M2-branes on a constant flux background
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Publication:2281145
DOI10.1016/J.PHYSLETB.2019.134924zbMATH Open1427.81102arXiv1811.11231OpenAlexW2973169799MaRDI QIDQ2281145
Author name not available (Why is that?)
Publication date: 19 December 2019
Published in: (Search for Journal in Brave)
Abstract: We describe a compactified Supermembrane, or M2-brane, with 2-form fluxes generated by constant three-forms that are turned on a 2-torus of the target space . We compare this theory with the one describing a M2-brane formulated on target space subject to an irreducible wrapping condition. We show that the flux generated by the bosonic 3-form under consideration is in a one to one correspondence to the irreducible wrapping condition. After a canonical transformation both Hamiltonians are exactly the same up to a constant shift in one particular case. Consequently both of them, share the same spectral properties. We conclude that the Hamiltonian of the M2-brane with 2-form target space fluxes on a torus has a purely discrete spectrum with eigenvalues of finite multiplicity and it can be considered to describe a new sector of the microscopic degrees of freedom of M-theory. We also show that the total membrane momentum in the direction associated to the flux condition acquires a quantized contribution in correspondence to the flux units that have been turned on.
Full work available at URL: https://arxiv.org/abs/1811.11231
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