The Complete Solution of 2D Superfield Supergravity from graded Poisson-Sigma Models and the Super Pointparticle

Abstract

Recently an alternative description of 2d supergravities in terms of graded Poisson-Sigma models (gPSM) has been given. As pointed out previously by the present authors a certain subset of gPSMs can be interpreted as "genuine" supergravity, fulfilling the well-known limits of supergravity, albeit deformed by the dilaton field. In our present paper we show that precisely that class of gPSMs corresponds one-to-one to the known dilaton supergravity superfield theories presented a long time ago by Park and Strominger. Therefore, the unique advantages of the gPSM approach can be exploited for the latter: We are able to provide the first complete classical solution for any such theory. On the other hand, the straightforward superfield formulation of the point particle in a supergravity background can be translated back into the gPSM frame, where "supergeodesics" can be discussed in terms of a minimal set of supergravity field degrees of freedom. Further possible applications like the (almost) trivial quantization are mentioned.

48 pages, 1 figure. v3: after final version, typos corrected

References in corpus (4)

• Dimensionally Reduced Gravitational Chern-Simons Term and its Kink
• The Classical Solutions of the Dimensionally Reduced Gravitational Chern-Simons Theory
• Graded Poisson-Sigma Models and Dilaton-Deformed 2D Supergravity Algebra
• Gravity from Lie algebroid morphisms

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• 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
• Physics-to-gauge conversion at black hole horizons
• Two-Dimensional N=(2,2) Dilaton Supergravity from Graded Poisson-Sigma Models I: Complete Actions and Their Symmetries
• Quantum dilaton supergravity in 2D with non-minimally coupled matter
• Two-Dimensional N=(2,2) Dilaton Supergravity from Graded Poisson-Sigma Models II: Analytic Solution and BPS States
• Superembedding approach to superstring in AdS(5)xS*5 superspace
• Wolfgang Kummer and the Vienna School of Dilaton (Super-)Gravity
• Constant Dilaton Vacua and Kinks in 2D (Super-)Gravity