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Using deformation theory based on BRST cohomology, a supergravity model is constructed which interpolates through a continuous deformation parameter between new minimal supergravity with an extra U(1) gauge multiplet and standard…

High Energy Physics - Theory · Physics 2007-05-23 Friedemann Brandt

We review the general formalism of duality rotations for $\cal N$-extended (super)conformal gauge multiplets of arbitrary (super)spin in four dimensions, with ${\cal N} \geq 0$. Self-dual models for a vector field (${\cal N}=0$) and for…

High Energy Physics - Theory · Physics 2026-02-05 Sergei M. Kuzenko

We describe the effective supergravity theory present below the scale of spontaneous gauge symmetry breaking due to an anomalous U(1), obtained by integrating out tree-level interactions of massive modes. A simple case is examined in some…

High Energy Physics - Theory · Physics 2014-11-18 Mary K. Gaillard , Joel Giedt

A careful analysis of the Fayet-Iliopoulos (FI) model shows that its energy momentum tensor and supersymmetry current are not gauge invariant. Since the corresponding charges are gauge invariant, the model is consistent. However, our…

High Energy Physics - Theory · Physics 2009-09-15 Zohar Komargodski , Nathan Seiberg

We propose a way to introduce matter fields transforming in arbitrary representations of the gauge group in noncommutative U(N) gauge theories. We then argue that in the presence of supersymmetry, an ordinary commutative SU(N) gauge theory…

High Energy Physics - Theory · Physics 2010-04-05 Chong-Sun Chu , Valentin V. Khoze , Gabriele Travaglini

Guided by the gauging of U(N) isometry associated with the special Kahler geometry, and the discrete R symmetry, we construct the N=2 supersymmetric action of a U(N) invariant nonabelian gauge model in which rigid N=2 supersymmetry is…

High Energy Physics - Theory · Physics 2009-11-10 Kazuhito Fujiwara , Hiroshi Itoyama , Makoto Sakaguchi

We study N=1 supersymmetric U(N) gauge theories coupled to an adjoint chiral field with superpotential. We consider the full supersymmetric moduli space of these theories obtained by adding all allowed chiral operators. These include…

High Energy Physics - Theory · Physics 2009-08-28 Mina Aganagic , Christopher Beem , Jihye Seo , Cumrun Vafa

We discuss duality orbits and symplectic deformations of D=4 gauged supergravity theories, with focus on N$\ge$2. We provide a general constructive framework for computing symplectic deformations starting from a reference gauging, and apply…

High Energy Physics - Theory · Physics 2016-04-20 Gianluca Inverso

We review self-duality of nonlinear electrodynamics and its extension to several Abelian gauge fields coupled to scalars. We then describe self-duality in supersymmetric models, both N = 1 and N = 2. The self-duality equations, which have…

High Energy Physics - Theory · Physics 2015-06-25 Sergei M. Kuzenko , Stefan Theisen

A decade ago, it was shown that associated with any model for $\mathsf{U}(1)$ duality-invariant nonlinear electrodynamics there is a unique $\mathsf{U}(1)$ duality-invariant supersymmetric nonlinear sigma model formulated in terms of chiral…

High Energy Physics - Theory · Physics 2023-05-31 Sergei M. Kuzenko , I. N. McArthur

We give a prescription for N=1 supersymmetrization of any (four-dimensional) nonlinear electrodynamics theory with a Lagrangian density satisfying a convexity condition that we relate to semi-classical unitarity. We apply it to the…

High Energy Physics - Theory · Physics 2023-03-08 Igor Bandos , Kurt Lechner , Dmitri Sorokin , Paul K. Townsend

Recently a new maximally supersymmetric, dyonically gauged supergravity in four-dimenions has been constructed. This theory admits several supersymmetric AdS solutions, and a Chern- Simons-matter dual theory has been proposed for a solution…

High Energy Physics - Theory · Physics 2018-08-29 Hyojoong Kim , Nakwoo Kim , Minwoo Suh

Recently, a new type of constant Fayet-Iliopoulos (FI) terms was introduced in $\mathcal{N}=1$ supergravity, which do not require the gauging of the $R$-symmetry. We revisit and generalise these constructions, building a new class of…

High Energy Physics - Theory · Physics 2020-05-20 Ignatios Antoniadis , François Rondeau

We find a new family of non-supersymmetric numerical solutions of IIB supergravity which are dual to the N=1 cascading "conifold" theory perturbed by certain combinations of relevant single trace and marginal double trace operators with non…

High Energy Physics - Theory · Physics 2014-12-09 Anatoly Dymarsky , Stanislav Kuperstein

We study supersymmetric $SO(N_c)$ gauge theories with $N_f$ flavors of quarks in the vector representation. Among the phenomena we find are dynamically generated superpotentials with physically inequivalent branches, smooth moduli spaces of…

High Energy Physics - Theory · Physics 2009-09-15 K. Intriligator , N. Seiberg

We construct realistic supergravity models where supersymmetry breaking arises from the D-terms of an anomalous U(1) gauge symmetry broken at the Planck scale. Effective action for these theories at sub-Planck energies (including higher…

High Energy Physics - Phenomenology · Physics 2016-09-06 R. N. Mohapatra , A. Riotto

When a globally supersymmetric theory is scale invariant, it must possess a Virial supercurrent supermultiplet. The multiplet structure is analogous to the R-current supermultiplet in globally R-symmetric theories but we put extra "$i$"s in…

High Energy Physics - Theory · Physics 2015-05-20 Yu Nakayama

We provide a manifestly N=2 supersymmetric formulation of the N=2 U(N_c) gauge model constructed in terms of N=1 superfields in hep-th/0409060. The model is composed of N=2 vector multiplets in harmonic superspace and can be viewed as the…

High Energy Physics - Theory · Physics 2008-11-26 Kazuhito Fujiwara , Hiroshi Itoyama , Makoto Sakaguchi

We discuss supersymmetry breaking induced by simultaneous presence of a Wilson-line type superpotential and boundary-localized Fayet-Iliopoulos terms in a four dimensional theory based on deconstruction of five-dimensional abelian gauge…

High Energy Physics - Theory · Physics 2009-11-10 Emilian Dudas , Adam Falkowski , Stefan Pokorski

We discuss a locally supersymmetric formulation for the boundary Fayet-Iliopoulos (FI) terms in 5-dimensional U(1) gauge theory on $S^1/Z_2$, using the four-form multiplier mechanism to introduce the necessary $Z_2$-odd FI coefficient. The…

High Energy Physics - Theory · Physics 2008-11-26 Hiroyuki Abe , Kiwoon Choi , Ian-Woo Kim