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We establish self-duality of super D3-brane theory as an exact symmetry of the action both in the Lagrangian and Hamiltonian formalism. In the Lagrangian formalism, the action is shown to satisfy the Gaillard-Zumino condition. This…

High Energy Physics - Theory · Physics 2009-10-31 Yuji Igarashi , Katsumi Itoh , Kiyoshi Kamimura

We present generic form of the covariant nonlocal action for infrared modifications of Einstein theory recently suggested within the weak-field curvature expansion. In the lowest order it is determined by two nonlocal operators -- kernels…

High Energy Physics - Theory · Physics 2009-11-11 A. O. Barvinsky

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

The $N=4$ supersymmetric self-dual Yang-Mills theory in a four- dimensional space with signature $(2,2)$ is formulated in harmonic superspace. The on-shell constraints of the theory are reformulated in the equivalent form of vanishing…

High Energy Physics - Theory · Physics 2009-10-28 E. Sokatchev

Meta-conformal invariance is a novel class of dynamical symmetries, with dynamical exponent $z=1$, and distinct from the standard ortho-conformal invariance. The meta-conformal Ward identities can be directly read off from the Lie algebra…

Mathematical Physics · Physics 2022-11-14 Malte Henkel , Michal Dariusz Kuczynski , Stoimen Stoimenov

We study isometric actions on Riemannian symmetric spaces of noncompact type which are induced by reductive algebraic subgroups of the isometry group. We show that for such an action there exists a corresponding isometric action on a dual…

Differential Geometry · Mathematics 2011-05-16 Andreas Kollross

Double field theory describes a massless subsector of closed string theory with both momentum and winding excitations. The gauge algebra is governed by the Courant bracket in certain subsectors of this double field theory. We construct the…

High Energy Physics - Theory · Physics 2014-11-20 Olaf Hohm , Chris Hull , Barton Zwiebach

Understanding the consequences of the E_{7(7)} duality on the UV properties of N=8 supergravity requires unravelling when and how duality-covariant actions can be constructed so as to accommodate duality-invariant counter-terms. For…

High Energy Physics - Theory · Physics 2012-08-03 Johannes Broedel , John Joseph M. Carrasco , Sergio Ferrara , Renata Kallosh , Radu Roiban

The dualization of the scalar fields of a theory into (d-2)-form potentials preserving all the global symmetries is one of the main problems in the construction of democratic pseudoactions containing simultaneously all the original fields…

High Energy Physics - Theory · Physics 2024-09-04 Jose Juan Fernandez-Melgarejo , Giacomo Giorgi , Carmen Gomez-Fayren , Tomas Ortin , Matteo Zatti

We derive the asymptotic symmetries of the manifestly duality invariant formulation of electromagnetism in Minkoswki space. We show that the action is invariant under two algebras of angle-dependent $u(1)$ transformations, one electric and…

High Energy Physics - Theory · Physics 2020-07-15 Marc Henneaux , Cédric Troessaert

We construct an $O(d,d)$ invariant universal formulation of the first-order $\alpha'$-corrections of the string effective actions involving the dilaton, metric and two-form fields. Two free parameters interpolate between four-derivative…

High Energy Physics - Theory · Physics 2015-12-24 Diego Marques , Carmen A. Nunez

New non-abelian supersymmetric generalizations of the four-dimensional Born-Infeld action are constructed in N=1 and N=2 superspace, to all orders in the gauge superfield strength. The proposed actions are dictated by simple (manifestly…

High Energy Physics - Theory · Physics 2009-10-31 Sergei V. Ketov

The classical equations of motion of Maxwell and Born-Infeld theories are known to be invariant under a duality symmetry acting on the field strengths. We implement the SL(2,Z) duality in these theories as linear but non-local…

High Energy Physics - Theory · Physics 2009-11-07 Cedric R. Leao , Victor O. Rivelles

The concept of self-dual supersymmetric nonlinear electrodynamics is generalized to a curved superspace of N = 1 supergravity, for both the old minimal and the new minimal versions of N = 1 supergravity. We derive the self-duality equation,…

High Energy Physics - Theory · Physics 2009-11-07 Sergei M. Kuzenko , Shane A. McCarthy

Duality symmetric electromagnetic action a la Schwarz-Sen is shown to appear naturally in a chain of equivalent actions which interchange equations of motion with Bianchi identities. Full symmetry of the electromagnetic stress tensor is…

High Energy Physics - Theory · Physics 2009-10-31 Ruben L. Pakman

We derive a local, gauge invariant action for the SU(N) non-linear sigma-model in 2+1 dimensions. In this setting, the model is defined in terms of a self-interacting pseudo vector-field \theta_\mu, with values in the Lie algebra of the…

High Energy Physics - Theory · Physics 2010-12-01 C. D. Fosco , C. P. Constantinidis

In this paper we propose a superfield description for all Bianchi-type cosmological models. The action is invariant under world-line local $n=4$ supersymmetry with $SU(2)_{local}XSU(2)_{global}$ internal symmetry. Due to the invariance of…

High Energy Physics - Theory · Physics 2009-11-07 J. J. Rosales , V. I. Tkach , J. Torres

We analyze non-linear interactions of 2N-form Maxwell fields in a space-time of dimension D=4N. Based on the Pasti-Sorokin-Tonin (PST) method, we derive the general consistency condition for the dynamics to respect both manifest…

High Energy Physics - Theory · Physics 2019-10-02 Ginevra Buratti , Kurt Lechner , Luca Melotti

Duality symmetries are discussed for non-linear gauge theories of (n-1)-th rank antisymmetric tensor fields in general even dimensions d=2n. When there are M field strengths and no scalar fields, the duality symmetry groups should be…

High Energy Physics - Theory · Physics 2009-10-31 M. Araki , Y. Tanii

The scalar fields of supersymmetric models are coordinates of a geometric space. We propose a formulation of supersymmetry that is covariant with respect to reparametrizations of this target space. Employing chiral multiplets as an example,…

High Energy Physics - Theory · Physics 2017-04-26 Daniel Z. Freedman , Diederik Roest , Antoine Van Proeyen