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We present a covariant quantization of the first-order formulation of the Einstein-Hilbert theory using the path integral and BV formalisms. In this approach, the metric $g^{\mu\nu}$ and the connection $\Gamma^\lambda_{\mu\nu}$ are treated…

General Relativity and Quantum Cosmology · Physics 2026-05-12 S. Martins-Filho

The double copy is a remarkable relationship between gauge theory and gravity that has been explored in a number of contexts, most notably scattering amplitudes and classical solutions. The convolutional double copy provides a…

High Energy Physics - Theory · Physics 2023-11-27 Qiuyue Liang , Silvia Nagy

We derive a component-field expansion of the Green-Schwarz action for the type IIA string, in an arbitrary background of massless NS-NS and R-R bosonic fields, up to quadratic order in the fermionic coordinates \theta. Using this action, we…

High Energy Physics - Theory · Physics 2008-11-26 M. Cvetic , H. Lu , C. N. Pope , K. S. Stelle

We embed the geometries of the generalized $\lambda$-deformations into the framework of the Double Field Theory.

High Energy Physics - Theory · Physics 2022-07-21 Parita Shah

We study the structure of scalar-tensor theories of gravity based on derivative couplings between the scalar and the matter degrees of freedom introduced through an effective metric. Such interactions are classified by their tensor…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Miguel Zumalacárregui , Juan García-Bellido

We rewrite the recently derived cubic action of Double Field Theory on group manifolds [arXiv:1410.6374] in terms of a generalized metric and extrapolate it to all orders in the fields. For the resulting action, we derive the field…

High Energy Physics - Theory · Physics 2015-09-30 Ralph Blumenhagen , Pascal du Bosque , Falk Hassler , Dieter Lust

We study the random geometry approach to the $T\bar{T}$ deformation of 2d conformal field theory developed by Cardy and discuss its realization in a gravity dual. In this representation, the gravity dual of the $T\bar{T}$ deformation…

High Energy Physics - Theory · Physics 2020-11-24 Shinji Hirano , Masaki Shigemori

There are at least two ways to encode gravity into geometry: Einstein's general theory of relativity (GR) for the metric tensor, and teleparallel gravity, where torsion as opposed to curvature encodes the dynamics of the gravitational…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Maïté Dupuis , Florian Girelli , Abdulmajid Osumanu , Wolfgang Wieland

We recast the action of pure gravity into a form that is invariant under a twofold Lorentz symmetry. To derive this representation, we construct a general parameterization of all theories equivalent to the Einstein-Hilbert action up to a…

High Energy Physics - Theory · Physics 2017-01-31 Clifford Cheung , Grant N. Remmen

As the theory is subject to a section condition, coordinates in double field theory do not represent physical points in an injective manner. We argue that a physical point should be rather one-to-one identified with a `gauge orbit' in the…

High Energy Physics - Theory · Physics 2013-07-05 Jeong-Hyuck Park

We perform an in-depth analysis of the transformation rules under duality for couplings of theories containing multiple scalars, $p$-form gauge fields, linearized gravitons or $(p,1)$ mixed symmetry tensors. Following a similar reasoning to…

High Energy Physics - Theory · Physics 2021-04-07 Athanasios Chatzistavrakidis , Georgios Karagiannis , Arash Ranjbar

Non-geometric string backgrounds were proposed to be related to a non-associative deformation of the space-time geometry. In the flux formulation of double field theory (DFT), the structure of mathematically possible non-associative…

High Energy Physics - Theory · Physics 2015-06-18 Ralph Blumenhagen , Michael Fuchs , Falk Hassler , Dieter Lust , Rui Sun

High-accuracy gravitational-wave modeling demands going beyond linear, first-order perturbation theory. Particularly motivated by the need for second-order perturbative models of extreme-mass-ratio inspirals and black hole ringdowns, we…

General Relativity and Quantum Cosmology · Physics 2024-07-08 Andrew Spiers , Adam Pound , Barry Wardell

In the double field theory, gauge symmetries are realized as generalized diffeomorphisms in the doubled spacetime. By consistency of the theory, dependence of tensor fields on the doubled coordinates is strongly constrained. This causes…

High Energy Physics - Theory · Physics 2016-02-03 Soo-Jong Rey , Yuho Sakatani

We classify all the first-order vertices of gravity consistently coupled to a system of 2-form gauge fields by computing the local BRST cohomology H(s|d) in ghost number 0 and form degree n. The consistent deformations are at most linear in…

High Energy Physics - Theory · Physics 2009-10-31 Xavier Bekaert , Bernard Knaepen , Christiane Schomblond

We reformulate the Hamiltonian form of bosonic eleven dimensional supergravity in terms of an object that unifies the three-form and the metric. For the case of four spatial dimensions, the duality group is manifest and the metric and…

High Energy Physics - Theory · Physics 2011-06-20 David S. Berman , Malcolm J. Perry

Double field theory provides T-duality covariant generalized tensors that are natural extensions of the scalar and Ricci curvatures of Riemannian geometry. We search for a similar extension of the Riemann curvature tensor by developing a…

High Energy Physics - Theory · Physics 2015-06-03 Olaf Hohm , Barton Zwiebach

The concept of electric-magnetic duality can be extended to linearized gravity. It has indeed been established that in four dimensions, the Pauli-Fierz action (quadratic part of the Einstein-Hilbert action) can be cast in a form that is…

High Energy Physics - Theory · Physics 2015-06-05 Claudio Bunster , Marc Henneaux , Sergio Hörtner

The zero modes of closed strings on a torus --the torus coordinates plus dual coordinates conjugate to winding number-- parameterize a doubled torus. In closed string field theory, the string field depends on all zero-modes and so can be…

High Energy Physics - Theory · Physics 2009-10-02 Chris Hull , Barton Zwiebach

First-order general relativity in $n$ dimensions ($n \geq 3$) has an internal gauge symmetry that is the higher-dimensional generalization of three-dimensional local translations. We report the extension of this symmetry for $n$-dimensional…

General Relativity and Quantum Cosmology · Physics 2020-01-27 Merced Montesinos , Rodrigo Romero , Diego Gonzalez