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Paper IPM / P / 15122  


Abstract:  
We consider (p+1)form gauge fields in flat (2p+4)dimensions for which the radiation and the Coulomb solutions have the same asymptotic falloff behavior. Imposing appropriate falloff behavior on fields and adapting a Maxwelltype action, we construct the boundary term which renders the action principle welldefined in the Lorenz gauge. We then compute conserved surface charges and the corresponding asymptotic charge algebra associated with nontrivial gauge transformations. We show that for p ≥ 1 cases we have three sets of conserved asymptotic charges associated with exact, coexact and zeromode parts of the corresponding pform gauge transformations on the asymptotic S^{2p+2}. The coexact and zeromode charges are higher form extensions of the four dimensional electrodynamics case (p=0), and are commuting. Charges associated with exact gauge transformations have no counterparts in four dimensions and form infinite copies of Heisenberg algebras. We briefly discuss physical implications of these charges and their algebra.
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