Topological gravity with exchange algebra

Abstract

A topological gravity is obtained by twisting the effective $(2,0)$ super\-gravity. We show that this topological gravity has an infinite number of BRST invariant quantities with conformal weight $0$. They are a tower of OSp$(2,2)$ multiplets and satisfy the classical exchange algebra of OSp$(2,2)$. We argue that these BRST invariant quantities become physical operators in the quantum theory and their correlation functions are braided according to the quantum OSp$(2,2)$ group. These properties of the topological effective gravity are not shared by the standard topological gravity.

15 pages, Plain TEX, KUL-TF-93/47

References in corpus (3)

• Interaction of Discrete States in Two-Dimensional String Theory
• BRST Analysis of Physical States for 2D (Super) Gravity Coupled to (Super) Conformal Matter
• Topological Strings, Flat Coordinates and Gravitational Descendants

Cited by in corpus (6)

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• PSU(2,2|4) Exchange Algebra of N=4 Superconformal Multiplets
• Spin-chain with PSU(2|2)xU(1)^3 and Non-linear Sigma-model with D(2,1;gamma)
• Consistently Constrained SL(N) WZWN Models and Classical Exchange Algebra