The Schrödinger-Virasoro Algebra
Mathematical structure and dynamical Schrödinger symmetries
Nonfiction, Science & Nature, Mathematics, Group Theory, Science, Physics, Mathematical Physics
| Author: | Jérémie Unterberger, Claude Roger | ISBN: | 9783642227172 |
| Publisher: | Springer Berlin Heidelberg | Publication: | October 25, 2011 |
| Imprint: | Springer | Language: | English |
| Author: | Jérémie Unterberger, Claude Roger |
| ISBN: | 9783642227172 |
| Publisher: | Springer Berlin Heidelberg |
| Publication: | October 25, 2011 |
| Imprint: | Springer |
| Language: | English |
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.
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.
