SO and USp Kähler and hyper-Kähler quotients and lumps

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

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)495-538
Number of pages44
JournalNuclear Physics B
Issue number3
Publication statusPublished - 2009 Jul 11

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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