3,424 research outputs found
A note on large gauge transformations in double field theory
We give a detailed proof of the conjecture by Hohm and Zwiebach in double
field theory. This result implies that their proposal for large gauge
transformations in terms of the Jacobian matrix for coordinate transformations
is, as required, equivalent to the standard exponential map associated with the
generalized Lie derivative along a suitable parameter.Comment: 34 pages, no figure
Canonical formulation and conserved charges of double field theory
We provide the canonical formulation of double field theory. It is shown that
this dynamics is subject to primary and secondary constraints. The Poisson
bracket algebra of secondary constraints is shown to close on-shell according
to the C-bracket. A systematic way of writing boundary integrals in doubled
geometry is given. By including appropriate boundary terms in the double field
theory Hamiltonian, expressions for conserved energy and momentum of an
asymptotically flat doubled space-time are obtained and applied to a number of
solutions.Comment: 51 pages, no figures. Minor revision
Three-point Functions in Duality-Invariant Higher-Derivative Gravity
Doubled -geometry is the simplest higher-derivative gravitational
theory with exact global duality symmetry. We use the double metric formulation
of this theory to compute on-shell three-point functions to all orders in
. A simple pattern emerges when comparing with the analogous bosonic
and heterotic three-point functions. As in these theories, the amplitudes
factorize. The theory has no Gauss-Bonnet term, but contains a Riemann-cubed
interaction to second order in .Comment: Typos in eqns (3.5) and (4.7) have been fixe
One-loop tests of supersymmetric gauge theories on spheres
We show that a recently conjectured form for perturbative supersymmetric
partition functions on spheres of general dimension is consistent with the
flat space limit of 6-dimensional super Yang-Mills. We also
show that the partition functions for 8- and 9-dimensional
theories are consistent with their known flat space limits.Comment: 14 pages. Minor modifications. References adde
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