Two-dimensional gauge theoretic supergravities

• Published in: Nuclear physics. B 1994-05, Vol.420 (1), p.363-375
• Main Authors: Cangemi, D., Leblanc, M.
• Format: Article
• Language: English
• Subjects: Exact sciences and technology; Gauge field theories; General relativity and gravitation; General theory of fields and particles; Models beyond the standard model; Other nonperturbative techniques; Physics; Specific theories and interaction models; particle systematics; Supergravity; Supersymmetric models; Supersymmetry; Symmetry and conservation laws; The physics of elementary particles and fields
• ISSN: 0550-3213; 1873-1562
• DOI: 10.1016/0550-3213(94)90386-7

We investigate two-dimensional supergravity theories, which can be built from a topological and gauge invariant action defined on an ordinary surface. One is the N = 1 supersymmetric extension of the Jackiw-Teitelboim 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 equations of motion correspond to the supergravity ones and do gauge transformations encompass local supersymmetries, but we also identify the ∫〈 η, 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 cannot be written as a ∫〈 η, F〉-theory. As an alternative, we propose two topological and gauge theories that are based on a graded extension of the extended Poincaré algebra and satisfy a vanishing-curvature condition. Both models are supersymmetric extensions of the string-inspired dilaton gravity.