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Off-shell $(4,q)$ supermultiplets in 2-dimensions are constructed for $q=1,2,4$. These are used to construct sigma models whose target spaces are hyperk\"ahler with torsion. The off-shell supersymmetry implies the three complex structures…

High Energy Physics - Theory · Physics 2017-04-05 Chris Hull , Ulf Lindström

We write in superspace the lagrangian containing the fourth power of the Weyl tensor in the "old minimal" d=4, N=2 supergravity, without local SO(2) symmetry. Using gauge completion, we analyze the lagrangian in components. We find out that…

High Energy Physics - Theory · Physics 2009-11-07 Filipe Moura

An introduction to $N=2$ rigid and local supersymmetry is given. The construction of the actions of vector multiplets is reviewed, defining special K\"ahler manifolds. Symplectic transformations lead to either isometries or symplectic…

High Energy Physics - Theory · Physics 2008-02-03 Antoine Van Proeyen

We study a supersymmetric deconstructed gauge theory in which a warp factor emerges dynamically, driven by Fayet-Iliopoulos terms. The model is peculiar in that it possesses a global supersymmetry that remains unbroken despite nonvanishing…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christopher D. Carone

We report the construction of large new classes of models which break supersymmetry dynamically. We then turn to model building. Two of the principal obstacles to constructing simple models of dynamical supersymmetry breaking are the…

High Energy Physics - Phenomenology · Physics 2016-08-24 Michael Dine , Ann E. Nelson , Yosef Nir , Yuri Shirman

Basics of ${\cal N}=2, 4D$ conformal and Einstein supergravities in the harmonic superspace approach are outlined. The crucial merit of this formulation consists in that the relevant off-shell supermultiplets, in particular ${\cal N}=2, 4D$…

High Energy Physics - Theory · Physics 2022-12-16 Evgeny Ivanov

We study partial supersymmetry breaking in effective $\mathcal{N}=2$ U$ \left( 1\right) ^{n}$ gauge theory coupled to complex hypermultiplets by using the method of \textrm{"{\small arXiv:1501.07842}" to which we refer to as ADFT method}.…

High Energy Physics - Theory · Physics 2019-12-25 M. N. El Kinani , M. Vall

We introduce a new N=1 no-scale supergravity model with F- and D-term breaking. It contains a single chiral supermultiplet T and a single U(1) vector multiplet U, gauging an axionic shift symmetry. Both supersymmetry and the gauge symmetry…

High Energy Physics - Theory · Physics 2014-02-06 Gianguido Dall'Agata , Fabio Zwirner

Most phenomenological models of supersymmetry breaking rely on nonzero F-terms rather than nonzero D-terms. An important reason why D-terms are often neglected is that it turns out to be very challenging to realize D-terms at energies…

High Energy Physics - Theory · Physics 2015-05-20 Valerie Domcke , Kai Schmitz , Tsutomu T. Yanagida

We develop a general setting for N=2 rigid supersymmetric field theories with gauged central charge in harmonic superspace. We consider those N=2 multiplets which have a finite number of off-shell components and exist off shell owing to a…

High Energy Physics - Theory · Physics 2009-10-31 N. Dragon , E. Ivanov , S. Kuzenko , E. Sokatchev , U. Theis

De Sitter supergravity describes interaction of supergravity with general chiral and vector multiplets as well as one nilpotent chiral multiplet. The extra universal positive term in the potential due to the nilpotent multiplet,…

High Energy Physics - Theory · Physics 2016-06-29 Renata Kallosh

We present the action and transformation rules of Poincare supergravity coupled to chiral multiplets $(z^\alpha, \chi^\alpha, h^\alpha)$ with off-shell auxiliary fields. Starting from the geometric formulation of the superconformal theory…

High Energy Physics - Theory · Physics 2017-03-08 Daniel Z. Freedman , Diederik Roest , Antoine Van Proeyen

The multi-vector generalization of a rigid, partially-broken $\mathcal{N}=2$ supersymmetric theory is presented as a rigid limit of a suitable gauged $\mathcal{N}=2$ supergravity with electric, magnetic charges and antisymmetric tensor…

High Energy Physics - Theory · Physics 2015-09-15 Laura Andrianopoli , Patrick Concha , Riccardo D'Auria , Evelyn Rodriguez , Mario Trigiante

We study deconstructed gauge theories in which a warp factor emerges dynamically and naturally. We present nonsupersymmetric models in which the potential for the link fields has translational invariance, broken only by boundary effects…

High Energy Physics - Phenomenology · Physics 2009-11-11 Christopher D. Carone , Joshua Erlich , Brian Glover

Supersymmetric theories in 5d orbifold can have Fayet-Iliopoulos (FI) terms on the boundaries. These terms induce a 5d mass for the bulk matter fields. We analyze this effect using N=1 superfields and show how it can be understood as a…

High Energy Physics - Phenomenology · Physics 2009-11-07 Daniel Marti , Alex Pomarol

We consider generalisations of the recently proposed supersymmetry breaking deformation of the 5d rank-1 $E_1$ superconformal field theory to higher rank. We generalise the arguments to theories which admit a mass deformation leading to…

High Energy Physics - Theory · Physics 2024-01-31 Mohammad Akhond , Masazumi Honda , Francesco Mignosa

We construct and analyze unfolded off-shell systems for chiral and vector supermultiplets using multispinor formalism and external currents. We find that auxiliary variables of multispinor formalism allow for the interesting reorganization…

High Energy Physics - Theory · Physics 2023-03-22 N. G. Misuna

In the framework of the superconformal tensor calculus for 4D N=2 supergravity, locally supersymmetric actions are often constructed using the linear multiplet. We provide a superform formulation for the linear multiplet and derive the…

High Energy Physics - Theory · Physics 2015-06-05 Daniel Butter , Sergei M. Kuzenko , Joseph Novak

Motivated by a recent interest in curved rigid supersymmetries, we construct a new type of N=4, d=1 supersymmetric systems by employing superfields defined on the cosets of the supergroup SU(2|1). The relevant worldline supersymmetry is a…

High Energy Physics - Theory · Physics 2015-06-16 E. Ivanov , S. Sidorov

We review the question of quantum consistency of N=4 conformal supergravity in 4 dimensions. The UV divergences and anomalies of the standard ("minimal") conformal supergravity where the complex scalar $\phi$ is not coupled to the Weyl…

High Energy Physics - Theory · Physics 2017-11-22 A. A. Tseytlin