Super-Liouville - Double Liouville correspondence

Abstract

The AGT motivated relation between the tensor product of the N = 1 super-Liouville field theory with the imaginary free fermion (SL) and a certain projected tensor product of the real and the imaginary Liouville field theories (LL) is analyzed. Using conformal field theory techniques we give a complete proof of the equivalence in the NS sector. It is shown that the SL-LL correspondence is based on the equivalence of chiral objects including suitably chosen chiral structure constants of all the three Liouville theories involved.

The Introduction expanded, main points of the paper clarified. Misprints corrected and references added. Published in JHEP

References in corpus (6)

• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• AGT conjecture and Integrable structure of Conformal field theory for c=1
• Bootstrap in Supersymmetric Liouville Field Theory. I. NS Sector
• Notes on Liouville Theory at c<=1
• Parafermionic polynomials, Selberg integrals and three-point correlation function in parafermionic Liouville field theory
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Cited by in corpus (6)

• A slow review of the AGT correspondence
• Exact results for $\mathcal{N}=2$ supersymmetric gauge theories on compact toric manifolds and equivariant Donaldson invariants
• The analytic bootstrap equations of non-diagonal two-dimensional CFT
• Backlund transformation of Painleve III($D_8$) tau function
• $\mathcal{N}=2$ supersymmetric gauge theories on $S^2\times S^2$ and Liouville Gravity
• Non-rational su(2) cosets and Liouville field theory