BPS pion domain walls in the supersymmetric chiral Lagrangian

Sven Bjarke Gudnason, Muneto Nitta, Shin Sasaki

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Abstract

We construct exact solutions of BPS pion domain walls in the four-dimensional N=1 supersymmetric SU(N) chiral Lagrangian with pion masses introduced via linear and quadratic superpotentials. The model admits N discrete vacua in the center of SU(N) for the linear superpotential. In addition to the latter, new vacua appear for the quadratic superpotential. We find that the domain wall solutions of pions (Nambu-Goldstone bosons) that interpolate between a pair of (pion) vacua preserve half of supersymmetry. Contrary to our expectations, we have not been able to find domain walls involving the quasi-Nambu-Goldstone bosons present in the theory, which in turn has the consequence that not all vacua of the theory are connected by a BPS domain wall solution.

Original languageEnglish
Article number025003
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume94
Issue number2
DOIs
Publication statusPublished - 2016 Jul 5

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domain wall
pions
bosons
supersymmetry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

BPS pion domain walls in the supersymmetric chiral Lagrangian. / Gudnason, Sven Bjarke; Nitta, Muneto; Sasaki, Shin.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 94, No. 2, 025003, 05.07.2016.

Research output: Contribution to journalArticle

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