FZZ-triality and large \(\mathcal{N} = 4\) super Liouville theory

DOI10.1016/j.nuclphysb.2022.115734zbMath1491.81025arXiv2111.12845OpenAlexW4221098821MaRDI QIDQ2122541

Publication date: 6 April 2022

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.12845

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Path integrals in quantum mechanics (81S40) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Mirror symmetry (algebro-geometric aspects) (14J33) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Cites Work

From world-sheet supersymmetry to super target spaces
Structure constants of the \(\mathrm{OSp}(1|2)\) WZNW model
Supergroup-extended super Liouville correspondence
The FZZ duality with boundary
Branes in the OSP\((1|2)\) WZNW model
\(N = 2\) Liouville theory with boundary
Vertex algebras at the corner
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\(W_n^{(n)}\) algebras
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Unitary representations of the Virasoro and super-Virasoro algebras
Correspondences between WZNW models and CFTs with \(W\)-algebra symmetry
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Two-dimensional black hole and singularities of CY manifolds
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\(W\)-algebras as coset vertex algebras
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Realisations of N=4 superconformal algebras on Wolf spaces
Semi-infinite cohomology and string theory
String theory and black holes
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\(\widehat{\text{sl}}(2|1)\) and \(\widehat{D}(2|1;\alpha)\) as vertex operator extensions of dual affine sl(2) algebras
A matrix model for the two-dimensional black hole

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