revisiting $R^4$ higher curvature corrections to black holes