Observations on the Topological Structure in 2d Gravity Coupled to Minimal Matter

Abstract

By using a bosonization we uncover the topological gravity structure of Labastida, Pernici and Witten in ordinary $2d$ gravity coupled to $(p,q)$ minimal models. We study the cohomology class associated with the fermionic charge of the topological gravity which is shown to be isomorphic to that of the total $BRST$ charge. One of the ground ring generators of $c_M<1$ string theory is found to be in the equivariant cohomology of this fermionic charge.

13 pages, plain tex, UG-5/94 Some clarifying statements and two new references added

References in corpus (8)

• Algebraic Structures and Differential Geometry in 2D String Theory
• Extended N=2 Superconformal Structure of Gravity and W-Gravity Coupled to Matter
• Ground Rings and Their Modules in 2D Gravity with $c\le 1$ Matter
• Topological Strings, Flat Coordinates and Gravitational Descendants
• Minimal Models from W-Constrained Hierarchies via the Kontsevich-Miwa Transform
• Chiral Rings and Physical States in c<1 String Theory
• On the Twisted $N=2$ Superconformal Structure in $2d$ Gravity Coupled to Matter
• On the Symmetry Algebra of the Discrete States in $d<2$ Closed String Theory

Cited by in corpus (2)

• ``N=4: A Unifying Framework for 2d Topological Gravity, $c_M\le 1$ String Theory and Constrained Topological Sigma Model''
• Topological supergravity structure of non-critical superstring theories