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The Schroedinger-Virasoro Algebra

The Schroedinger-Virasoro Algebra

Mathematical structure and dynamical Schroedinger symmetries

by Claude Roger and Jeremie Unterberger
Paperback
Publication Date: 28/11/2013
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This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structure-the Schroedinger-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 Schroedinger operators.
ISBN:
9783642269592
9783642269592
Category:
Mathematical physics
Format:
Paperback
Publication Date:
28-11-2013
Language:
English
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Country of origin:
Germany
Pages:
302
Dimensions (mm):
235x155x18mm
Weight:
0.53kg

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