Self-dual p-form gauge fields in d=4k+2 dimensions can be coupled to self-dual branes via Dirac branes, with the action invariant under Dirac brane deformations subject to the Dirac veto.
Geometrical Aspects of An Abelian (2,0) Action
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We explore various geometrical aspects of an action for six-dimensional chiral 2-forms based on the formalism of 1903.12196. We elucidate the coupling to general backgrounds and construct the full supersymmetric completion to an abelian (2,0) superconformal lagrangian including matter. We investigate the non-standard diffeomorphism properties of the fields and their relation to the hamiltonian formulation. We also test the action by considering compactifications on a circle, K3 and a Riemann surface. The results are consistent with expectations for an action describing the low-energy physics of an M5-brane in M-theory.
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Coupling Self-Dual p-Form Gauge Fields to Self-Dual Branes
Self-dual p-form gauge fields in d=4k+2 dimensions can be coupled to self-dual branes via Dirac branes, with the action invariant under Dirac brane deformations subject to the Dirac veto.