Effective theory on non-Abelian vortices in six dimensions

Minoru Eto; Muneto Nitta; Norisuke Sakai

doi:10.1016/j.nuclphysb.2004.09.003

Effective theory on non-Abelian vortices in six dimensions

Minoru Eto, Muneto Nitta, Norisuke Sakai

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

36 Citations (Scopus)

Abstract

Non-Abelian vortices in six spacetime dimensions are obtained for a supersymmetric U (N) gauge theory with N hypermultiplets in the fundamental representation. Massless (moduli) fields are identified and classified into Nambu-Goldstone and quasi-Nambu-Goldstone fields. Effective gauge theories for the moduli fields are constructed on the four-dimensional world volume of vortices. A systematic method to obtain the most general form of the effective Lagrangian consistent with symmetry is proposed. The moduli space for the multi-vortices is found to be a vector bundle over the complex Grassmann manifold.

Original language	English
Pages (from-to)	247-272
Number of pages	26
Journal	Nuclear Physics B
Volume	701
Issue number	1-2
DOIs	https://doi.org/10.1016/j.nuclphysb.2004.09.003
Publication status	Published - 2004 Nov 22
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.nuclphysb.2004.09.003

Cite this

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title = "Effective theory on non-Abelian vortices in six dimensions",

abstract = "Non-Abelian vortices in six spacetime dimensions are obtained for a supersymmetric U (N) gauge theory with N hypermultiplets in the fundamental representation. Massless (moduli) fields are identified and classified into Nambu-Goldstone and quasi-Nambu-Goldstone fields. Effective gauge theories for the moduli fields are constructed on the four-dimensional world volume of vortices. A systematic method to obtain the most general form of the effective Lagrangian consistent with symmetry is proposed. The moduli space for the multi-vortices is found to be a vector bundle over the complex Grassmann manifold.",

author = "Minoru Eto and Muneto Nitta and Norisuke Sakai",

note = "Funding Information: We would like to thank David Tong for a useful discussion. M.E. gratefully acknowledges support from the Iwanami Fujukai Foundation and from a 21st Century COE Program at Tokyo Tech “Nanometer-Scale Quantum Physics” by the Ministry of Education, Culture, Sports, Science and Technology. The work of M.N. is supported in part by JSPS. This work is supported in part by Grant-in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology, Japan Nos. 13640269 and 16028203 for the priority area “Origin of Mass” (N.S.).",

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doi = "10.1016/j.nuclphysb.2004.09.003",

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T1 - Effective theory on non-Abelian vortices in six dimensions

AU - Eto, Minoru

AU - Nitta, Muneto

AU - Sakai, Norisuke

N1 - Funding Information: We would like to thank David Tong for a useful discussion. M.E. gratefully acknowledges support from the Iwanami Fujukai Foundation and from a 21st Century COE Program at Tokyo Tech “Nanometer-Scale Quantum Physics” by the Ministry of Education, Culture, Sports, Science and Technology. The work of M.N. is supported in part by JSPS. This work is supported in part by Grant-in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology, Japan Nos. 13640269 and 16028203 for the priority area “Origin of Mass” (N.S.).

PY - 2004/11/22

Y1 - 2004/11/22

N2 - Non-Abelian vortices in six spacetime dimensions are obtained for a supersymmetric U (N) gauge theory with N hypermultiplets in the fundamental representation. Massless (moduli) fields are identified and classified into Nambu-Goldstone and quasi-Nambu-Goldstone fields. Effective gauge theories for the moduli fields are constructed on the four-dimensional world volume of vortices. A systematic method to obtain the most general form of the effective Lagrangian consistent with symmetry is proposed. The moduli space for the multi-vortices is found to be a vector bundle over the complex Grassmann manifold.

AB - Non-Abelian vortices in six spacetime dimensions are obtained for a supersymmetric U (N) gauge theory with N hypermultiplets in the fundamental representation. Massless (moduli) fields are identified and classified into Nambu-Goldstone and quasi-Nambu-Goldstone fields. Effective gauge theories for the moduli fields are constructed on the four-dimensional world volume of vortices. A systematic method to obtain the most general form of the effective Lagrangian consistent with symmetry is proposed. The moduli space for the multi-vortices is found to be a vector bundle over the complex Grassmann manifold.

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JO - Nuclear Physics B

JF - Nuclear Physics B

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Effective theory on non-Abelian vortices in six dimensions

Abstract

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