N=2 String as a Topological Conformal Algebra

TL;DR

This paper demonstrates that critical and subcritical N=2 string theories realize an N=2 superfield extension of the topological conformal algebra, emphasizing the role of background charge vanishing.

Contribution

It establishes a novel connection between N=2 string theories and topological conformal algebras through superfield extensions.

Findings

Realization of N=2 superfield extension in string theory

Background charge vanishes in critical/subcritical cases

Provides insight into algebraic structure of N=2 strings

Abstract

We prove that critical and subcritical N=2 string theory gives a realization of an N=2 superfield extension of the topological conformal algebra. The essential observation is the vanishing of the background charge.