Structure constants of the OSP(1|2) WZNW model

Abstract

We propose exact formulas for the 2- and 3-point functions of the WZNW model on the non-compact supergroup OSP(1|2). Using the path integral approach that was recently developed in arXiv:0706.1030 we show how local correlation functions in the OSP(p|2) WZNW models can be obtained from those of N=p supersymmetric Liouville field theory for p=1,2. We then employ known results on correlators in N=1 Liouville theory to determine the structure constants of the OSP(1|2) theory.

32 pages, no figure, typos corrected

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Cited by in corpus (27)

• The Schwarzian Theory - A Wilson Line Perspective
• Supergroup Structure of Jackiw-Teitelboim Supergravity
• Rectangular W-algebras, extended higher spin gravity and dual coset CFTs
• String States on AdS_3 x S^3 from the Supergroup
• Geometry of branes on supergroups
• Correlation functions of symmetric orbifold from AdS${}_3$ string theory
• Braiding and fusion properties of the Neveu-Schwarz super-conformal blocks
• Degenerate operators in JT and Liouville (super)gravity
• Rectangular W-(super)algebras and their representations
• Supergroup - extended super Liouville correspondence
• Correspondences among CFTs with different W-algebra symmetry
• Branes in the OSP(1|2) WZNW model
• The FZZ duality with boundary
• Liouville's Imaginary Shadow
• Correspondences between WZNW models and CFTs with W-algebra symmetry
• On the saturation of late-time growth of complexity in supersymmetric JT gravity
• Topological String on OSP(1|2)/U(1)
• Higher rank FZZ-dualities
• Gravitational wavefunctions in JT supergravity
• Yangian Superalgebras in Conformal Field Theory
• Disk one-point function for non-rational conformal theories
• Kappa symmetric OSp(2|2) WZNW model
• Fermionic Coset, Critical Level W^(2)_4-Algebra and Higher Spins
• Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1)
• Yang-Baxter deformations of the OSP(1|2) WZW model
• Conformal field theories from deformations of theories with $W_n$ symmetry
• Correlator correspondences for subregular $\mathcal{W}$-algebras and principal $\mathcal{W}$-superalgebras