Field Redefinitions in String Theory as a Solution Generating Technique

Abstract

The purpose of this work is to show that there exists an additional invariance of the $\beta$-function equations of string theory on $d+1$-dimensional targets with $d$ toroidal isometries. It corresponds to a shift of the dilaton field and a scaling of the lapse function, and is reminiscent of string field redefinitions. While it preserves the form of the $\beta$-function equations, it changes the effective action and the solutions. Thus it can be used as a solution generating technique. It is particularly interesting to note that there are field redefinitions which map solutions with non-zero string cosmological constant to those with zero cosmological constant. Several simple examples involving two- and three-dimensional black holes and black strings are provided to illustrate the role of such field redefinitions.

LaTeX file, 15 pages, U. of Alberta report Alberta Thy-8-94. (Revisions consist of rewording the comment on the relationship of semiclassical and exact 2d black holes, including 2 references and expanding acknowledgement)

References in corpus (28)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Noncompact Symmetries in String Theory
• Rotating Charged Black Hole Solution in Heterotic String Theory
• Duality Symmetric Actions
• Exact Three Dimensional Black Holes in String Theory
• Duality Symmetries of 4D Heterotic Strings
• Twisting Classical Solutions in Heterotic String Theory
• $O(d,d)$-Covariant String Cosmology
• Manifestly $O(d,d)$ Invariant Approach to Space-Time Dependent String Vacua
• Generalized Duality in Curved String-Backgrounds
• Electric Magnetic Duality in String Theory
• Exact Duality Symmetries in CFT and String Theory
• Conformally Exact Metric and Dilaton in String Theory on Curved Spacetime
• Marginal Deformations of WZNW and Coset Models from O(d,d) Transformation
• Miens of The Three Dimensional Black Hole
• Effective action of gauged WZW model and exact string solutions
• Boosting Away Singularities from Conformal String Backgrounds
• Gauge Formulation of the Spinning Black Hole in (2+1)-Dimensional Anti-de Sitter Space
• Non-Singularity of the Exact Two-Dimensional String Black Hole
• On field redefinitions and exact solutions in string theory
• Exact Effective Action and Spacetime Geometry in Gauged WZW Models
• On Cosmological String Backgrounds with Toroidal Isometries
• $O(\tilde{d},\tilde{d})$ Transformations and 3D Black Hole
• Gauged String Actions and O($\tilde{d}$, $\tilde{d}$) Transformation
• An Algorithm to Generate Classical Solutions for String Effective Action
• Nonsingular 2-D Black Holes and Classical String Backgrounds
• Stringy Cosmic Strings and Axion Cohomology

Cited by in corpus (4)

• Stringy Toda Cosmologies
• Cos(M)ological Solutions in M- and String Theory
• On Some New Black String Solutions in Three Dimensions
• Symmetric Variations of the Metric and Extrema of the Action for Pure Gravity