Titlebook: Lie Theory and Its Applications in Physics; IX International Wor Vladimir Dobrev Conference proceedings 2013 Springer Japan 2013 (Super-)Gr

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fringe

Conference proceedings 2013cal description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry which is very helpful in understanding its structure. Geometrisation and symmetries are meant in their broadest sense, i.e., classical geometry, differential geometry, groups a

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Wigner Quantization and Lie Superalgebra Representationsditions naturally lead to representations of the Lie superalgebra .. I shall also present some recent work in collaboration with G. Regniers, where generating functions techniques have been used in order to describe the energy and angular momentum contents of 3-dimensional Wigner quantum oscillators.

单独

Spontaneous Breaking of Supersymmetry, Localization and Nicolai Mapping in Matrix Modelsbreaking, which is analogous to the magnetic field in Ising model whose .. symmetry is spontaneously broken. Also, we discuss the SUSY breaking from the viewpoints of localization and Nicolai mapping, and find interesting localization phenomena specific to matrix models.

Irrepressible

From Singularities to Algebras to Pure Yang–Mills with Matterhat the uniqueness of the LATKe serves as a vacuum selection mechanism. We also show how the LATKe leads to a new kind of gauge theory in which the matter field arises naturally and which is tantalizingly close to the Standard Model of particle physics.

BUMP

From Palev’s Study of Wigner Quantum Systems to New Results on Sums of Schur Functionswn that the origin of these distinct restrictions on the size and number of parts of partitions can be traced back to the existence of certain Howe dual pairs of groups associated with the spin representation of .(2.+1) and the metaplectic representation of .(2.), respectively.

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Lightlike Braneworlds in Anti-de Sitter Bulk Space-Timesf-consistently occupied by the lightlike 3-brane as a direct result of its dynamics given by an explicit reparametrization-invariant world-volume Lagrangian action. The intrinsic world-volume metric on the 3-brane turns out to be flat, which allows its interpretation as a . braneworld.

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