Gauge transformations for categorical bundles

JOURNAL OF GEOMETRY AND PHYSICS

卷:133

Article

Chatterjee, Saikat¹  Lahiri, Amitabha²  Sengupta, Ambar N.³ 

[1] Indian Inst Sci Educ & Res Thiruvananthapuram, Sch Math, Maruthamala PO, Thiruvananthapuram 695551, Kerala, India

[2] SN Bose Natl Ctr Basic Sci, Block JD,Sect 3, Kolkata 700098, W Bengal, India

[3] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

关键词: Categorical groups;    Categorical geometry;    Principal bundles;    Gauge theory;   

DOI  :  10.1016/j.geomphys.2018.07.012

来源: Elsevier

【 摘 要 】

A gauge transformation of categorical principal bundles arises from a functorial isomorphism between such bundles. We determine the geometric nature of such gauge transformations. For a twisted-product categorical principal bundle whose structure group is given by a pair of Lie groups G andH we show that a pair consisting of a traditional gauge transformation theta, given by a G-valued function, and an L(H)-valued 1-form Lambda(H) determine a categorical gauge transformation. More general gauge transformations are also studied. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free