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portada The Schrödinger-Virasoro Algebra: Mathematical Structure and Dynamical Schrödinger Symmetries (Theoretical and Mathematical Physics)
Type
Physical Book
Publisher
Author
Language
English
Format
Paperback
ISBN13
9783642269592

The Schrödinger-Virasoro Algebra: Mathematical Structure and Dynamical Schrödinger Symmetries (Theoretical and Mathematical Physics)

Jérémie Unterberger; Claude Roger (Author) · Springer Verlag Gmbh · Paperback

The Schrödinger-Virasoro Algebra: Mathematical Structure and Dynamical Schrödinger Symmetries (Theoretical and Mathematical Physics) - Jérémie Unterberger; Claude Roger

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Synopsis "The Schrödinger-Virasoro Algebra: Mathematical Structure and Dynamical Schrödinger Symmetries (Theoretical and Mathematical Physics)"

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.

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