The BRST Operator for the Large $N=4$ Superconformal Algebra

TL;DR

This paper reviews the large N=4 superconformal algebra, constructs its BRST operator, and identifies conditions for critical N=4 string theories, advancing understanding of their algebraic structure and quantization.

Contribution

It introduces the explicit form of the BRST operator for the large N=4 superconformal algebra and derives conditions for its nilpotency, revealing a line of critical N=4 string theories.

Findings

Existence of a line of critical N=4 string theories.

Explicit construction of the BRST operator for the algebra.

Derived conditions for BRST nilpotency.

Abstract

We review the detailed structure of the large $N=4$ superconformal algebra, and construct its BRST operator which constitutes the main object for analyzing $N=4$ strings. We then derive the general condition for the nilpotency of the BRST operator and show that there exists a line of critical $N=4$ string theories.