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

TL;DR

This paper investigates the classical aspects of the supersymmetric bc-system on CP^1, supporting the conjecture that such theories are logarithmic conformal field theories influenced by gravitational effects.

Contribution

It provides a classical analysis of the bc-system on CP^1, confirming the conjecture that these theories are logarithmic CFTs affected by gravity.

Findings

Supports the conjecture that the bc-system on CP^1 is a logarithmic CFT.

Shows the property of being a logarithmic CFT can be interpreted as an effect of gravity.

Conforms to the claim that certain supersymmetric theories on curved manifolds are logarithmic CFTs.

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.