The Schrödinger-Virasoro Algebra

Mathematical structure and dynamical Schrödinger symmetries

von Jérémie Unterberger, Claude Roger

302 Seiten, Hardcover

Kurzbeschreibung des Verlags

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.

• Reihe: Theoretical and Mathematical Physics
• ISBN: 9783642227165
• Sprache: Englisch
• Erscheinungsdatum: 26.10.2011
• Genre: Physik, Astronomie/Theoretische Physik
• Verlag: Springer Berlin