Logarithmic extensions of minimal models: characters and modular transformations.
By B. Feigin, A. Gainutdinov, A. M. Semikhatov, I. Tipunin. 2006
171 citations recorded by the source corpus.
Abstract We study logarithmic conformal field models that extend the ( p , q ) Virasoro minimal models. For coprime positive integers p and q , the model is defined as the kernel of the two minimal-model screening operators. We identify the field content, construct the W -algebra W p , q that is the model symmetry (the maximal local algebra in the kernel), describe its irreducible modules, and find their characters. We then derive the SL ( 2 , Z ) -representation on the space of torus amplitudes and study its properties. From the action of the screenings, we also identify the quantum group that is Kazhdan–Lusztig-dual to the logarithmic model.
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/ff10fe386d970c98ab64d103ec0b3c8d6972eb4a
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In Algebra and Number Theory
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Citations in the corpus
- Logarithmic conformal field theory: beyond an introduction (2013, unknown): “The (1, p) triplet algebras were generalised to W ( q, p ) , with p,q ∈ Z+, p > q > 2, gcd{p,q} = 1 and c = 1− 6(p− q)/pq, in [114].”
- Logarithmic conformal field theory: a lattice approach (2013, methodology): “While the case of boundary LCFTs is thus slowly being brought under control, the understanding of the bulk case remains in its infancy.”