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The Schrödinger-Virasoro Algebra
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The Schrödinger-Virasoro Algebra

Mathematical structure and dynamical Schrödinger symmetries
 eBook
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ISBN-13:
9783642227172
Einband:
eBook
Seiten:
302
Autor:
Jérémie Unterberger
Serie:
Texts and Monographs in Physics Theoretical and Mathematical Physics
eBook Typ:
PDF
eBook Format:
PDF
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:

The first current, self-contained presentation of the newly discovered structure of the Schrödinger-Virasoro algebra, this book explains the role this algebra of non-relativistic conformal symmetries plays in some models of non-equilibrium statistical physics.
This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structurethe Schrödinger-Virasoro algebra. Just as Poincaré invariance or conformal (Virasoro) invariance play a key rôle 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 Schrödinger operators.