Constant Dilaton Vacua and Kinks in 2D (Super-)Gravity

Abstract

2D dilaton (super-)gravity contains a special class of solutions with constant dilaton, a kink-like solution connecting two of them was recently found in a specific model that corresponds to the KK reduced 3D Chern-Simons term. Here we develop the systematics of such solutions in generalized 2D dilaton gravity and supergravity. The existence and characteristics thereof essentially reduce to the discussion of the conformally invariant potential W, restrictions in supergravity come from the relation W=- 2 w^2. It is shown that all stable kink solutions allow a supersymmetric extension and are BPS therein. Some examples of polynomial potentials are presented.

8 pages, Contributed to Third Workshop on Gravity, Astrophysics and Strings at the Black Sea, Kiten, Bulgaria, 13-20 Jun 2005. v2: reference update

References in corpus (7)

• Dimensionally Reduced Gravitational Chern-Simons Term and its Kink
• The Classical Solutions of the Dimensionally Reduced Gravitational Chern-Simons Theory
• Supersymmetry and Positive Energy in Classical and Quantum Two-Dimensional Dilaton Gravity
• Conserved Quasilocal Quantities and General Covariant Theories in Two Dimensions
• Graded Poisson-Sigma Models and Dilaton-Deformed 2D Supergravity Algebra
• The Complete Solution of 2D Superfield Supergravity from graded Poisson-Sigma Models and the Super Pointparticle
• Chemistry of Chern-Simons Supergravity: reduction to a BPS kink, oxidation to M-theory and thermodynamical aspects