Supersymmetric black holes in 2D dilaton supergravity: baldness and extremality

Abstract

We present a systematic discussion of supersymmetric solutions of 2D dilaton supergravity. In particular those solutions which retain at least half of the supersymmetries are ground states with respect to the bosonic Casimir function (essentially the ADM mass). Nevertheless, by tuning the prepotential appropriately, black hole solutions may emerge with an arbitrary number of Killing horizons. The absence of dilatino and gravitino hair is proven. Moreover, the impossibility of supersymmetric dS ground states and of nonextremal black holes is confirmed, even in the presence of a dilaton. In these derivations the knowledge of the general analytic solution of 2D dilaton supergravity plays an important role. The latter result is addressed in the more general context of gPSMs which have no supergravity interpretation. Finally it is demonstrated that the inclusion of non-minimally coupled matter, a step which is already nontrivial by itself, does not change these features in an essential way.

30 pages, LaTeX, v2: mayor revision (rearranged title, shortened abstract, revised introduction, inserted section from appendix to main text, added subsection with new material on non-SUGRA gPSMs, added clarifying remarks at some places, updated references); v3: corrected minor misprints, added note with a new reference

References in corpus (5)

• Dilaton Gravity in Two Dimensions
• 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
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Cited by in corpus (11)

• Thermodynamics of Black Holes in Two (and Higher) Dimensions
• Boundary theories for dilaton supergravity in 2D
• An action for the exact string black hole
• Holographic counterterms from local supersymmetry without boundary conditions
• 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
• On static solutions in 2D dilaton gravity with scalar matter
• Two-Dimensional N=(2,2) Dilaton Supergravity from Graded Poisson-Sigma Models I: Complete Actions and Their Symmetries
• Linear derivative Cartan formulation of General Relativity
• Two-Dimensional N=(2,2) Dilaton Supergravity from Graded Poisson-Sigma Models II: Analytic Solution and BPS States