On vertex algebra representations of the Schrödinger-Virasoro Lie algebra

DOI10.1016/j.nuclphysb.2009.06.018zbMath1196.81209arXivcond-mat/0703214OpenAlexW2076407737MaRDI QIDQ1960129

Jérémie M. Unterberger

Publication date: 12 October 2010

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0703214

zbMATH Keywords

correlation functionssupersymmetryinfinite-dimensional Lie algebrasalgebraic structure of integrable modelsconformal field-theorySchrödinger-invariancenon-equilibrium statistical physics

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (21)

Schrödinger-Virasoro Lie conformal algebras ⋮ 2-Cocycles of Twisted Deformative Schrödinger–Virasoro Algebras ⋮ Lie bialgebra structures on the deformative Schrödinger-Virasoro algebras ⋮ On certain generalizations of the Schrödinger-Virasoro algebra ⋮ A family of new simple modules over the Schrödinger-Virasoro algebra ⋮ -(bi)derivations and transposed Poisson algebra structures on Lie algebras ⋮ Irreducible representations of finite Lie conformal algebras of planar Galilean type ⋮ Schrödinger-Virasoro type Lie bialgebra: a twisted case ⋮ Bell-polynomial approach and soliton solutions for the Zhiber-Shabat equation and (2+1)-dimensional Gardner equation with symbolic computation ⋮ Structures of the twisted N = 1 Schrödinger–Neveu–Schwarz algebra ⋮ On irreducible representations of a certain subalgebra of extended Schrödinger-Virasoro Lie algebra ⋮ Schrödinger-Virasoro Lie conformal algebra ⋮ NONRELATIVISTIC HOLOGRAPHY — A GROUP-THEORETICAL PERSPECTIVE ⋮ Classification of Indecomposable Modules of the Intermediate Series over Deformative Schrödinger-Virasoro Lie Algebras ⋮ Graded post-Lie algebra structures and homogeneous Rota-Baxter operators on the Schrödinger-Virasoro algebra ⋮ Lie Bialgebra Structures on the Extended Schrödinger-Virasoro Lie Algebra ⋮ Biderivations And Linear Commuting Maps on the Schrödinger-Virasoro Lie Algebra ⋮ Biderivations and commutative post-Lie algebra structure on Schrödinger-Virasoro Lie algebras ⋮ Whittaker modules for the Schrödinger–Witt algebra ⋮ Central Extensions and Derivations of Generalized Schrödinger-Virasoro Algebras ⋮ Derivations and Automorphisms of Twisted Deformative Schrödinger–Virasoro Lie Algebras

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