Chiral ring in the 4D W₃ string

1995/09/25 by Jim McCarthy, McCarthy, Jim
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9509134

13 pages

arxiv created 1995/09/25 · arxiv updated 2009/11/30

Abstract

I summarize some recent results obtained in collaboration with P.~Bouwknegt and K.~Pilch on the spectrum of physical states in \cW₃ gravity coupled to c=2 matter. In particular, it is shown that the algebra of operators corresponding to physical states -- defined as a semi-infinite (or BRST) cohomology of the \cW₃ algebra -- carries the structure of a G-algebra. This G-algebra has a quotient which is isomorphic to the G-algebra of polyvector fields on the base affine space of SL(3,\CC). Details have appeared elsewhere. To appear (with title change) in the proceedings of the ``H.S. Green and A. Hurst Festschrift: Confronting the Infinite'' Adelaide, March 1994.

Related

• Operator algebra of the 4D W₃ string
• On the BRST structure of W₃ gravity coupled to c=2 matter
• The Ring Structure of Chiral Operators for Minimal Models Coupled to 2D Gravity
• Coulomb branches for quaternionic representations
• Chiral Rings and Integrable Systems for Models of Topological Gravity