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The Schrödinger-Virasoro Algebra

Mathematical structure and dynamical Schrödinger symmetries

Springer Berlin,
Buch
85,55 € Lieferbar in 5-7 Tagen
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Kurzbeschreibung

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.

Details
Schlagworte
Hauptbeschreibung

Titel: The Schrödinger-Virasoro Algebra
Autoren/Herausgeber: Jérémie Unterberger, Claude Roger
Aus der Reihe: Theoretical and Mathematical Physics
Ausgabe: 2012

ISBN/EAN: 9783642227165

Seitenzahl: 302
Format: 23,5 x 15,5 cm
Produktform: Hardcover/Gebunden
Gewicht: 678 g
Sprache: Englisch

This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structure—the 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.

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