Two Dimensional Gauge Theoretic Supergravities

Abstract

We investigate two dimensional supergravity theories, which can be built from a topological and gauge invariant action defined on an ordinary surface. We concentrate on four models. The first model is the $N=1$ supersymmetric extension of Jackiw-Teiltelboim model presented by Chamseddine in a superspace formalism. We complement the proof of Montano, Aoaki, and Sonnenschein that this extension is topological and gauge invariant, based on the graded de Sitter algebra. Not only do the equation of motions correspond to the supergravity ones and gauge transformations encompass local supersymmetries, but also we identify the $\int ⟨\eta ,F⟩$-theory with the superfield formalism action written by Chamseddine. Next, we show that the $N=1$ supersymmetric extension of string inspired two dimensional dilaton gravity put forward by Park and Strominger is a theory that satisfies a non-vanishing curvature condition and cannot be written as a $\int ⟨\eta ,F⟩$-theory. As an alternative, we propose two examples of topological and gauge invariant theories that are based on graded extension of the extended Poincaré algebra and satisfy a vanishing curvature condition. Both models are interpreted as supersymmetric extensions of the string inspired dilaton gravity.

17 pages, CTP#2224, UdeM-LPN-TH-93-167, CRM#1897

References in corpus (2)

• The Black Hole in Three Dimensional Space Time
• Gauge Invariant Formulations of Lineal Gravity

Cited by in corpus (6)

• A Solvable Model of Flat Space Holography
• Phase transitions for deformations of JT supergravity and matrix models
• Black Holes in the Gauge Theoretic Formulation of Dilatonic Gravity
• Topological Dilatonic Supergravity Theories
• Holography in CGHS supergravity
• Gauge Theoretic Formulation of Dilatonic Gravity Coupled to Particles