2024/11/20 by Yi Yan, Yan, Yi, Zhao-Long Wang +1
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2411.13012
openalex publication_date 2024/11/20 · openalex created_date 2025/04/10 · openalex updated_date 2026/07/28
The abelian (p+1)-form gauge field is inherently coupled to the p-brane worldvolume. After quantization, the corresponding p-form gauge transformation is associated with the local phase ambiguity of the p-brane wave functional. In essence, the p-form gauge symmetry can be realized as a special construction of the generic 0-form gauge symmetry in the functional space of p-brane configurations. The non-abelian generalization is straightforward in the functional space language. To simplify the analysis, we further introduce a toy model where the infinite dimensional functional space of p-brane configurations is replaced by a finite dimensional matrix space. After taking the symmetric trace in the matrix model, the original discussions of the p-form gauge symmetry can be inherited by the toy model.