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Note on non-Abelian two-form gauge fields

2012/06/30 by Pei-Ming Ho, Yutaka Matsuo · 1 citation
Mathematics · Physics and Astronomy · #Abelian group #Action (physics) #BRST quantization #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Curvature #Gauge (firearms) #Gauge boson #Gauge fixing #Gauge theory #Geometry #Hamiltonian lattice gauge theory #Introduction to gauge theory #Invariant (physics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Supersymmetric gauge theory #Theoretical physics #hep-th

paper · pdf · doi:10.1007/jhep09(2012)075

21 pages

arxiv created 2012/08/14 · openalex publication_date 2012/09/01 · arxiv updated 2015/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Motivated by application to multiple M5 branes, we study some properties of non-Abelian two-form gauge theories. We note that the fake curvature condition which is commonly used in the literature would restrict the dynamics to be either a free theory or a topological system. We then propose a modification of transformation law which simplifies the gauge transformation of 3-form field strength and enables us to write down a gauge invariant action. We then argue that a generalization of Stueckelberg mechanism naturally gives mass to the two-form gauge field. For the application to multiple M5-branes, it should be identified with the KK modes.

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