Overview
- First monographical account on newly discovered structures in mathematical physics
- Provides an up-to-date and self-contained presentation
- Connects various fields of applications in mathematical physics research
- Includes supplementary material: sn.pub/extras
Part of the book series: Theoretical and Mathematical Physics (TMP)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (11 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
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.
Reviews
From the reviews:
“This monograph presents an accurate and self-contained description of the so-called Schrödinger-Virasoro algebra … . this book constitutes an excellent report on the actual status of research concerning the Schrödinger-Virasoro group and its applications in physics. Many of the results presented are actually recent research results, and the conclusions open new and interesting possibilities for further applications. This monograph will certainly become one of the canonical references in the subject.” (Rutwig Campoamor-Stursberg, Zentralblatt MATH, Vol. 1237, 2012)
Authors and Affiliations
Bibliographic Information
Book Title: The Schrödinger-Virasoro Algebra
Book Subtitle: Mathematical structure and dynamical Schrödinger symmetries
Authors: Jérémie Unterberger, Claude Roger
Series Title: Theoretical and Mathematical Physics
DOI: https://doi.org/10.1007/978-3-642-22717-2
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2012
Hardcover ISBN: 978-3-642-22716-5Published: 26 October 2011
Softcover ISBN: 978-3-642-26959-2Published: 28 November 2013
eBook ISBN: 978-3-642-22717-2Published: 25 October 2011
Series ISSN: 1864-5879
Series E-ISSN: 1864-5887
Edition Number: 1
Number of Pages: XLII, 302
Topics: Mathematical Methods in Physics, Topological Groups, Lie Groups, Mathematical Physics, Category Theory, Homological Algebra, Complex Systems, Statistical Physics and Dynamical Systems