1 option
The Schrodinger-Virasoro algebra : mathematical structure and dynamical Schrodinger symmetrics / Jeremie Unterberger, Claude Roger ; with a foreword by Malte Henkel.
Springer Nature - Springer Physics and Astronomy eBooks 2012 English International Available online
View online- Format:
- Book
- Author/Creator:
- Unterberger, Jérémie.
- Series:
- Theoretical and mathematical physics (Springer (Firm))
- Theoretical and mathematical physics, 1864-5879
- Language:
- English
- Subjects (All):
- Schrödinger equation.
- Algebra.
- Schrödinger operator.
- Physical Description:
- 1 online resource (333 p.)
- Edition:
- 1st ed. 2012.
- Place of Publication:
- Berlin : Springer, 2012.
- Language Note:
- English
- Summary:
- 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 role 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. .
- Contents:
- Introduction
- Geometric Definitions of SV
- Basic Algebraic and Geometric Features
- Coadjoint Representation
- Induced Representations and Verma Modules
- Coinduced Representations
- Vertex Representations
- Cohomology, Extensions and Deformations
- Action of sv on Schrödinger and Dirac Operators
- Monodromy of Schrödinger Operators
- Poisson Structures and Schrödinger Operators
- Supersymmetric Extensions of sv
- Appendix to chapter 6
- Appendix to chapter 11
- Index.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and index.
- ISBN:
- 1-283-45174-3
- 9786613451743
- 3-642-22717-1
- OCLC:
- 780413396
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.