Fractional Superfluid Vortices and Worldsheet Wess--Zumino--Witten Models in Two-Color QCD and Sp(2N) Gauge Theories

@misc{nitta2026fractional,
  title = {{Fractional Superfluid Vortices and Worldsheet Wess--Zumino--Witten Models in Two-Color QCD and $Sp(2N)$ Gauge Theories}},
  author = {Muneto Nitta},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.39760},
  eprint = {2609.39760},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.39760},
}

TY  - UNPB
TI  - Fractional Superfluid Vortices and Worldsheet Wess--Zumino--Witten Models in Two-Color QCD and Sp(2N) Gauge Theories
AU  - Muneto Nitta
PY  - 2026
DA  - 2026/09/30
PB  - arXiv
DO  - 10.48550/arxiv.2609.39760
UR  - https://arxiv.org/abs/2609.39760
AB  - We study superfluid vortices in two-color QCD and more general pseudoreal gauge theories with even flavor number N_f=2m at finite baryon density. The antisymmetric diquark condensate admits fractional minimal vortices with baryon-phase winding ν=1/m, corresponding to 1/m of the conventional circulation quantum, each localizing an Sp(2)≃ SU(2) core sector. For vortices embedded in mutually orthogonal flavor planes, the leading-order chiral action factorizes exactly. Off-diagonal flavor zero modes are non-normalizable at finite separation but become localized at coincidence, enhancing the normalizable sector from [Sp(2)]^m to Sp(2m). For fundamental fermions of an Sp(2N) gauge theory, the bulk Wess--Zumino--Witten (WZW) term descends compatibly: a cluster of n coincident minimal vortices carries an Sp(2n)_N WZW theory, while a flavor-symmetric vortex with positive integer baryon-phase winding ν carries Sp(2m)_Nν. At unit winding this yields the vortex map to Sp(2m)_N, with central charge c=Nm(2m+1)/(N+m+1) at the WZW fixed point, and suggests a broader nonsupersymmetric four-dimensional/two-dimensional correspondence.
ER  -