Lorentz-invariant actions for chiralp-forms

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 a '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. 11. 15-q, 11.17+y

Bonus symmetries of N = 4 super-Yang-Mills correlation functions via AdS duality

“…The action which gives the equations of motion, modulo the self-duality of F 5 which can be imposed by hand or treated as in [23], takes the SL(2, R) and U (1) Y invariant form in the Einstein frame [24]:…”

Kac-Moody and Borcherds symmetries of six-dimensional chiral supergravity

“…2 Spacetime covariance can be made manifest by introducing gauge and auxiliary fields that appear non polynomially in the action as achieved in the interesting work [39][40][41][42]. One may take the point of view, however, that there is a message to be learned from the tension between manifest spacetime covariance and manifest duality invariance, and that duality might be more fundamental [43].…”

Action for IIB supergravity in 10 dimensions

“…In this section we will apply the general method of [1], [2] to write a covariant, supersymmetric action for D = 10, IIB supergravity. Being a component action, we shall deal with fields and forms, not superfields and superforms.…”

“…Recently a new method [1], [2] has been proposed to write covariant actions with manifest duality and/or in presence of chiral bosons and it is natural to apply this method to get a manifestly covariant action for D = 10, IIB supergravity. This action has been constructed in [3], at the bosonic level, and in [4] for the complete theory, and will be presented in section 3 5 .…”