On a Logarithmic Deformation of the Supersymmetric bc-system on Curved Manifolds

Abstract

E. Frenkel, A. Losev and N. Nekrasov claim that a certain class of theories on compact Kahler manifolds and in particular the "gauged" supersymmetric bc-system on CP1 are logarithmic conformal field theories. We discuss that proposition on a classical level for the bc-system on CP1. The outcome of our investigation conforms to their conjecture. The property of being a logarithmic CFT thus can be interpreted as an effect of gravity.

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