2024/10/17 by F. Caro-Perez, Caro-Perez, F., M.P. García del Moral +3
Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Quantum Mechanics and Non-Hermitian Physics #Algebraic structures and combinatorial models
paper · pdf · doi:10.48550/arxiv.2410.14051
Higher Forms Symmetries (HFS) of a closed bosonic M2-brane theory formulated on a compactified target space M9 × T2 are obtained. We show that the cancellation of the 't Hooft anomaly present in the theory is related to a 3-form flux with G1∇-gerbe structure associated to the world-volume flux quantization condition. A Wilson surface is naturally introduced on the topological operator that characterize the holonomy of the M2-brane. The projection of the flux quantization condition inherited from the gerbe structure onto the spatial part of the worldvolume, leads to a flux quantization on the M2-brane. The topological operators realise discrete symmetries associated with the winding and the flux/monopole condition. The algebra of operators is well defined.