Fusion transformations in Liouville theory

DOI10.1134/S0040577916110040zbMath1361.81139OpenAlexW2559825008MaRDI QIDQ520978

N. A. Nemkov

Publication date: 6 April 2017

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577916110040

zbMATH Keywords

conformal field theoryVirasoro algebraLiouville theory

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Discrete version of topics in analysis (39A12) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items

Check-operators and quantum spectral curves ⋮ On new exact conformal blocks and Nekrasov functions ⋮ Decomposing Nekrasov decomposition ⋮ On modular transformations of toric conformal blocks ⋮ The Virasoro fusion kernel and Ruijsenaars' hypergeometric function ⋮ Matching branches of a nonperturbative conformal block at its singularity divisor ⋮ A slow review of the AGT correspondence

Cites Work

• Modular anomaly equation, heat kernel and S-duality in \( \mathcal{N}=2 \) theories
• Painlevé VI connection problem and monodromy of \(c\)\ =\ 1 conformal blocks
• Classical and quantum conformal field theory
• Infinite conformal symmetry in two-dimensional quantum field theory
• S-duality as a \(\beta\)-deformed Fourier transform
• Liouville correlation functions from four-dimensional gauge theories
• S-duality as Fourier transform for arbitrary ϵ₁, ϵ₂
• Clebsch-Gordan and Racah-Wigner coefficients for a continuous series of representations of \(\mathcal U_q(\mathfrak{sl}(2,\mathbb R))\)
• Unnamed Item