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The doubled formulation of string theory, which is T-duality covariant and enlarges spacetime with extra coordinates conjugate to winding number, is reformulated and its geometric and topological features examined. It is used to formulate…

High Energy Physics - Theory · Physics 2008-11-26 C M Hull

Action principles of the BF type for diffeomorphism invariant topological field theories living in n-dimensional spacetime manifolds are presented. Their construction is inspired by Cuesta and Montesinos' recent paper where Cartan's first…

General Relativity and Quantum Cosmology · Physics 2008-11-07 Vladimir Cuesta , Merced Montesinos , Mercedes Velazquez , Jose David Vergara

Double field theory and exceptional field theory are formulations of supergravity that make certain dualities manifest symmetries of the action. To achieve this, the geometry is extended by including dual coordinates corresponding to…

High Energy Physics - Theory · Physics 2016-10-12 Felix J. Rudolph

In the paper a concept of a double symmetry is introduced, and its qualitative characteristics and rigorous definitions are given. We describe two ways to construct the double-symmetric field theories and present an example demonstrating…

High Energy Physics - Theory · Physics 2009-10-31 L. M. Slad

A new gauge theory of gravity is presented. The theory is constructed in a flat background spacetime and employs gauge fields to ensure that all relations between physical quantities are independent of the positions and orientations of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Anthony Lasenby , Chris Doran , Stephen Gull

A physical theory of the world is presented under the unifying principle that all of nature is laid out before us and experienced through the passage of time. The one-dimensional progression in time is opened out into a multi-dimensional…

General Physics · Physics 2016-07-01 David J. Jackson

In recent development of double field theory, as for the description of the massless sector of closed strings, the spacetime dimension is formally doubled, i.e. from D to D+D, and the T-duality is realized manifestly as a global O(D,D)…

High Energy Physics - Theory · Physics 2011-04-08 Imtak Jeon , Kanghoon Lee , Jeong-Hyuck Park

Double Field Theory is a manifestly T-duality invariant formulation of string theory in which the effective theory at any order of $\alpha'$ is invariant under global $O(D,D)$ transformations and ought to be invariant under gauge…

High Energy Physics - Theory · Physics 2018-09-19 Mohammad R. Garousi

A superconformal generalization of Dirac's formalism for manifest conformal covariance is presented and applied to the free (2,0) tensor multiplet field theory in six dimensions. A graded symmetric superfield, defined on a supercone in a…

High Energy Physics - Theory · Physics 2009-11-11 Par Arvidsson

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

A new non-perturbative approach to quantum field theory --- D-theory --- is proposed, in which continuous classical fields are replaced by discrete quantized variables which undergo dimensional reduction. The 2-d classical O(3) model…

High Energy Physics - Lattice · Physics 2009-10-30 B. B. Beard , R. C. Brower , S. Chandrasekharan , D. Chen , A. Tsapalis , U. -J. Wiese

We review work on `decomposition,' a property of two-dimensional theories with 1-form symmetries and, more generally, d-dimensional theories with (d-1)-form symmetries. Decomposition is the observation that such quantum field theories are…

High Energy Physics - Theory · Physics 2022-04-21 Eric Sharpe

Double field theory is an approach for massless modes of string theory, unifying and geometrizing all gauge invariance in manifest $\mathbf{O}(D,D)$ covariant manner. In this approach, we derive off-shell conserved Noether current and…

High Energy Physics - Theory · Physics 2015-11-24 Jeong-Hyuck Park , Soo-Jong Rey , Woohyun Rim , Yuho Sakatani

In a completely systematic and geometric way, we derive maximal and half-maximal supersymmetric gauged double field theories in lower than ten dimensions. To this end, we apply a simple twisting ansatz to the $D=10$ ungauged maximal and…

High Energy Physics - Theory · Physics 2015-09-01 Wonyoung Cho , J. J. Fernández-Melgarejo , Imtak Jeon , Jeong-Hyuck Park

We construct an Sp(2,R) gauge invariant particle action which possesses manifest space-time SO(d,2) symmetry, global supersymmetry and kappa supersymmetry. The global and local supersymmetries are non-abelian generalizations of Poincare…

High Energy Physics - Theory · Physics 2016-08-25 I. Bars , C. Deliduman , D. Minic

Two time theory is derived via localization of the global Sp(2) [or Osp(1/2), Osp(N/2), Sp(2N),...] symmetry in phase space in order to give a self contained introduction to two time theory. Then it is shown that from the two-times physics…

High Energy Physics - Theory · Physics 2007-05-23 Sascha Vongehr

We present the dual formulation of double field theory at the linearized level. This is a classically equivalent theory describing the duals of the dilaton, the Kalb-Ramond field and the graviton in a T-duality or O(D,D) covariant way. In…

High Energy Physics - Theory · Physics 2016-06-29 Eric A. Bergshoeff , Olaf Hohm , Victor A. Penas , Fabio Riccioni

The conformal symmetry SO(d,2) of the massless particle in d dimensions, or superconformal symmetry OSp(N|4), SU(2,2|N), OSp(8|N) of the superparticle in d=3,4,6 dimensions respectively, had been previously understood as the global Lorentz…

High Energy Physics - Theory · Physics 2009-10-31 Itzhak Bars

A new interpretation of Dirac singletons \cite{Dirac:1963ta}, i.e. free conformal fields in $d$ dimensions, as relativistic fields in a $d+1$-dimensional space-time with cosmological constant, that differs from the Flato-Fronsdal dipole…

High Energy Physics - Theory · Physics 2025-05-23 M. A. Vasiliev

We present a new framework for a Lagrangian description of conformal field theories in various dimensions based on a local version of d+2-dimensional conformal space. The results include a true gauge theory of conformal gravity in d=(1,3)…

High Energy Physics - Theory · Physics 2009-10-31 C. R. Preitschopf , M. A. Vasiliev