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We examine the equations of motion of double field theory and the duality manifest form of M-theory. We show the solutions of the equations of motion corresponding to null pp-waves correspond to strings or membranes from the usual spacetime…

High Energy Physics - Theory · Physics 2015-06-19 Joel Berkeley , David S. Berman , Felix J. Rudolph

We discuss some of the issues arising in trying to extend the ABJM action to include couplings to background fields. This is analogous to the Myers-Chern-Simons terms of the multiple Dp-brane action. We review and extend previous results to…

High Energy Physics - Theory · Physics 2011-08-25 James P Allen , Douglas J Smith

We introduce a formalism based on a combinatorial notion of cell complex subject to an inclusion-reversing duality operation. Our main goal is to open the way for a functorial definition of field theories in a context where no manifold or…

Mathematical Physics · Physics 2022-04-15 Maxime Savoy

In this paper we first consider the Hamiltonian action of a compact connected Lie group on an $H$-twisted generalized complex manifold $M$. Given such an action, we define generalized equivariant cohomology and generalized equivariant…

Differential Geometry · Mathematics 2009-11-11 Yi Lin

There exists a well-known duality between the Maxwell-Chern-Simons theory and the self-dual massive model in 2+1 dimensions. This dual description has been extended to topologically massive gauge theories (TMGT) in any dimension. This…

High Energy Physics - Theory · Physics 2008-11-26 Bruno Bertrand , Jan Govaerts

The Maxwell-BF theory with a single-sided planar boundary is considered in Euclidean four dimensional spacetime. The presence of a boundary breaks the Ward identities which describe the gauge symmetries of the theory, and, using standard…

High Energy Physics - Theory · Physics 2019-07-23 Alberto Blasi , Nicola Maggiore

Taking into account the recent developments associated with duality in physics, this article is focused on investigating the properties of a tensor generalization of the electrodynamics dual to the standard vector model even considering the…

High Energy Physics - Theory · Physics 2024-03-19 G. B. de Gracia , B. M. Pimentel

The Gauss-Bonnet Formula is a significant achievement in 19th century differential geometry for the case of surfaces and the 20th century cumulative work of H. Hopf, W. Fenchel, C. B. Allendoerfer, A. Weil and S.S. Chern for…

Differential Geometry · Mathematics 2023-08-30 Marc Troyanov

We discuss hidden symmetries of M-theory, its feedback on the construction of the M-theory effective action, and a response of the effective action when locality is preserved. In particular, the locality of special symmetries of the…

High Energy Physics - Theory · Physics 2008-12-19 Alexei J. Nurmagambetov

We present a complete discussion of the boundary term in the action functional of general relativity when the boundary includes null segments in addition to the more usual timelike and spacelike segments. We confirm that ambiguities appear…

High Energy Physics - Theory · Physics 2016-11-02 Luis Lehner , Robert C. Myers , Eric Poisson , Rafael D. Sorkin

We present an action principle formulation for the study of motion of an extended body in General Relativity in the limit of weak gravitational field. This gives the classical equations of motion for multipole moments of arbitrary order…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Jeeva Anandan , Naresh Dadhich , Parampreet Singh

We discuss the action of O(d,d), and in particular T-duality, in the context of generalized geometry, focusing on the description of so-called non-geometric backgrounds. We derive local expressions for the pure spinors descibing the…

High Energy Physics - Theory · Physics 2011-08-03 Mariana Graña , Ruben Minasian , Michela Petrini , Daniel Waldram

We will discuss two inequivalent generalizations of the standard (2,0) supergravity action gr-qc/9501018 to include gravitational Chern-Simons term. One is in the first order formalism where we treat \omega_{M}^{ab} as independent and the…

High Energy Physics - Theory · Physics 2008-12-18 Payal Kaura , Bindusar Sahoo

We combine symmetry structures of ordinary (parallel directions) and dual (transversal directions) coordinates to construct the Dirac-Born-Infeld (DBI) theory. The ordinary coordinates are associated with the Neumann boundary conditions and…

High Energy Physics - Theory · Physics 2015-09-23 Chen-Te Ma

In this article the action of T-duality on a mixed brane is studied in the boundary state formalism. We also obtain a two dimensional mixed brane with non-zero electric and magnetic fields, from a D$_1$-brane.

High Energy Physics - Theory · Physics 2009-10-31 Davoud Kamani

We consider open strings ending on D-branes in the presence of constant metric, G, antisymmetric tensor, B and gauge field, A. The Hamiltonian is manifestly invariant under a global noncompact group; strikingly similar to toroidally…

High Energy Physics - Theory · Physics 2009-10-31 J. Maharana , S. S. Pal

Starting from the Lovelock action and its supplementation by the relevant Gibbons-Hawking-York boundary term, the curvature action corresponding to second-order General Relativity is stated in accordance to the topological properties of the…

General Relativity and Quantum Cosmology · Physics 2012-07-11 Thomas W. McLaughlin

The previously proposed generalized action principle approach to supersymmetric extended objects is considered in some details for the case of heterotic string in $D=3, 4, 6 ~and~ 10$ space--time dimensions. The proof of the 'off--shell'…

High Energy Physics - Theory · Physics 2007-05-23 Igor A. Bandos

It is shown how to extend the formal variational calculus in order to incorporate integrals of divergences into it. Such a generalization permits to study nontrivial boundary problems in field theory on the base of canonical formalism.

High Energy Physics - Theory · Physics 2007-05-23 Vladimir O. Soloviev

In this short paper, we will review the proposal of a correspondence between the doubled geometry of Double Field Theory and the higher geometry of bundle gerbes. Double Field Theory is T-duality covariant formulation of the supergravity…

High Energy Physics - Theory · Physics 2021-10-27 Luigi Alfonsi