One-Point Functions of N=2 Super-Liouville Theory with Boundary

TL;DR

This paper derives one-point functions for N=2 super-Liouville theory on a half line, using modular transformations and conformal bootstrap, providing multiple consistency checks for these results.

Contribution

It introduces a novel derivation of one-point functions in N=2 super-Liouville theory using modular transformations and bootstrap methods, with comprehensive validation.

Findings

Derived explicit one-point functions for N=2 super-Liouville theory.

Confirmed consistency with conformal bootstrap equations.

Validated results through multiple independent checks.

Abstract

We derive one-point functions of the N=2 super-Liouville theory on a half line using the modular transformations of the characters in terms of the bulk and boundary cosmological constants. We also show that these results are consistent with conformal bootstrap equations which are based on the bulk and boundary actions. We provide various independent checks for our results.