有限温度下共形场论中的边界与缺陷
Boundaries and defects in conformal field theories at finite temperature
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中文总结 AI 辅助
本文研究有限温度下共形场论中的边界与缺陷，分类单点函数，关联低温展开与零温数据，推导自举求和规则，并计算热力学观测量，揭示色散关系。
中文摘要 AI 辅助
我们考虑有限温度和无限体积下欧几里得共形场论（CFT）中的共形边界和缺陷。我们区分缠绕热圆的缺陷和定位于热圆上某一点的缺陷。在两种设置中，对于任意维度和余维度，我们对标量、矢量和自旋-2 初级场的体单点函数进行分类。我们将体标量单点函数的低温展开与零温缺陷 CFT 数据以及缺陷初级场的新有限温度数据联系起来。对于定域缺陷，我们利用周期性和缺陷算子展开推导单点自举求和规则。我们在自由体 CFT 中考虑几个例子：酉和非酉边界 CFT、缠绕的幺正单值缺陷以及定域磁力线。我们在所有例子中确定热缺陷 CFT 数据。对于缠绕热圆的缺陷，我们计算热力学观测量。对于定域缺陷，我们观察到单点函数的胡尔维茨ζ函数分解，暗示了潜在的色散关系。
英文摘要
We consider conformal boundaries and defects in Euclidean conformal field theory (CFT) at finite temperature and infinite volume. We distinguish defects that wrap the thermal circle and defects that are localised at a point on it. In both set-ups, and for any dimension and co-dimension, we classify bulk one-point functions of scalar, vector and spin-2 primaries. We relate the low-temperature expansion of bulk scalar one-point functions to zero-temperature defect CFT data and new finite-temperature data of defect primaries. For localised defects, we derive one-point bootstrap sum rules using periodicity and the defect operator expansion. We consider several examples in free bulk CFTs: unitary and non-unitary boundary CFTs, a wrapping monodromy defect, and a localised magnetic line. We determine thermal defect CFT data in all examples. For defects wrapping the thermal circle, we compute thermodynamic observables. For localised defects, we observe a Hurwitz zeta function decomposition of one-point functions suggestive of an underlying dispersion relation.
发表机构
- Università di Parma（帕尔马大学）
- INFN Gruppo Collegato di Parma（意大利国家核物理研究所帕尔马协作组）
- Dipartimento di Fisica, Università di Torino（都灵大学物理系）
- INFN, Sezione di Torino（意大利国家核物理研究所都灵分部）
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