Duality in N=2 Super-Liouville Theory

TL;DR

This paper investigates a proposed strong-weak coupling duality in N=2 super-Liouville field theory, introducing a dual action related by a coupling transformation and validating it through reflection amplitude calculations.

Contribution

It proposes a dual action for N=2 super-Liouville theory linked by a coupling transformation and confirms its validity via reflection amplitude computations.

Findings

Reflection amplitudes are consistent with the duality conjecture.

The duality relates the theory at coupling b to 1/b, despite the absence of self-duality.

Results support the proposed strong-weak coupling duality in N=2 SLFT.

Abstract

In this paper we consider a strong-weak coupling duality of the N=2 super-Liouville field theory (SLFT). Without the self-duality found in other Liouville theories, the N=2 SLFT, we claim, is associated with a `dual' action by a transformation $b\to 1/b$ where $b$ is the coupling constant. To justify our conjecture, we compute the reflection amplitudes (or two-point functions) of the (NS) and the (R) operators of the N=2 SLFT based on the conjectured dual action and show that the results are consistent with known results.