On the Twisted $N=2$ Superconformal Structure in $2d$ Gravity Coupled to Matter

Abstract

It is shown that the two dimensional gravity, described either in the conformal gauge (the Liouville theory) or in the light cone gauge, when coupled to matter possesses an infinite number of twisted $N=2$ superconformal symmetries. The central charges of the $N=2$ algebra for the two gauge choices are in general different. Further, it is argued that the physical states in the light cone gauge theory can be obtained from the Liouville theory by a field redefinition.

Plain Tex, 13 pages, IC/93/81, UG-3/93

References in corpus (4)

• BRST Analysis of Physical States for 2D (Super) Gravity Coupled to (Super) Conformal Matter
• Minimal Models from W-Constrained Hierarchies via the Kontsevich-Miwa Transform
• Discrete States of 2D String Theory in Polyakov's Light-Cone Gauge
• On the Symmetry Algebra of the Discrete States in $d<2$ Closed String Theory

Cited by in corpus (5)

• Observations on the Topological Structure in 2d Gravity Coupled to Minimal Matter
• $c_M<1$ String Theory as a Constrained Topological Sigma Model
• ``N=4: A Unifying Framework for 2d Topological Gravity, $c_M\le 1$ String Theory and Constrained Topological Sigma Model''
• On N=1 Superconformal Algebra in the Non-Critical Bosonic String Theory
• Topological supergravity structure of non-critical superstring theories