The Schrödinger-Virasoro Algebra
Mathematical structure and dynamical Schrödinger symmetries
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.
| Autor: | Roger, Claude Unterberger, Jérémie |
|---|---|
| ISBN: | 9783642227165 |
| Sprache: | Englisch |
| Seitenzahl: | 302 |
| Produktart: | Gebunden |
| Verlag: | Springer Berlin |
| Veröffentlicht: | 26.10.2011 |
| Untertitel: | Mathematical structure and dynamical Schrödinger symmetries |
| Schlagworte: | Conformal field theory Dirac-Lévy-Leblond equation and operator Ermakov-Lewis invariants Infinite-dimensional Lie algebras Schrödinger-Virasoro algebra Schrödinger invariance, symmetry and Space-time symmetries in physics Spectral Theory of Schrödinger operators supersymmetry |
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