Target-Superspace in 2d Dilatonic Supergravity

Abstract

The N=1 supersymmetric version of generalized 2d dilaton gravity can be cast into the form of a Poisson Sigma Model, where the target space and its Poisson bracket are graded. The target space consists of a 1+1 superspace and the dilaton, which is the generator of Lorentz boosts therein. The Poisson bracket on the target space induces the invariance of the worldsheet theory against both diffeomorphisms and local supersymmetry transformations (superdiffeomorphisms). The machinery of Poisson Sigma Models is then used to find the general local solution to the field equations. As a byproduct, classical equivalence between the bosonic theory and its supersymmetric extension is found.

6 pages, Latex, to be published in PLB

References in corpus (3)

• String Model with Dynamical Geometry and Torsion
• Free differential algebras and generic 2D dilatonic (super)gravities
• Boundary Conditions and Quasilocal Energy in the Canonical Formulation of All 1+1 Models of Gravity

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• From Quantum Groups to Liouville and Dilaton Quantum Gravity
• Graded Poisson-Sigma Models and Dilaton-Deformed 2D Supergravity Algebra
• An action for the exact string black hole
• The Complete Solution of 2D Superfield Supergravity from graded Poisson-Sigma Models and the Super Pointparticle
• Supersymmetric black holes in 2D dilaton supergravity: baldness and extremality
• Quantization of 2D dilaton supergravity with matter
• Long time black hole evaporation with bounded Hawking flux
• Chemistry of Chern-Simons Supergravity: reduction to a BPS kink, oxidation to M-theory and thermodynamical aspects
• Dimensional Reduction of Nonlinear Gauge Theories
• Two-Dimensional N=(2,2) Dilaton Supergravity from Graded Poisson-Sigma Models I: Complete Actions and Their Symmetries
• Two-Dimensional N=(2,2) Dilaton Supergravity from Graded Poisson-Sigma Models II: Analytic Solution and BPS States
• Supersymmetric Poisson and Poisson-supersymmetric sigma models