Logarithmic extensions of minimal models: characters and modular transformations

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dc.creatorFeigin, BL
dc.creatorGainutdinov, AM
dc.creatorSemikhatov, AM
dc.creatorTipunin, IYu
dc.date2006-06-20
dc.date2006-09-24
dc.date.accessioned2026-07-07T11:06:43Z
dc.date.available2026-07-07T11:06:43Z
dc.descriptionWe 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.
dc.description43pp., AMSLaTeX++. V3: Some explanatory comments added, notational inaccuracies corrected, references added
dc.identifierhttps://arxiv.org/abs/hep-th/0606196
dc.identifierhttp://arxiv.org/abs/hep-th/0606196
dc.identifierNucl.Phys.B757:303-343,2006
dc.identifierdoi:10.1016/j.nuclphysb.2006.09.019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189610
dc.subjectHigh Energy Physics - Theory
dc.subjectMesoscale and Nanoscale Physics
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleLogarithmic extensions of minimal models: characters and modular transformations
dc.typetext

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