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arXiv · hep-th/9611100

On Lorentz Invariant Actions for Chiral P-Forms

Paolo Pasti·Dmitri Sorokin·Mario Tonin
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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 of the first class. In contrast to the Siegel model the constraints are not the square of second-class constraints. The canonical Hamiltonian is quadratic and determines energy of a single chiral p-form. In the case of d=2 chiral scalars the constraint can be improved by use of `twisting' procedure (without the loss of the property to be of the first class) in such a way that the central charge of the quantum constraint algebra is zero. This points to possible absence of anomaly in an appropriate quantum version of the model.

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Paolo Pasti, Dmitri Sorokin, Mario Tonin. 1996-11-13. On Lorentz Invariant Actions for Chiral P-Forms. https://doi.org/10.1103/physrevd.55.6292

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