SO and USp Kähler and hyper-Kähler quotients and lumps

Minoru Eto, Toshiaki Fujimori, Sven Bjarke Gudnason, Muneto Nitta, Keisuke Ohashi

研究成果: Article査読

23 被引用数 (Scopus)

抄録

We study non-linear σ models whose target spaces are the Higgs phases of supersymmetric SO and USp gauge theories by using the Kähler and hyper-Kähler quotient constructions. We obtain the explicit Kähler potentials and develop an expansion formula to make use of the obtained potentials from which we also calculate the curvatures of the manifolds. The 1/2 BPS lumps in the U (1) × SO and U (1) × USp Kähler quotients and their effective descriptions are also studied. In this connection, a general relation between moduli spaces of vortices and lumps is discussed. We find a new singular limit of the lumps with non-vanishing sizes in addition to the ordinary small lump singularity. The former is due to the existence of singular submanifolds in the target spaces.

本文言語English
ページ(範囲)495-538
ページ数44
ジャーナルNuclear Physics B
815
3
DOI
出版ステータスPublished - 2009 7 11

ASJC Scopus subject areas

  • 核物理学および高エネルギー物理学

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