Solitons in supersymmetric gauge theories

M. Eto, Y. Isozumi, Muneto 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 publicationAIP Conference Proceedings
Pages266-272
Number of pages7
Volume805
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

Other

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

Fingerprint

gauge theory
solitary waves
unions
transmutation
instantons
monopoles
attraction
vortices
composite materials

Keywords

  • Gauge theory
  • Moduli
  • Soliton
  • Supersymmetry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Eto, M., Isozumi, Y., Nitta, M., Ohashi, K., & Sakai, N. (2005). Solitons in supersymmetric gauge theories. In AIP Conference Proceedings (Vol. 805, pp. 266-272) https://doi.org/10.1063/1.2149709

Solitons in supersymmetric gauge theories. / Eto, M.; Isozumi, Y.; Nitta, Muneto; Ohashi, K.; Sakai, N.

AIP Conference Proceedings. Vol. 805 2005. p. 266-272.

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

Eto, M, Isozumi, Y, Nitta, M, Ohashi, K & Sakai, N 2005, Solitons in supersymmetric gauge theories. in AIP Conference Proceedings. vol. 805, pp. 266-272, 11th International Symposium on Particles, Strings and Cosmology, PASCOS 2005, Gyeongju, Korea, Republic of, 05/5/30. https://doi.org/10.1063/1.2149709
Eto M, Isozumi Y, Nitta M, Ohashi K, Sakai N. Solitons in supersymmetric gauge theories. In AIP Conference Proceedings. Vol. 805. 2005. p. 266-272 https://doi.org/10.1063/1.2149709
Eto, M. ; Isozumi, Y. ; Nitta, Muneto ; Ohashi, K. ; Sakai, N. / Solitons in supersymmetric gauge theories. AIP Conference Proceedings. Vol. 805 2005. pp. 266-272
@inproceedings{5d689f11b277404594495f0494c89a77,
title = "Solitons in supersymmetric gauge theories",
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.",
keywords = "Gauge theory, Moduli, Soliton, Supersymmetry",
author = "M. Eto and Y. Isozumi and Muneto Nitta and K. Ohashi and N. Sakai",
year = "2005",
month = "12",
day = "2",
doi = "10.1063/1.2149709",
language = "English",
isbn = "0735402957",
volume = "805",
pages = "266--272",
booktitle = "AIP Conference Proceedings",

}

TY - GEN

T1 - Solitons in supersymmetric gauge theories

AU - Eto, M.

AU - Isozumi, Y.

AU - Nitta, Muneto

AU - Ohashi, K.

AU - Sakai, N.

PY - 2005/12/2

Y1 - 2005/12/2

N2 - 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.

AB - 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.

KW - Gauge theory

KW - Moduli

KW - Soliton

KW - Supersymmetry

UR - http://www.scopus.com/inward/record.url?scp=33646384017&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33646384017&partnerID=8YFLogxK

U2 - 10.1063/1.2149709

DO - 10.1063/1.2149709

M3 - Conference contribution

AN - SCOPUS:33646384017

SN - 0735402957

SN - 9780735402959

VL - 805

SP - 266

EP - 272

BT - AIP Conference Proceedings

ER -