On the Landau-Ginzburg Realization of Topological Gravities

Abstract

We study the equivariant cohomology of a class of multi-field topological LG models, and find that such systems carry intrinsic information about $W$-gravity. As a result, we can construct the gravitational chiral ring in terms of LG polynomials. We find, in particular, that the spectrum of such theories seems to be richer than so far expected. We also briefly discuss the BRST operator for non-linear topological $W$-gravity.

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References in corpus (15)

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Cited by in corpus (12)

• Boundary Rings and N=2 Coset Models
• The Kazhdan-Lusztig conjecture for W-algebras
• ADE Singularities and Coset Models
• The Refined Elliptic Genus and Coulomb Gas Formulations of $N=2$ Superconformal Coset Models
• Generalized Drinfeld-Sokolov Hierarchies, Quantum Rings, and W-Gravity
• Explicit Construction of $N=2$ $W_3$ Current in the $N=2$ Coset $\frac{SU(3)}{SU(2)\times U(1)}$ Model
• On the Algebraic Structure of Gravitational Descendants in CP(n-1) Coset Models
• Topological Strings from WZW Models
• D-branes and matrix factorisations in supersymmetric coset models
• On the Lagrangian Realization of Non-Critical $\mathcal{W}$-Strings
• The W_3 algebra: modules, semi-infinite cohomology and BV-algebras
• Topology and Strings: Topics in $N=2$