2018/03/19 by Ahmad Moradpouri, Moradpouri, Ahmad
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect
paper · pdf · doi:10.48550/arxiv.1803.06979
openalex publication_date 2018/03/19 · openalex created_date 2022/08/29 · openalex updated_date 2026/07/28
A new non-Abelian gauge transformation for two-forms is introduced.\nConstruction is based on a fixed map from the spacetime to the loop space which\nattachs a closed loop to each point of the spacetime. It is argued that this\nset-up is consistent with the surface ordering ambiguity which is the main\nproblem to construct the Wilson surface operator for non-Abelian groups. With\nthe aim of the Wilson surface operator, we achieve a non-Abelian gauge\ntransformation for two-forms. We interpret the Dirac operator as a vector field\nand define a covariant derivative and rederive the gauge transformation of the\ntwo-form. At the end, we construct an Abelian interacting gauge theory in six\ndimensions.\n