Solitons in supersymmetric gauge theories

M. Eto, Y. Isozumi, M. Nitta, K. Ohashi, N. Sakai

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Citations (Scopus)

Abstract

Recent results on BPS solitons in the Higgs phase of supersymmetric (SUSY) gauge theories with eight supercharges are reviewed. For U(NC) gauge theories with the NF(> NC) hypermultiplets in the fundamental representation, the total moduli space of walls are found to be the complex Grassmann manifold SU(NF)/[SU(NC) × SU(NF - NC) × U(1)]. The monopole in the Higgs phase has to accompany vortices, and preserves a 1/4 of SUSY. We find that walls are also allowed to coexist with them. We obtain all the solutions of such 1/4 BPS composite solitons in the strong coupling limit. Instantons in the Higgs phase is also obtained as 1/4 BPS states. As another instructive example, we take U(1) × U(1) gauge theories with four hypermultiplets. We find that the moduli space is the union of several special Lagrangian submanifolds of the Higgs branch vacua of the corresponding massless theory. We also observe transmutation of walls and repulsion and attraction of BPS walls. This is a review of recent works on the subject, which was given at the conference by N. Sakai.

Original languageEnglish
Title of host publicationPARTICLES, STRINGS, AND COSMOLOGY
Subtitle of host publication11th International Symposium on Particles, Strings, and Cosmology, PASCOS 2005
Pages266-272
Number of pages7
DOIs
Publication statusPublished - 2005 Dec 2
Externally publishedYes
Event11th International Symposium on Particles, Strings and Cosmology, PASCOS 2005 - Gyeongju, Korea, Republic of
Duration: 2005 May 302005 Jun 4

Publication series

NameAIP Conference Proceedings
Volume805
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other11th International Symposium on Particles, Strings and Cosmology, PASCOS 2005
CountryKorea, Republic of
CityGyeongju
Period05/5/3005/6/4

Keywords

  • Gauge theory
  • Moduli
  • Soliton
  • Supersymmetry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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