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In this paper we apply the Sen formalism, which is originally developed for chiral form fields, to construct non-linear $SL(2,\mathbb{R})$ duality-symmetric actions in four dimensions. The non-linear actions contain a potential term whose…

High Energy Physics - Theory · Physics 2025-10-01 Pichet Vanichchapongjaroen

We construct the classical action of the Aharony-Bergman-Jafferis-Maldacena (ABJM) model in the N=3, d=3 harmonic superspace. In such a formulation three out of six supersymmetries are realized off shell while the other three mix the…

High Energy Physics - Theory · Physics 2011-06-09 I. L. Buchbinder , E. A. Ivanov , O. Lechtenfeld , N. G. Pletnev , I. B. Samsonov , B. M. Zupnik

We reduce the dual version of $D=10$, $N=1$ supergravity coupled to $n$ vector fields to four dimensions, and derive the $SL(2,R)\times O(6,6+n)$ transformations which leave the equations of motion invariant. For $n=0$ $SL(2,R)$ is also a…

High Energy Physics - Theory · Physics 2016-09-06 H. J. Boonstra , M. de Roo

A supersymmetric approach to string quantum cosmology based on the non-compact, global duality symmetries of the effective action is developed. An N=2 supersymmetric action is derived whose bosonic component is the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 James E. Lidsey , J. Maharana

We construct a unique (2,0) supersymmetric action in six dimensions, describing a tensor multiplet interacting with a self-dual string. It is a sum of four terms: A free kinetic term for the tensor multiplet fields integrated over Minkowski…

High Energy Physics - Theory · Physics 2009-11-10 Par Arvidsson , Erik Flink , Mans Henningson

In this work, we propose the N=2 and N=4 supersymmetric extensions of the Lorentz-breaking Abelian Chern-Simons term. We formulate the question of the Lorentz violation in 6 and 10 dimensions to obtain the bosonic sectors of $N=2-$ and…

High Energy Physics - Theory · Physics 2007-05-23 Wander G. Ney , J. A. Helayel-Neto , Wesley Spalenza

We revisit the U(1) duality-invariant nonlinear models for N=1 and N=2 vector multiplets coupled to off-shell supergravities. For such theories we develop new formulations which make use of auxiliary chiral superfields (spinor in the N=1…

High Energy Physics - Theory · Physics 2015-06-12 Sergei M. Kuzenko

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

Two dimensional N=2 supersymmetric nonlinear sigma models on hermitian symmetric spaces are formulated in terms of the auxiliary superfields. If we eliminate auxiliary vector and chiral superfields, they give D- and F-term constraints to…

High Energy Physics - Theory · Physics 2007-05-23 Kiyoshi Higashijima , Muneto Nitta

We establish a Penrose-Ward transform yielding a bijection between holomorphic principal 2-bundles over a twistor space and non-Abelian self-dual tensor fields on six-dimensional flat space-time. Extending the twistor space to supertwistor…

High Energy Physics - Theory · Physics 2014-05-14 Christian Saemann , Martin Wolf

Starting from a manifestly Lorentz- and diffeomorphism-invariant classical action we perform a perturbative derivation of the gravitational anomalies for chiral bosons in 4n+2 dimensions. The manifest classical invariance is achieved using…

High Energy Physics - Theory · Physics 2009-10-31 Kurt Lechner

We construct the tensor hierarchy of generic, bosonic, 8-dimensional field theories. We first study the form of the most general 8-dimensional bosonic theory with Abelian gauge symmetries only and no massive deformations. This study…

High Energy Physics - Theory · Physics 2019-03-12 Oscar Lasso Andino , Tomas Ortin

With the goal of constructing the supersymmetric action for all fields, massless and massive, obtained by Kaluza-Klein compactification from type II theory or M-theory in a closed form, we embed the (Abelian) tensor hierarchy of p-forms in…

High Energy Physics - Theory · Physics 2016-04-20 Katrin Becker , Melanie Becker , William D Linch , Daniel Robbins

For a general class of SO(4) symmetric backgrounds in type II-supergravity, we show that the action of non-Abelian T-duality can be described via consistent truncation to seven dimensional theories with seemingly massive modes. As such, any…

High Energy Physics - Theory · Physics 2015-06-05 Georgios Itsios , Yolanda Lozano , Eoin Ó Colgáin , Konstadinos Sfetsos

We investigate $U(1)^{\,n}$ supersymmetric Born-Infeld Lagrangians with a second non-linearly realized supersymmetry. The resulting non-linear structure is more complex than the square root present in the standard Born-Infeld action, and…

High Energy Physics - Theory · Physics 2016-01-20 S. Ferrara , M. Porrati , A. Sagnotti , R. Stora , A. Yeranyan

The supersymmetric Born-Infeld actions describing gauge-fixed D-5- and D-3-branes in ambient six-dimensional (6d) spacetime are constructed in superspace. A new 6d action is the (1,0) supersymmetric extension of the 6d Born-Infeld action.…

High Energy Physics - Theory · Physics 2008-11-26 Sergei V. Ketov

We express supersymmetric couplings among the vector and the tensor multiplets in six dimensions (6D) in terms of N=1 superfields. The superfield description is derived from the invariant action in the projective superspace. The obtained…

High Energy Physics - Theory · Physics 2015-08-04 Hiroyuki Abe , Yutaka Sakamura , Yusuke Yamada

We use the four-dimensional N=2 central charge superspace to give a geometrical construction of the Abelian vector-tensor multiplet consisting, under N=1 supersymmetry, of one vector and one linear multiplet. We derive the component field…

High Energy Physics - Theory · Physics 2009-10-30 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

We show that the classical non-abelian pure Chern-Simons action is related to nonrelativistic models in (2+1)-dimensions, via reductions of the gauge connection in Hermitian symmetric spaces. In such models the matter fields are coupled to…

High Energy Physics - Theory · Physics 2007-05-23 L. Martina , O. K. Pashaev , G. Soliani

A new non-Abelian gauge transformation for two-forms is introduced. Construction is based on a fixed map from the spacetime to the loop space which attachs a closed loop to each point of the spacetime. It is argued that this set-up is…

High Energy Physics - Theory · Physics 2018-03-20 Ahmad Moradpouri