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On chiral bosons in 2D and 6D

OAI: oai:www.repository.cam.ac.uk:1810/342429 DOI: 10.17863/CAM.89849
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Abstract

Abstract In the Hamiltonian formulation of chiral 2k-form electrodynamics, the 2k-form potential on the (4k + 1)-space is defined up to the addition of either (i) a closed 2k-form or (ii) an exact 2k-form, depending on the choice of chirality constraint. Case (i) is realized by the Floreanini-Jackiw 2D chiral boson (for k = 0) and its Henneaux-Teitelboim generalisation to k > 0. For all k, but focusing on the 6D case, we present a simple Lorentz-invariant Hamiltonian model that realizes case (ii), and we derive it from Siegel’s manifestly Lorentz invariant Lagrangian formulation.