The Schrödinger-Virasoro Algebra: Mathematical structure and dynamical Schrödinger symmetries (Theoretical and Mathematical Physics) by Jérémie Unterberger, Claude Roger
The Schrödinger-Virasoro Algebra: Mathematical structure and dynamical Schrödinger symmetries (Theoretical and Mathematical Physics) by Jérémie Unterberger, Claude Roger PDF, ePub eBook D0wnl0ad
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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