Non-Abelian walls in supersymmetric gauge theories

Youichi Isozumi; Muneto Nitta; Keisuke Ohashi; Norisuke Sakai

doi:10.1103/PhysRevD.70.125014

Non-Abelian walls in supersymmetric gauge theories

Youichi Isozumi, Muneto Nitta, Keisuke Ohashi, Norisuke Sakai

Research output: Contribution to journal › Article › peer-review

110 Citations (Scopus)

Abstract

The Bogomol'nyi-Prasad-Sommerfield (BPS) multiwall solutions are constructed in supersymmetric U(N_C) gauge theories in five dimensions with N_F(>N_C) hypermultiplets in the fundamental representation. Exact solutions are obtained with full generic moduli for infinite gauge coupling and with partial moduli for finite gauge coupling. The generic wall solutions require nontrivial configurations for either gauge fields or off diagonal components of adjoint scalars depending on the gauge. Effective theories of moduli fields are constructed as world volume gauge theories. Nambu-Goldstone and quasi-Nambu-Goldstone scalars are distinguished and worked out Total moduli space of the BPS non-Abelian walls including all topological sectors is found to be the complex Grassmann manifold SU(N_F)/ [SU(N_C) × SU(N_F - N_C) × U(1)] endowed with a deformed metric.

Original language	English
Article number	125014
Pages (from-to)	125014-1-125014-38
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	70
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevD.70.125014
Publication status	Published - 2004 Dec
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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title = "Non-Abelian walls in supersymmetric gauge theories",

abstract = "The Bogomol'nyi-Prasad-Sommerfield (BPS) multiwall solutions are constructed in supersymmetric U(NC) gauge theories in five dimensions with NF(>NC) hypermultiplets in the fundamental representation. Exact solutions are obtained with full generic moduli for infinite gauge coupling and with partial moduli for finite gauge coupling. The generic wall solutions require nontrivial configurations for either gauge fields or off diagonal components of adjoint scalars depending on the gauge. Effective theories of moduli fields are constructed as world volume gauge theories. Nambu-Goldstone and quasi-Nambu-Goldstone scalars are distinguished and worked out Total moduli space of the BPS non-Abelian walls including all topological sectors is found to be the complex Grassmann manifold SU(NF)/ [SU(NC) × SU(NF - NC) × U(1)] endowed with a deformed metric.",

author = "Youichi Isozumi and Muneto Nitta and Keisuke Ohashi and Norisuke Sakai",

note = "Funding Information: ?>The authors thank David Tong for useful discussion and Masato Arai for a collaboration at an early stage. This work is supported in part by Grant-in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science, and Technology, Japan, No. 13640269 (NS and MN) and No. 16028203 for the priority area “origin of mass” (NS). The works of K. O. and M. N. are supported by Japan Society for the Promotion of Science under the Post-doctoral Research Program. One of the authors (Y. I.) gratefully acknowledges support from a 21st Century COE Program at Tokyo Tech “Nanometer-Scale Quantum Physics” by the Ministry of Education, Culture, Sports, Science, and Technology.",

year = "2004",

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doi = "10.1103/PhysRevD.70.125014",

language = "English",

volume = "70",

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N2 - The Bogomol'nyi-Prasad-Sommerfield (BPS) multiwall solutions are constructed in supersymmetric U(NC) gauge theories in five dimensions with NF(>NC) hypermultiplets in the fundamental representation. Exact solutions are obtained with full generic moduli for infinite gauge coupling and with partial moduli for finite gauge coupling. The generic wall solutions require nontrivial configurations for either gauge fields or off diagonal components of adjoint scalars depending on the gauge. Effective theories of moduli fields are constructed as world volume gauge theories. Nambu-Goldstone and quasi-Nambu-Goldstone scalars are distinguished and worked out Total moduli space of the BPS non-Abelian walls including all topological sectors is found to be the complex Grassmann manifold SU(NF)/ [SU(NC) × SU(NF - NC) × U(1)] endowed with a deformed metric.

AB - The Bogomol'nyi-Prasad-Sommerfield (BPS) multiwall solutions are constructed in supersymmetric U(NC) gauge theories in five dimensions with NF(>NC) hypermultiplets in the fundamental representation. Exact solutions are obtained with full generic moduli for infinite gauge coupling and with partial moduli for finite gauge coupling. The generic wall solutions require nontrivial configurations for either gauge fields or off diagonal components of adjoint scalars depending on the gauge. Effective theories of moduli fields are constructed as world volume gauge theories. Nambu-Goldstone and quasi-Nambu-Goldstone scalars are distinguished and worked out Total moduli space of the BPS non-Abelian walls including all topological sectors is found to be the complex Grassmann manifold SU(NF)/ [SU(NC) × SU(NF - NC) × U(1)] endowed with a deformed metric.

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Non-Abelian walls in supersymmetric gauge theories

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