Semi-infinite cohomology in conformal field theory and 2d gravity

Abstract

We discuss various techniques for computing the semi-infinite cohomology of highest weight modules which arise in the BRST quantization of two dimensional field theories. In particular, we concentrate on two such theories -- the $G/H$ coset models and $2d$ gravity coupled to $c\le 1$ conformal matter. (to appear in the proceedings of the XXV Karpacz Winter School)

22 pages, USC-92/020, ADP-92-194/M12, CERN-TH.6646/92

References in corpus (6)

• W-symmetry in Conformal Field Theory
• Algebraic Structures and Differential Geometry in 2D String Theory
• BRST Analysis of Physical States for 2D (Super) Gravity Coupled to (Super) Conformal Matter
• Physical States in G/G Models and 2d Gravity
• Ground ring for the 2D NSR string
• G/G Models and W_N strings

Cited by in corpus (3)

• Null vectors, 3-point and 4-point functions in conformal field theory
• Semi-infinite cohomology of W-algebras
• BRST cohomology of the critical $W_4$ string