2-DIMENSIONAL GAUGE THEORETIC SUPERGRAVITIES

Citation
D. Cangemi et M. Leblanc, 2-DIMENSIONAL GAUGE THEORETIC SUPERGRAVITIES, Nuclear physics. B, 420(1-2), 1994, pp. 363-375
Citations number
37
Categorie Soggetti
Physics, Nuclear
Journal title
ISSN journal
05503213
Volume
420
Issue
1-2
Year of publication
1994
Pages
363 - 375
Database
ISI
SICI code
0550-3213(1994)420:1-2<363:2GTS>2.0.ZU;2-A
Abstract
We investigate two-dimensional supergravity theories, which can be bui lt from a topological and gauge invariant action defined on an ordinar y surface. One is the N = 1 supersymmetric extension of the Jackiw-Tei telboim model presented by Chamseddine in a superspace formalism. We c omplement the proof of Montano, Aoaki and Sonnenschein that this exten sion is topological and gauge invariant, based on the graded de Sitter algebra. Not only do the equations of motion correspond to the superg ravity ones and do gauge transformations encompass local supersymmetri es, but we also identify the integral([eta, F]-theory with the superfi eld formalism action written by Chamseddine. Next, we show that the N = 1 supersymmetric extension of string-inspired two-dimensional dilato n gravity put forward by Park and Strominger cannot be written as a in tegral[eta, F]-theory. As an alternative, we propose two topological a nd gauge theories that are based on a graded extension of the extended Poincare algebra and satisfy a vanishing-curvature condition. Both mo dels are supersymmetric extensions of the string-inspired dilaton grav ity.