Global structure of moduli space for BPS walls

Minoru Eto, Youichi Isozum, Muneto Nitta, Keisuke Ohashi, Kazutoshi Ohta, Norisuke Sakai, Yuji Tachikawa

Research output: Contribution to journalArticle

48 Citations (Scopus)

Abstract

We study the global structure of the moduli space of BPS walls in the Higgs branch of supersymmetric theories with eight supercharges. We examine the structure in the neighborhood of a special Lagrangian submanifold M, and find that the dimension of the moduli space can be larger than that naively suggested by the index theorem, contrary to previous examples of BPS solitons. We investigate BPS wall solutions in an explicit example of M using Abelian gauge theory. Its Higgs branch turns out to contain several special Lagrangian submanifolds including M. We show that the total moduli space of BPS walls is the union of these submanifolds. We also find interesting dynamics between BPS walls as a by-product of the analysis. Namely, mutual repulsion and attraction between BPS walls sometimes forbid a movement of a wall and lock it in a certain position; we also find that a pair of walls can transmute to another pair of walls with different tension after they pass through.

Original languageEnglish
Article number105009
Pages (from-to)1-22
Number of pages22
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume71
Issue number10
Publication statusPublished - 2005 May 15
Externally publishedYes

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unions
attraction
gauge theory
theorems
solitary waves

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Eto, M., Isozum, Y., Nitta, M., Ohashi, K., Ohta, K., Sakai, N., & Tachikawa, Y. (2005). Global structure of moduli space for BPS walls. Physical Review D - Particles, Fields, Gravitation and Cosmology, 71(10), 1-22. [105009].

Global structure of moduli space for BPS walls. / Eto, Minoru; Isozum, Youichi; Nitta, Muneto; Ohashi, Keisuke; Ohta, Kazutoshi; Sakai, Norisuke; Tachikawa, Yuji.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 71, No. 10, 105009, 15.05.2005, p. 1-22.

Research output: Contribution to journalArticle

Eto, M, Isozum, Y, Nitta, M, Ohashi, K, Ohta, K, Sakai, N & Tachikawa, Y 2005, 'Global structure of moduli space for BPS walls', Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 71, no. 10, 105009, pp. 1-22.
Eto M, Isozum Y, Nitta M, Ohashi K, Ohta K, Sakai N et al. Global structure of moduli space for BPS walls. Physical Review D - Particles, Fields, Gravitation and Cosmology. 2005 May 15;71(10):1-22. 105009.
Eto, Minoru ; Isozum, Youichi ; Nitta, Muneto ; Ohashi, Keisuke ; Ohta, Kazutoshi ; Sakai, Norisuke ; Tachikawa, Yuji. / Global structure of moduli space for BPS walls. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 2005 ; Vol. 71, No. 10. pp. 1-22.
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