TY - JOUR

T1 - Emergent discrete 3-form symmetry and domain walls

AU - Hidaka, Yoshimasa

AU - Nitta, Muneto

AU - Yokokura, Ryo

N1 - Funding Information:
R.Y. thanks Toshiaki Fujimori, Tatsuhiro Misumi, and Kazuya Yonekura for helpful discussions. The discussions during the KEK Theory Workshop 2019 were useful in completing this work. The work of Y.H. is supported in part by Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research (KAKENHI Grants No. 16K17716, 17H06462, and 18H01211), by RIKEN iTHEMS. This work of M.N. was supported by the Ministry of Education, Culture, Sports, Science (MEXT)-Supported Program for the Strategic Research Foundation at Private Universities ?Topological Science? (Grant No. S1511006). This work of M.N. is also supported in part by JSPS KAKENHI Grant Numbers 16H03984, and 18H01217. The work of M.N. is also supported in part by a Grant-in-Aid for Scientific Research on Innovative Areas ?Topological Materials Science? (KAKENHI Grant No. 15H05855) from MEXT of Japan.
Funding Information:
R.Y. thanks Toshiaki Fujimori, Tatsuhiro Misumi, and Kazuya Yonekura for helpful discussions. The discussions during the KEK Theory Workshop 2019 were useful in completing this work. The work of Y.H. is supported in part by Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research (KAKENHI Grants No. 16K17716 , 17H06462 , and 18H01211 ), by RIKEN iTHEMS. This work of M.N. was supported by the Ministry of Education, Culture, Sports, Science ( MEXT )-Supported Program for the Strategic Research Foundation at Private Universities “Topological Science” (Grant No. S1511006 ). This work of M.N. is also supported in part by JSPS KAKENHI Grant Numbers 16H03984 , and 18H01217 . The work of M.N. is also supported in part by a Grant-in-Aid for Scientific Research on Innovative Areas “Topological Materials Science” (KAKENHI Grant No. 15H05855 ) from MEXT of Japan.
Publisher Copyright:
© 2020 The Authors

PY - 2020/4/10

Y1 - 2020/4/10

N2 - We show that axion models with the domain wall number k in (3+1) dimensions, i.e., periodic scalar field theories admitting k axion domain walls, exhibit an emergent Zk 3-form symmetry for k>1 in addition to a conventional Zk 0-form symmetry. The emergent 3-form symmetry is explicitly shown by establishing a low-energy dual transformation between the scalar field theory and a 3-form gauge theory. We further argue that the emergent 3-form symmetry is spontaneously broken, and the breaking pattern is so-called the type-B spontaneous symmetry breaking. We discuss similar and different points between the phase admitting the domain walls and topologically ordered phases.

AB - We show that axion models with the domain wall number k in (3+1) dimensions, i.e., periodic scalar field theories admitting k axion domain walls, exhibit an emergent Zk 3-form symmetry for k>1 in addition to a conventional Zk 0-form symmetry. The emergent 3-form symmetry is explicitly shown by establishing a low-energy dual transformation between the scalar field theory and a 3-form gauge theory. We further argue that the emergent 3-form symmetry is spontaneously broken, and the breaking pattern is so-called the type-B spontaneous symmetry breaking. We discuss similar and different points between the phase admitting the domain walls and topologically ordered phases.

UR - http://www.scopus.com/inward/record.url?scp=85079433862&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85079433862&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2020.135290

DO - 10.1016/j.physletb.2020.135290

M3 - Article

AN - SCOPUS:85079433862

VL - 803

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

M1 - 135290

ER -