Linearised gravity in four dimensions is formulated as an edge mode of a five-dimensional topological field, achieving manifest Lorentz covariance and electric-magnetic duality symmetry.
On Lorentz Invariant Actions for Chiral P-Forms
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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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Anomaly-free SO(5,21) and SO(4,20) G-duality symmetries are proposed to explain the one-loop finiteness of 6D half-maximal supergravities, by analogy with E_{7(7)} in 4D.
Analyzes TsT deformations and Penrose limits on fibered I-branes from prior work, finding preserved solvability when TsT precedes the limit and new asymptotically free or parallelizable sectors in the reverse order.
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Manifest duality and Lorentz covariance for linearised gravity as edge modes
Linearised gravity in four dimensions is formulated as an edge mode of a five-dimensional topological field, achieving manifest Lorentz covariance and electric-magnetic duality symmetry.
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Anomaly cancellation and one-loop finiteness of 6D half-maximal supergravities
Anomaly-free SO(5,21) and SO(4,20) G-duality symmetries are proposed to explain the one-loop finiteness of 6D half-maximal supergravities, by analogy with E_{7(7)} in 4D.
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Penrose limits and TsT for fibered $I$-branes
Analyzes TsT deformations and Penrose limits on fibered I-branes from prior work, finding preserved solvability when TsT precedes the limit and new asymptotically free or parallelizable sectors in the reverse order.