$\mathcal {W}$-extended Kac representations and integrable boundary conditions in the logarithmic minimal models ${\mathcal{WLM}}(1,p)$

DOI10.1088/1751-8113/44/39/395205zbMath1270.81199arXiv1106.4893OpenAlexW2095297962MaRDI QIDQ3093728

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Publication date: 18 October 2011

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

Full work available at URL: https://arxiv.org/abs/1106.4893

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) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Operator algebra methods applied to problems in quantum theory (81R15) Yang-Baxter equations (16T25)

Related Items (4)

Fusion rules for the logarithmicN= 1 superconformal minimal models: I. The Neveu–Schwarz sector ⋮ Critical dense polymers with Robin boundary conditions, half-integer Kac labels and \(\mathbb{Z}_4\) fermions ⋮ Classification of Kac representations in the logarithmic minimal models \(LM(1,p)\) ⋮ Topologically massive higher spin gravity

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