TY - JOUR

T1 - BPS pion domain walls in the supersymmetric chiral Lagrangian

AU - Gudnason, Sven Bjarke

AU - Nitta, Muneto

AU - Sasaki, Shin

N1 - Funding Information:
The work of M.N. is supported in part by a Grant-in-Aid for Scientific Research on Innovative Areas Topological Materials Science (KAKENHI Grant No. 15H05855) and Nuclear Matter in Neutron Stars Investigated by Experiments and Astronomical Observations (KAKENHI Grant No.15H00841) from the Ministry of Education, Culture, Sports, Science (MEXT) of Japan. The work of M.N. is also supported in part by the Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research (KAKENHI Grant No.25400268) and by the MEXT-Supported Program for the Strategic Research Foundation at Private Universities Topological Science (Grant No.S1511006). The work of S.S. is supported in part by Kitasato University Research Grant for Young Researchers.
Publisher Copyright:
© 2016 American Physical Society.

PY - 2016/7/5

Y1 - 2016/7/5

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84978419910&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84978419910&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.94.025003

DO - 10.1103/PhysRevD.94.025003

M3 - Article

AN - SCOPUS:84978419910

SN - 2470-0010

VL - 94

JO - Physical Review D

JF - Physical Review D

IS - 2

M1 - 025003

ER -