发表机构
Keio University; Hiroshima University（庆应义塾大学; 广岛大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究两色QCD及$Sp(2N)$规范理论中的分数超流体涡旋，发现其携带世界面WZW模型，建立了从体理论到二维共形场论的对应关系。
AI 中文摘要
我们研究了有限重子密度下两色QCD以及更一般的具有偶数味数$N_f=2m$的赝实规范理论中的超流体涡旋。反对称双夸克凝聚允许具有重子相位缠绕数$\nu=1/m$的分数最小涡旋，对应于传统环流量子的$1/m$，每个涡旋局域化一个$Sp(2)\simeq SU(2)$核心扇区。对于嵌入相互正交味平面的涡旋，领头阶手性作用精确分解。非对角味零模在有限分离时不可归一化，但在重合时变得局域化，将可归一化扇区从$[Sp(2)]^m$增强至$Sp(2m)$。对于$Sp(2N)$规范理论的基本费米子，体Wess--Zumino--Witten（WZW）项相容地下降：$n$个重合最小涡旋的团簇携带$Sp(2n)_N$ WZW理论，而具有正整数量子数重子相位缠绕数$\nu$的味对称涡旋携带$Sp(2m)_{N\nu}$。在单位缠绕时，这产生到$Sp(2m)_N$的涡旋映射，在WZW不动点处中心荷$c=Nm(2m+1)/(N+m+1)$，并暗示更广泛的非超对称四维/二维对应。
英文摘要
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 $Sp(2)\simeq SU(2)$ 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.
Comments35 pages, 2 figures
