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Hashimoto, T.; Matsunaga, Mamoru; Yamamoto, Kimihisa

doi:10.1103/physrevd.87.077701

Cited by 1 publication

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“…In that case, h is the Lorentz algebra in three dimensions, h * is the algebra of three-dimensional translations, h h * is the algebra of isometries iso (1,2), and G h G h * is the isometry group ISO (1,2). Other forms of semidirect products, some involving finite groups, have been employed in various scenarios, including quantization of monopoles with nonabelian magnetic charges [3], neutrino mixing [4,5], and hypercharge quantization [6,7].…”

Section: Introductionmentioning

confidence: 99%

Yang–Mills theory for semidirect products $$\mathrm{G}\ltimes \mathfrak {g}^*$$ G ⋉ g ∗ and its instantons

Ruiz

2015

Eur. Phys. J. C

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Dedicated to Ramón F. Alvarez-Estrada on occasion of his 70th birthday Yang-Mills theory with a symmetry algebra that is the semidirect product h ⋉ h * defined by the coadjoint action of a Lie algebra h on its dual h * is studied. The gauge group is the semidirect product G h ⋉ h * , a noncompact group given by the coadjoint action on h * of the Lie group G h of h. For h simple, a method to construct the self-antiself dual instantons of the theory and their gauge nonequivalent deformations is presented. Every G h ⋉ h * instanton has an embedded G h instanton with the same instanton charge, in terms of which the construction is realized. As an example, h = su(2) and instanton charge one is considered. The gauge group is in this case SU(2) ⋉ R 3 . Explicit expressions for the selfdual connection, the zero modes and the metric and complex structures of the moduli space are given.

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Section: Introductionmentioning

confidence: 99%

Yang–Mills theory for semidirect products $$\mathrm{G}\ltimes \mathfrak {g}^*$$ G ⋉ g ∗ and its instantons

Ruiz

2015

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

Quantization of hypercharge in gauge groups locally isomorphic but globally nonisomorphic toSU(3)c×SU(

Cited by 1 publication

References 6 publications

Yang–Mills theory for semidirect products $$\mathrm{G}\ltimes \mathfrak {g}^*$$ G ⋉ g ∗ and its instantons

Yang–Mills theory for semidirect products $$\mathrm{G}\ltimes \mathfrak {g}^*$$ G ⋉ g ∗ and its instantons

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