Work

A toy model for p-form gauge symmetry

Year: 2025

Type: article

Abstract: 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, p-form gauge symmetry can be realized as a special construction of generic zero-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.

Source: Communications in Theoretical Physics

DOI: 10.1088/1572-9494/adcaa7

Authors: Yi Yan, Zhao-Long Wang

Institutions: Northwest University, Peng Huanwu Center for Fundamental Theory, Shaanxi Key Laboratory for Theoretical Physics Frontiers

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Awards: G1973162480, G2012042336