Lorentz-invariant actions for chiral p-forms

Paolo Pasti, Dmitri Sorokin, and Mario Tonin
Phys. Rev. D 55, 6292 – Published 15 May 1997
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Abstract

We demonstrate how a Lorentz-covariant formulation of the chiral p-form model in D=2(p+1) containing infinitely many auxiliary fields is related to a Lorentz-covariant formulation with only one auxiliary scalar field entering a chiral p-form action in a nonpolynomial way. The latter can be regarded as a consistent Lorentz-covariant truncation of the former. We make the Hamiltonian analysis of the model based on the nonpolynomial action and show that the Dirac constraints have a simple form and are all first class. In contrast with the Siegel model the constraints are not the square of second-class constraints. The canonical Hamiltonian is quadratic and determines the energy of a single chiral p-form. In the case of D=2 chiral scalars the constraint can be improved by use of a “twisting” procedure (without the loss of the property to be first class) in such a way that the central charge of the quantum constraint algebra is zero. This points to the possible absence of an anomaly in an appropriate quantum version of the model.

  • Received 14 November 1996

DOI:https://doi.org/10.1103/PhysRevD.55.6292

©1997 American Physical Society

Authors & Affiliations

Paolo Pasti, Dmitri Sorokin, and Mario Tonin

  • Università Degli Studi Di Padova, Dipartimento Di Fisica “Galileo Galilei” ed INFN, Sezione Di Padova, Via F. Marzolo, 8, 35131 Padova, Italy

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Vol. 55, Iss. 10 — 15 May 1997

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