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The Schrodinger-Virasoro Algebra : Mathematical structure and dynamical Schrodinger symmetries PDF
by Jeremie Unterberger, Claude Roger
Part of the Theoretical and Mathematical Physics series
Description
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.
Information
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Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:25/10/2011
- Category:
- ISBN:9783642227172
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:25/10/2011
- Category:
- ISBN:9783642227172