Boundary Action of N=2 Super-Liouville Theory

TL;DR

This paper derives a boundary action for N=2 super-Liouville theory that maintains supersymmetry and conformal symmetry, revealing a new duality symmetry in the process.

Contribution

It introduces a boundary action for N=2 super-Liouville theory that explicitly preserves key symmetries and uncovers a novel duality symmetry.

Findings

Boundary action preserving N=2 supersymmetry and conformal symmetry

Explicit realization of duality symmetry in the boundary action

Potential implications for boundary conformal field theories

Abstract

We derive a boundary action of N=2 super-Liouville theory which preserves both N=2 supersymmetry and conformal symmetry by imposing explicitly $T={\bar T}$ and $G={\bar G}$. The resulting boundary action shows a new duality symmetry.