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We study non-linear sigma models with N local supersymmetries in three space-time dimensions. For N=1 and 2 the target space of these models is Riemannian or Kahler, respectively. All N>2 theories are associated with Einstein spaces. For…

High Energy Physics - Theory · Physics 2008-11-26 B. de Wit , A. K. Tollsten , H. Nicolai

We derive the full N=2 supergravity Lagrangian which contains a symplectic invariant scalar potential in terms of electric and magnetic charges. As shown in reference [1], the appearance of magnetic charges is allowed only if tensor…

High Energy Physics - Theory · Physics 2008-11-26 Riccardo D'Auria , Luca Sommovigo , Silvia Vaula

We prove a non-existence theorem for smooth AdS5 solutions with connected, compact without boundary internal space that preserve strictly 24 supersymmetries. In particular, we show that D=11 supergravity does not admit such solutions, and…

High Energy Physics - Theory · Physics 2016-07-20 S. W. Beck , J. B. Gutowski , G. Papadopoulos

Leibniz algebras are a non-anticommutative version of Lie algebras. They play an important role in different areas of mathematics and physics and have attracted much attention over the last thirty years. In this paper we investigate whether…

Rings and Algebras · Mathematics 2021-01-28 David A. Towers

An extended class of N=2 locally supersymmetric invariants with higher-derivative couplings based on full superspace integrals, is constructed. These invariants may depend on unrestricted chiral supermultiplets, on vector supermultiplets…

High Energy Physics - Theory · Physics 2011-03-30 Bernard de Wit , Stefanos Katmadas , Maaike van Zalk

We provide explicit solutions of Type IIA supergravity which are believed to be dual to N = 2 superconformal four dimensional gauge theories. These explicit solutions are based on the general ansatz for such a type of backgrounds introduced…

High Energy Physics - Theory · Physics 2015-03-17 R. A. Reid-Edwards , B. Stefanski

We give the classification of T-duals of the flat background in four dimensions with respect to one-, two-, and three-dimensional subgroups of the Poincar\'e group using non-Abelian T-duality with spectators. As duals we find backgrounds…

High Energy Physics - Theory · Physics 2018-04-03 Filip Petrasek , Ladislav Hlavaty , Ivo Petr

We classify, up to isometric congruence, the homogeneous hypersurfaces in the Riemannian symmetric spaces $\mathrm{SL}(3,\mathbb{H})/\mathrm{Sp}(3), \hspace{1pt} \mathrm{SO}(5,\mathbb{C})/\mathrm{SO}(5),$ and…

Differential Geometry · Mathematics 2025-03-14 Ivan Solonenko

We find a large new class of explicit solutions preserving four supercharges in six-dimensional supergravity. The solutions are determined by solving a linear system of equations on a four-dimensional Kahler base studied by LeBrun. For…

High Energy Physics - Theory · Physics 2013-02-19 Nikolay Bobev , Benjamin E. Niehoff , Nicholas P. Warner

We construct a lattice model for two-dimensional N=(2,2) supersymmetric QCD (SQCD), with the matter multiplets belonging to the fundamental or anti-fundamental representation of the gauge group U(N) or SU(N). The construction is based on…

High Energy Physics - Lattice · Physics 2009-03-11 Fumihiko Sugino

The structure of nilpotent symplectic algebras of maximal class has been studied in [8, 5]. In this paper, we study the dual subclass of algebras of minimal class. In particular, we show that symplectic alternating algebras of dimension up…

Rings and Algebras · Mathematics 2024-07-04 Layla Sorkatti , Özlem Uğurlu , Manisha Varahagiri

In the first part of the thesis, and after an introduction to certain models of modified gravity, we study consistent Lagrangians for Lorentz invariant (massive and massless) spin-2 and spin-3/2 particles in flat space. The second part of…

High Energy Physics - Theory · Physics 2008-09-23 D. Blas

We consider weighted parallel spinors in Lorentzian Weyl geometry in arbitrary dimensions, choosing the weight such that the integrability condition for the existence of such a spinor, implies the geometry to be Einstein-Weyl. We then use…

General Relativity and Quantum Cosmology · Physics 2011-11-16 P. Meessen , T. Ortín , A. Palomo-Lozano

We perform a comparative study of the neutralino dark matter scattering on nucleon in three popular supersymmetric models: the minimal (MSSM), the next-to-minimal (NMSSM) and the nearly minimal (nMSSM). First, we give the predictions of the…

High Energy Physics - Phenomenology · Physics 2010-07-14 Junjie Cao , Ken-ichi Hikasa , Wenyu Wang , Jin Min Yang , Li-Xin Yu

We construct, at the linearized level, the three-dimensional (3D) N = 4 supersymmetric "general massive supergravity" and the maximally supersymmetric N = 8 "new massive supergravity". We also construct the maximally supersymmetric…

High Energy Physics - Theory · Physics 2011-03-28 Eric A. Bergshoeff , Olaf Hohm , Jan Rosseel , Paul K. Townsend

We present an extended study of our previous work on an alternative five-dimensional N=2 supergravity theory that has a single antisymmetric tensor and a dilaton as a part of supergravity multiplet. The new fields are natural Neveu-Schwarz…

High Energy Physics - Theory · Physics 2009-11-07 Hitoshi Nishino , Subhash Rajpoot

This paper is an extension of the results presented in \cite{Guarino:2024gke}. We study $ G_S$-invariant subsectors of maximal gauged supergravities and show that such models can provide consistent truncations even when $G_S$ is not a…

High Energy Physics - Theory · Physics 2026-04-28 Anik Rudra , Colin Sterckx , Mario Trigiante

A Lie (super)algebra with a non-degenerate invariant symmetric bilinear form will be called a NIS-Lie (super)algebra. The double extension of a NIS-Lie (super)algebra is the result of simultaneously adding to it a central element and an…

Representation Theory · Mathematics 2018-09-25 Said Benayadi , Sofiane Bouarroudj

In this paper I review the multiplet calculus of $N = 1$, $D = 1$ local supersymmetry with applications to the construction of models for spinning particles in background fields, and models with space-time supersymmetry. New features…

High Energy Physics - Theory · Physics 2016-11-03 J. W. van Holten

The simple symplectic triple systems over the real numbers are classified up to isomorphism, and linear models of all of them are provided. Besides the split cases, one for each complex simple Lie algebra, there are two kinds of non-split…

Rings and Algebras · Mathematics 2022-05-16 Cristina Draper , Alberto Elduque