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The Schrödinger-Virasoro Algebra: Mathematical Structure and Dynamical Schrödinger Symmetries
Hardcover
Series: Theoretical and Mathematical Physics, Book 0
AlgebraGeneral MathematicsPhysics
ISBN13: 9783642227165
Publisher: Springer
Published: Oct 26 2011
Pages: 302
Weight: 1.45
Height: 0.81 Width: 6.14 Depth: 9.21
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.
1 different editions
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The Schrödinger-Virasoro Algebra: Mathematical Structure and Dynamical Schrödinger Symmetries
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