Logarithmic $\widehat{s\ell }(2)$ CFT models from Nichols algebras: I

DOI10.1088/1751-8113/46/49/494011zbMath1283.81113arXiv1301.2235OpenAlexW2153614124MaRDI QIDQ2871987

I. Yu. Tipunin, A. M. Semikhatov

Publication date: 14 January 2014

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

Full work available at URL: https://arxiv.org/abs/1301.2235

zbMATH Keywords

conformal field theoryisomorphismHamiltonian reductionChiral algebra

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (15)

Algebras of non-local screenings and diagonal Nichols algebras ⋮ A realization of certain modules for the \(N = 4\) superconformal algebra and the affine Lie algebra \(a_{2}^{(1)}\) ⋮ Logarithmic conformal field theories of type B n, ℓ = 4 and symplectic fermions ⋮ Rank 4 finite-dimensional Nichols algebras of diagonal type in positive characteristic ⋮ Bimodule structure of the mixed tensor product over \(\mathcal{U}_q s \ell(2 | 1)\) and quantum walled Brauer algebra ⋮ Quantum groups and Nichols algebras acting on conformal field theories ⋮ Centralizing the centralizers ⋮ On Neeman’s gradient flows ⋮ Finite Cartan graphs attached to Nichols algebras of diagonal type ⋮ A classification of Nichols algebras of semisimple Yetter-Drinfeld modules over non-abelian groups ⋮ Rank three Nichols algebras of diagonal type over arbitrary fields ⋮ The R-matrix of quantum doubles of Nichols algebras of diagonal type ⋮ Representations of U¯qsℓ(2|1) at even roots of unity ⋮ Virasoro Central Charges for Nichols Algebras ⋮ Partially dualized Hopf algebras have equivalent Yetter-Drinfel'd modules.

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