منابع مشابه
On the Consistency of Coset Space Dimensional Reduction
In this letter we consider higher-dimensional Yang–Mills theories and examine their consistent coset space dimensional reduction. Utilizing a suitable ansatz and imposing a simple set of constraints we determine the four-dimensional gauge theory obtained from the reduction of both the higher-dimensional Lagrangian and the corresponding equations of motion. The two reductions yield equivalent re...
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Super coset spaces play an important role in the formulation of supersymmetric theories. The aim of this paper is to review and discuss the geometry of super coset spaces with particular focus on the way the geometrical structures of the super coset space G/H are inherited from the super Lie group G. The isometries of the super coset space are discussed and a definition of Killing supervectors ...
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Geometric quantization on a coset space G/H is considered, intending to recover Mackey’s inequivalent quantizations. It is found that the inequivalent quantizations can be obtained by adopting the symplectic 2-form which leads to Wong’s equation. The irreducible representations of H which label the inequivalent quantizations arise from Weil’s theorem, which ensures a Hermitian bundle over G/H t...
متن کاملThe dynamics of coset dimensional reduction
The evolution of multiple scalar fields in cosmology has been much studied, particularly when the potential is formed from a series of exponentials. For a certain subclass of such systems it is possible to get “assisted“ behaviour, where the presence of multiple terms in the potential effectively makes it shallower than the individual terms indicate. It is also known that when compactifying on ...
متن کاملThe dynamics of coset dimensional reduction . Josef
The evolution of multiple scalar fields in cosmology has been much studied, particularly when the potential is formed from a series of exponentials. For a certain subclass of such systems it is possible to get “assisted“ behaviour, where the presence of multiple terms in the potential effectively makes it shallower than the individual terms indicate. It is also known that when compactifying on ...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2020
ISSN: 1029-8479
DOI: 10.1007/jhep10(2020)198