Topological Solitons and Non-perturbative Phenomena in Field Theory

2021 Fiscal Year Research-status Report

• Project/Area Number: 19K14713
• Research Institution: Keio University
• Principal Investigator: チャッタルジー チャンドラセカール 慶應義塾大学, 自然科学研究教育センター(日吉), 訪問研究員 (40837837)
• Project Period (FY): 2019-04-01 – 2023-03-31
• Keywords: topological solitons / vortices / cosmic strings / supersymmetry / superconductors / gauge theory

Outline of Annual Research Achievements

We have discussed what happens when a field that receives an Aharonov-Bohm (AB) phase develops a vacuum expectation value (VEV), using the
example of an Alice string in a U(1)×SU(2) gauge theory coupled with complex triplet scalar fields. We have introduced scalar fields belonging
to the doublet representation of SU(2), charged or neutral under the U(1) gauge symmetry, that receives an AB phase around the Alice string.
When the doublet develops a VEV, the Alice string becomes a global string in the absence of the interaction depending on the relative phase
between the doublet and triplet, while in the presence of such an interaction the Alice string is confined by a soliton or domain wall, and
therefore the spatial rotation around the string is spontaneously broken.

Current Status of Research Progress

3: Progress in research has been slightly delayed.

Reason

Because of Corona virus pandemic, collaborations cannot be done much.

Strategy for Future Research Activity

I will extend our result on Aharonov-Bohm defects of Alice strings to the case of magnetic monopoles.

Causes of Carryover

Because of the Corona virus pandemic, I could not use the grant.