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 CP^1 are logarithmic conformal field theories. We discuss that proposition on a classical level for the bc-system on CP^1. 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.

References in corpus (4)

• Lectures on curved beta-gamma systems, pure spinors, and anomalies
• Mirror symmetry in two steps: A-I-B
• Instantons beyond topological theory II
• Towards the Construction of Local Logarithmic Conformal Field Theories

Cited by in corpus (1)

• A Heisenberg double addition to the logarithmic Kazhdan--Lusztig duality