On chiral bosons in 2D and 6D

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.

24 pages, minor corrections and further additional references in v3

References in corpus (3)

• On p-form gauge theories and their conformal limits
• On Lagrangian approach to self-dual gauge fields in spacetime of nontrivial topology
• Massless finite and infinite spin representations of Poincaré group in six dimensions

Cited by in corpus (2)

• Unifying Approaches to Chiral Bosons
• Ironing out the crease