On the Algebraic Structure of Gravitational Descendants in CP(n-1) Coset Models

Abstract

We investigate how specific free-field realizations of twisted N=2 supersymmetric coset models give rise to natural extensions of the ``matter'' Hilbert spaces in such a manner as to incorporate the various gravitational excitations. In particular, we show that adopting a particular screening prescription is equivalent to imposing the requisite equivariance condition on cohomology. We find a simple algebraic characterization of the $W_n$-gravitational ground ring spectra of these theories in terms of affine-$SU(n)$ highest weights..

12p, harvmac/lanlmac with hyperlinks, 1 uuencoded PostScript figure, CERN-TH.7442/94, USC-94/014

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Cited by in corpus (5)

• Boundary Rings and N=2 Coset Models
• Free-Field Resolutions of the Unitary N=2 Super-Virasoro Representations
• The Kazhdan-Lusztig conjecture for W-algebras
• The Refined Elliptic Genus and Coulomb Gas Formulations of $N=2$ Superconformal Coset Models
• Generalized Drinfeld-Sokolov Hierarchies, Quantum Rings, and W-Gravity