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The $(4,0)$ theory in six dimensions is an exotic theory of supergravity that has been argued to emerge as the strong coupling limit of theories having $N=8$ supergravity as their low energy effective theory in five spacetime dimensions. It…

High Energy Physics - Theory · Physics 2019-08-14 Marc Henneaux , Victor Lekeu , Amaury Leonard

Duality symmetries of supergravity theories are powerful tools to restrict the number of possible actions, to link different dimensions and number of supersymmetries and might help to control quantisation. (Hodge-Dirac-)Dualisation of gauge…

High Energy Physics - Theory · Physics 2007-05-23 B. L. Julia

We examine spontaneously broken N=2 supersymmetry in four dimensions and associate a spinor superfield with each Goldstino via a finite supersymmetry transformation with parameters that are the Grassmann coordinates of N=2 superspace.…

High Energy Physics - Theory · Physics 2015-05-28 S. M. Kuzenko , I. N. McArthur

We define a semi-Hopf algebra which is more general than a Hopf algebra. Then we construct the supersymmetry algebra via the adjoint action on this semi-Hopf algebra. As a result we have a supersymmetry theory with quantum gauge group,…

High Energy Physics - Theory · Physics 2007-05-23 Bobby Eka Gunara

We present all NSR superstring and super-D-string actions invariant under a set of prescribed gauge transformations, and characterize completely their global symmetries. In particular we obtain locally supersymmetric Born-Infeld actions on…

High Energy Physics - Theory · Physics 2009-10-31 Friedemann Brandt , Alexander Kling , Maximilian Kreuzer

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

We consider the non-relativistic limit of gravity in four dimensions in the first order formalism. First, we revisit the case of the Einstein-Hilbert action and formally discuss some geometrical configurations in vacuum and in the presence…

General Relativity and Quantum Cosmology · Physics 2021-03-15 Amanda Guerrieri , Rodrigo F. Sobreiro

We study Euclidean lattice formulations of non-gauge supersymmetric models with up to four supercharges in various dimensions. We formulate the conditions under which the interacting lattice theory can exactly preserve one or more nilpotent…

High Energy Physics - Theory · Physics 2008-11-26 Joel Giedt , Erich Poppitz

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 classical action of a two dimensional N=2 supersymmetric theory, characterized by a general K\"{a}hler potential, is written down on a non(anti)commutative superspace. The action has a power series expansion in terms of the determinant…

High Energy Physics - Theory · Physics 2010-02-03 B. Chandrasekhar , Alok Kumar

We construct an N=1 supersymmetric gauge theory from z=3 Lifshitz field theory. By modifying the supersymmetry (susy) algebra based on the spacetime symmetry SO(3) $\times$ scaling symmetry, we get a supersymmetric Lagrangian with scalar,…

High Energy Physics - Theory · Physics 2010-08-31 Wei Xue

We consider N=2 supergravity in four dimensions, coupled to an arbitrary number of vector- and hypermultiplets, where abelian isometries of the quaternionic hyperscalar target manifold are gauged. Using a static and spherically or…

High Energy Physics - Theory · Physics 2016-09-14 Dietmar Klemm , Nicolò Petri , Marco Rabbiosi

The general actions of matter-coupled N=1 supergravity have Peccei-Quinn terms that may violate gauge and supersymmetry invariance. In addition, N=1 supergravity with vector multiplets may also contain generalized Chern-Simons terms. These…

High Energy Physics - Theory · Physics 2009-12-15 Jan De Rydt , Jan Rosseel , Torsten T. Schmidt , Antoine Van Proeyen , Marco Zagermann

We study Parity Violating Gravity Theories whose gravitational Lagrangian is a generic function of the scalar curvature and the parity odd curvature pseudoscalar, commonly known as the Holst (or Hojmann) term. Generalizing some previous…

General Relativity and Quantum Cosmology · Physics 2025-06-06 Damianos Iosifidis

Noncommutative geometry has seen remarkable applications for high energy physics, viz. the geometrical interpretation of the Standard Model. The question whether it also allows for supersymmetric theories has so far not been answered in a…

High Energy Physics - Theory · Physics 2014-09-23 Wim Beenakker , Walter D. van Suijlekom , Thijs van den Broek

We discuss a formulation of harmonic superspace approach for noncommuative N=2 supersymmetric field theories paying main attention on new features arising because of noncommutativity. We begin with the known notions of the harmonic…

High Energy Physics - Theory · Physics 2007-05-23 I. L. Buchbinder , I. B. Samsonov

We consider the supersymmetric field theories on the noncommutative $R^4$ using the superspace formalism on the commutative space. The terms depending on the parameter of the noncommutativity $\Theta$ are regarded as the interactions. In…

High Energy Physics - Theory · Physics 2009-10-31 Seiji Terashima

A new symmetry of $(1,0)$ supersymmetric non-linear $\sigma$-models in two dimensions with Fermi and mass sectors is introduced. It is a generalisation of the so-called special holonomy $W$-symmetry of Howe and Papadopoulos associated with…

High Energy Physics - Theory · Physics 2019-09-18 Xenia de la Ossa , Marc-Antoine Fiset

We construct the worldline superfield massive superparticle actions which preserve 1/4 portion of the underlying higher-dimensional supersymmetry. We consider the cases of N=4/N=1 and N=8/N=2 partial breaking. In the first case we present…

High Energy Physics - Theory · Physics 2016-11-23 F. Delduc , E. Ivanov , S. Krivonos

Correlators of gauge invariant operators provide useful information on the dynamics, phases and spectra of a quantum field theory. In this paper, we consider N=1 supersymmetric theories and focus our attention on the supercurrent multiplet.…

High Energy Physics - Theory · Physics 2015-01-19 Riccardo Argurio , Matteo Bertolini , Lorenzo Di Pietro , Flavio Porri , Diego Redigolo