Duality in N=2 Super-Liouville Theory

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.

8 pages

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• One-Point Functions of N=2 Super-Liouville Theory with Boundary
• ZZ-Branes of N=2 Super-Liouville Theory
• Structure constants of the OSP(1|2) WZNW model
• Symmetry and entropy of black hole horizons
• Semi-localized instability of the Kaluza-Klein linear dilaton vacuum
• The String Theory on AdS_3 as a Marginal Deformation of a Linear Dilaton Background
• Boundary Action of N=2 Super-Liouville Theory
• The Liouville Geometry of N=2 Instantons and the Moduli of Punctured Spheres
• Hairpin-Branes and Tachyon-Paperclips in Holographic Backgrounds
• $\mathcal{N}=1$ Liouville SCFT in Four Dimensions
• Modular Bootstrap of Boundary N=2 Liouville Theory
• N=2 boundary supersymmetry in integrable models and perturbed boundary conformal field theory
• Crosscap states in N=2 Liouville theory
• Higher Equations of Motion in N=2 Superconformal Liouville Field Theory
• Deformed Type 0A Matrix Model and Super-Liouville Theory for Fermionic Black Holes