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

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

1994-09-12

arxiv.org/abs/hep-th/9409069v1

Phys.Lett. B343 (1995) 87-93

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0370-2693(94)01440-N

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..

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