TY - JOUR

T1 - Non-Abelian Alice strings in two-flavor dense QCD

AU - Fujimoto, Yuki

AU - Nitta, Muneto

N1 - Funding Information:
We thank Shigehiro Yasui for a discussion at the early stage of this work. Y. F. thanks Kenji Fukushima for reading the manuscript and comments. This work is supported in part by Grant-in-Aid for Scientific Research, JSPS KAKENHI Grants No. JP20J10506 (Y. F.) and No. JP18H01217 (M. N.).
Publisher Copyright:
© 2021 authors. Published by the American Physical Society.

PY - 2021/3/1

Y1 - 2021/3/1

N2 - Quark-hadron continuity with two-flavor quarks that was proposed recently connects hadronic matter with neutron P23 superfluidity and two-flavor dense quark matter. This two-flavor dense quark phase consists of the coexistence of the 2SC condensates and the P-wave diquark condensates of d-quarks, which gives rise to color superconductivity as well as superfluidity. We classify vortices in this phase. The most stable vortices are what we call the non-Abelian Alice strings, which are superfluid vortices with non-Abelian color magnetic fluxes therein, exhibiting so-called topological obstruction, or a non-Abelian generalization of the Alice property. We show that a single Abelian superfluid vortex is unstable against decay into three non-Abelian Alice strings. We discover that a non-Abelian Alice string carries orientational moduli of the real projective space RP2 corresponding to the color flux therein in the presence of the P-wave condensates alone. We calculate Aharanov-Bohm (AB) phases around the non-Abelian Alice string, and find that the 2SC condensates and string's orientational moduli must be aligned with each other because of single-valuedness of the AB phases of the 2SC condensates.

AB - Quark-hadron continuity with two-flavor quarks that was proposed recently connects hadronic matter with neutron P23 superfluidity and two-flavor dense quark matter. This two-flavor dense quark phase consists of the coexistence of the 2SC condensates and the P-wave diquark condensates of d-quarks, which gives rise to color superconductivity as well as superfluidity. We classify vortices in this phase. The most stable vortices are what we call the non-Abelian Alice strings, which are superfluid vortices with non-Abelian color magnetic fluxes therein, exhibiting so-called topological obstruction, or a non-Abelian generalization of the Alice property. We show that a single Abelian superfluid vortex is unstable against decay into three non-Abelian Alice strings. We discover that a non-Abelian Alice string carries orientational moduli of the real projective space RP2 corresponding to the color flux therein in the presence of the P-wave condensates alone. We calculate Aharanov-Bohm (AB) phases around the non-Abelian Alice string, and find that the 2SC condensates and string's orientational moduli must be aligned with each other because of single-valuedness of the AB phases of the 2SC condensates.

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U2 - 10.1103/PhysRevD.103.054002

DO - 10.1103/PhysRevD.103.054002

M3 - Article

AN - SCOPUS:85103098231

SN - 2470-0010

VL - 103

JO - Physical Review D

JF - Physical Review D

IS - 5

M1 - 054002

ER -