Solitons in supersymmetric gauge theories

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

doi:10.1063/1.2149709

Solitons in supersymmetric gauge theories

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

Research output: Chapter in Book/Report/Conference proceeding › Conference 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(N_C) gauge theories with the N_F(> N_C) hypermultiplets in the fundamental representation, the total moduli space of walls are found to be the complex Grassmann manifold SU(N_F)/[SU(N_C) × SU(N_F - N_C) × 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 language	English
Title of host publication	PARTICLES, STRINGS, AND COSMOLOGY
Subtitle of host publication	11th International Symposium on Particles, Strings, and Cosmology, PASCOS 2005
Pages	266-272
Number of pages	7
DOIs	https://doi.org/10.1063/1.2149709
Publication status	Published - 2005 Dec 2
Externally published	Yes
Event	11th International Symposium on Particles, Strings and Cosmology, PASCOS 2005 - Gyeongju, Korea, Republic of Duration: 2005 May 30 → 2005 Jun 4

Publication series

Name	AIP Conference Proceedings
Volume	805
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Other

Other	11th International Symposium on Particles, Strings and Cosmology, PASCOS 2005
Country/Territory	Korea, Republic of
City	Gyeongju
Period	05/5/30 → 05/6/4

Keywords

Gauge theory
Moduli
Soliton
Supersymmetry

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1063/1.2149709

Cite this

Eto, M, Isozumi, Y, Nitta, M, Ohashi, K & Sakai, N 2005, Solitons in supersymmetric gauge theories. in PARTICLES, STRINGS, AND COSMOLOGY: 11th International Symposium on Particles, Strings, and Cosmology, PASCOS 2005. 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

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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.",

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year = "2005",

month = dec,

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T1 - Solitons in supersymmetric gauge theories

AU - Eto, M.

AU - Isozumi, Y.

AU - Nitta, M.

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

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Solitons in supersymmetric gauge theories

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