Comments on Chiral p-Forms

Details Comments on Chiral p-Forms Comments on Chiral p-Forms

1998-06-08

arxiv.org/abs/hep-th/9806062v3

Int.J.Theor.Phys.38:1161-1172,1999

Physics

High Energy Physics

High Energy Physics - Theory

contribution to "Quantum Gravity in the Southern Cone II", Bariloche (Argentina) January 6-10, 1998; typos corrected

Scientific paper

10.1023/A:1026610530708

Two issues regarding chiral $p$-forms are addressed. First, we investigate the topological conditions on spacetime under which the action for a non-chiral $p$-form can be split as the sum of the actions for two chiral $p$-forms, one of each chirality. When these conditions are not met, we exhibit explicitly the extra topological degrees of freedom and their couplings to the chiral modes. Second, we study the problem of constructing Lorentz-invariant self-couplings of a chiral $p$-form in the light of the Dirac-Schwinger condition on the energy-momentum tensor commutation relations. We show how the Perry-Schwarz condition follows from the Dirac-Schwinger criterion and point out that consistency of the gravitational coupling is automatic.

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