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The Schrödinger-Virasoro Algebra: Mathematical structure and dynamical Schrödinger symmetries (Theoretical and Mathematical Physics)


作者: Jérémie Unterberger,Claude Roger

日期: 01.01.2011

ISBN: 3642227163

页数: 344

语言: English

出版社: Springer

标签: 物理



The poster (email) is not available. 收藏推荐: Bookmark this: The Schr dinger Virasoro Algebra Mathematical structure and dynamical Schr dinger symmetries Theoretical and Mathematical Physics

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The Schr dinger Virasoro Algebra Mathematical structure and dynamical Schr dinger symmetries Theoretical and Mathematical Physics


The Schrödinger-Virasoro Algebra: Mathematical structure and dynamical Schrödinger symmetries By Jérémie Unterberger, Claude Roger

PUBLISHER: SP[RIN]GE\\R 2012 | 344 PAGES | ISBN: 3642227163 | PDF |1.92 MB



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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