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

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

1994-06-20

arxiv.org/abs/hep-th/9406131v2

Phys.Lett. B342 (1995) 66-72

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0370-2693(94)01408-5

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.

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