2-D Supergravity and Its Connection to Integrable Models

Document Type

Other

Rights

This item is available under a Creative Commons License for non-commercial use only

Disciplines

1.1 MATHEMATICS

Publication Details

Mod. Phys. Lett. A 8, 2943-2954, 1993

Abstract

In recent work two different approaches for obtaining the covariant action of 2D quantum supergravity are developed. The first one is based on Hamiltonian reduction of flat OSP(2|1) connection in holomorphic polarization. Adding extra degrees of freedom with the help of gauging procedure, the action and the superconformal Ward identity are obtained. It is shown that super-Virasoro transformations preserve the form of the Lax connection and therefore are symmetries of the sKdV equations. In the second approach starting with Chern-Simons theory and using non-canonical polarization the zero-curvature condition entails the same results.

DOI

https://doi.org/10.1142/S0217732393003366

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