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This monograph provides the first up-to-date and self-contained
presentation of a recently discovered mathematical structure the
Schrodinger-Virasoro algebra. Just as Poincare 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
Schrodinger operators."
This monograph provides the first up-to-date and self-contained
presentation of a recently discovered mathematical structure-the
Schrodinger-Virasoro algebra. Just as Poincare 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
Schrodinger operators."
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