Construction of non-Abelian walls and their complete moduli space

Youichi Isozumi; Muneto Nitta; Keisuke Ohashi; Norisuke Sakai

doi:10.1103/PhysRevLett.93.161601

Construction of non-Abelian walls and their complete moduli space

Youichi Isozumi, Muneto Nitta, Keisuke Ohashi, Norisuke Sakai

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

120 Citations (Scopus)

Abstract

A systematic method developed to construct an all Bogomol'nyi-Prasad- Sommerfield multiwall solutions in supersymmetric U(N_c) gage theory in five dimensions was discussed. The method was constructed with N_F hypermultiplets in the fundamental representation for infinite age coupling. It was found that the complete moduli space for non-Abelian walls filled the gap in soliton moduli spaces in the gage-Higgs system. The results show that the total moduli space for the non-Abelian walls was a deformed Grassmann manifold.

Original language	English
Article number	161601
Pages (from-to)	161601-1-161601-4
Journal	Physical review letters
Volume	93
Issue number	16
DOIs	https://doi.org/10.1103/PhysRevLett.93.161601
Publication status	Published - 2004 Oct 15
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1103/PhysRevLett.93.161601

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abstract = "A systematic method developed to construct an all Bogomol'nyi-Prasad- Sommerfield multiwall solutions in supersymmetric U(Nc) gage theory in five dimensions was discussed. The method was constructed with NF hypermultiplets in the fundamental representation for infinite age coupling. It was found that the complete moduli space for non-Abelian walls filled the gap in soliton moduli spaces in the gage-Higgs system. The results show that the total moduli space for the non-Abelian walls was a deformed Grassmann manifold.",

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 Nos. 13640269 and 16028203 (N. S. and M. N.). K. O. and M. N. are supported in part by JSPS and Y. I., a 21st Century COE Program at Tokyo Tech “Nanometer-Scale Quantum Physics”.",

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AU - Nitta, Muneto

AU - Ohashi, Keisuke

AU - Sakai, Norisuke

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AB - A systematic method developed to construct an all Bogomol'nyi-Prasad- Sommerfield multiwall solutions in supersymmetric U(Nc) gage theory in five dimensions was discussed. The method was constructed with NF hypermultiplets in the fundamental representation for infinite age coupling. It was found that the complete moduli space for non-Abelian walls filled the gap in soliton moduli spaces in the gage-Higgs system. The results show that the total moduli space for the non-Abelian walls was a deformed Grassmann manifold.

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Construction of non-Abelian walls and their complete moduli space

Abstract

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