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Author Unterberger, Jérémie.
Title The Schrodinger-Virasoro algebra : mathematical structure and dynamical Schrodinger symmetries / by Jeremie Unterberger, Claude Roger ; with a foreword by Malte Henkel.
Imprint Heidelberg ; New York : Springer-Verlag Berlin Heidelberg, 2012.

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Author Unterberger, Jérémie.
Series Theoretical and mathematical physics, 1864-5879
Theoretical and mathematical physics.
Theoretical and mathematical physics (Springer (Firm))
Subject Lie algebras.
Symmetry (Physics)
Space and time.
Alt Name Roger, Claude.
Description 1 online resource (xlii, 302 pages).
polychrome rdacc
Bibliography Note Includes bibliographical references (pages 293-297) and index.
Contents Introduction -- Geometric Definitions of SV -- Basic Algebraic and Geometric Features -- Coadjoint Representaion -- Induced Representations and Verma Modules -- Coinduced Representations -- Vertex Representations -- Cohomology, Extensions and Deformations -- Action of sv on Schrodinger and Dirac Operators -- Monodromy of Schrodinger Operators -- Poisson Structures and Schrodinger Operators -- Supersymmetric Extensions of sv -- Appendix to chapter 6 -- Appendix to chapter 11 -- Index.
Summary This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structure-the Schrodinger-Virasoro algebra. Just as Poincare invariance or conformal (Virasoro) invariance play a key role in understanding, respectively, elementary particles and two-dimensional equilibrium statistical physics, this algebra of non-relativistic conformal symmetries may be expected to apply itself naturally to the study of some models of non-equilibrium statistical physics, or more specifically in the context of recent developments related to the non-relativistic AdS/CFT correspondence. The study of the structure of this infinite-dimensional Lie algebra touches upon topics as various as statistical physics, vertex algebras, Poisson geometry, integrable systems and supergeometry as well as representation theory, the cohomology of infinite-dimensional Lie algebras, and the spectral theory of Schrodinger operators.
Note Print version record.
ISBN 9783642227172 (electronic bk.)
3642227171 (electronic bk.)
ISBN/ISSN 10.1007/978-3-642-22717-2
OCLC # 759858887
Additional Format Print version: Unterberger, Jeremie. Schrodinger-Virasoro algebra. Heidelberg ; New York : Springer-Verlag Berlin Heidelberg, 2012 9783642227172

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