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We discuss a generalization of Chern-Simons theory in three dimensions based on Leibniz (or Loday) algebras, which are generalizations of Lie algebras. Special cases of such theories appear in gauged supergravity, where the Leibniz algebra…

High Energy Physics - Theory · Physics 2019-03-27 Olaf Hohm , Henning Samtleben

In this paper, we present novel non-relativistic superalgebras which correspond to supersymmetric extensions of the enlarged extended Bargmann algebra. The three-dimensional non-relativistic Chern-Simons supergravity actions invariant under…

High Energy Physics - Theory · Physics 2021-02-23 Patrick Concha , Lucrezia Ravera , Evelyn Rodríguez

We explore $\mathcal{N}=1$ supersymmetric extensions of algebras going beyond the Poincar\'e and AdS ones in three spacetime dimensions. Besides reproducing two known examples, we present new superalgebras, which all correspond to…

High Energy Physics - Theory · Physics 2020-08-06 Patrick Concha , Remigiusz Durka , Evelyn Rodríguez

We consider five-dimensional supergravity theories with eight or sixteen supercharges with Abelian vector fields and ungauged scalars. We address the question under which conditions these theories can be interpreted as effective low energy…

High Energy Physics - Theory · Physics 2015-06-15 Federico Bonetti , Thomas W. Grimm , Stefan Hohenegger

The locally supersymmetric extension of the most general gravity theory in three dimensions leading to first order field equations for the vielbein and the spin connection is constructed. Apart from the Einstein-Hilbert term with…

High Energy Physics - Theory · Physics 2008-11-26 Alex Giacomini , Ricardo Troncoso , Steven Willison

We construct a massive non-abelian N= 1 SYM theory on R^3. This is achieved by using a non-local gauge and Poincare invariant mass term for gluons due to Nair. The underlying supersymmetry algebra is shown to be a non-central extension of…

High Energy Physics - Theory · Physics 2013-05-29 Abhishek Agarwal

N=(1,0) supergravity in six dimensions admits AdS_3\times S^3 as a vacuum solution. We extend our recent results presented in hep-th/0212323, by obtaining the complete N=4 Yang-Mills-Chern-Simons supergravity in D=3, up to quartic fermion…

High Energy Physics - Theory · Physics 2009-10-07 H. Lu , C. N. Pope , E. Sezgin

In this paper, we present and classify the supersymmetric extensions of extended kinematical algebras, at the basis of non-Lorentzian physics theories. The diverse kinematical superalgebras are here derived by applying non- and…

High Energy Physics - Theory · Physics 2025-03-11 Patrick Concha , Lucrezia Ravera

We study N=2 supersymmetric Chern-Simons Higgs models in $(2+1)$-dimensions. As we will demonstrate, an extended supersymmetric quantum mechanics algebras underlies the fermionic zero modes quantum system and the zero modes corresponding to…

High Energy Physics - Theory · Physics 2015-06-16 V. K. Oikonomou

In this paper we present the Hietarinta Chern-Simons supergravity theory in three space-time dimensions which extends the simplest Poincar\'e supergravity theory. After approaching the construction of the action using the Chern-Simons…

High Energy Physics - Theory · Physics 2024-12-31 Patrick Concha , Octavio Fierro , Evelyn Rodríguez

In this work, we construct a three-dimensional non-relativistic Chern--Simons supergravity theory with both curvature and torsion within the Mielke--Baekler framework. We show that a consistent non-relativistic supergravity formulation…

High Energy Physics - Theory · Physics 2026-04-28 Francisco Barriga , Patrick Concha , Nelson Merino , Evelyn Rodríguez

In this paper, we present novel and known non-relativistic and ultra-relativistic spin-3 algebras, by considering the Lie algebra expansion method. We start by applying the expansion procedure using different semigroups to the spin-3…

High Energy Physics - Theory · Physics 2022-10-27 Patrick Concha , Carla Henríquez-Báez , Evelyn Rodríguez

We construct and study an N=3 supersymmetric Chern-Simons Higgs theory. This theory is the maximally supersymmetric one containing the self-dual models with a single gauge field and no gravity.

High Energy Physics - Theory · Physics 2009-10-22 Hsien-Chung Kao , Kimyeong Lee

In this paper we present a torsional non-relativistic Chern-Simons teleparallel (super)gravity theory in three spacetime dimensions. We start by developing the non-relativistic limit of the purely bosonic relativistic teleparallel…

High Energy Physics - Theory · Physics 2022-05-24 Patrick Concha , Lucrezia Ravera , Evelyn Rodríguez

Maximally $\mathcal{N}$ extended $2+1$ dimensional flat Supergravity theories exist for a class of super-Poincar\'{e} algebras for arbitrary $\mathcal{N}$. They have rich asymptotic structures and contain all interesting topological…

High Energy Physics - Theory · Physics 2022-06-15 Nabamita Banerjee , Arindam Bhattacharjee , Surajit Biswas , Turmoli Neogi

We present a supersymmetric extension of the exotic Newtonian Chern-Simons gravity theory in three spacetime dimensions. The underlying new non-relativistic superalgebra is obtained by expanding the $\mathcal{N}=2$ AdS superalgebra and can…

High Energy Physics - Theory · Physics 2021-07-27 Patrick Concha , Lucrezia Ravera , Evelyn Rodríguez

We present a novel three-dimensional non-relativistic Chern-Simons supergravity theory invariant under a Maxwellian extended Bargmann superalgebra. We first study the non-relativistic limits of the minimal and the $\mathcal{N}=2$ Maxwell…

High Energy Physics - Theory · Physics 2020-04-14 Patrick Concha , Lucrezia Ravera , Evelyn Rodríguez

In the context of a Poincar\'e gauge theoretical formulation, pure gravity in 3+1-dimensions is dimensionally reduced to gravity in 2+1-dimensions with or without cosmological constant $\Lambda$. The dimensional reductions are consistent…

General Relativity and Quantum Cosmology · Physics 2009-10-22 G. Grignani , G. Nardelli

We present a consistent way of coupling three-dimensional Maxwell Chern-Simons gravity theory with massless spin-$\frac{5}{2}$ gauge fields. We first introduce the simplest hyper-Maxwell Chern-Simons gravity containing two massless spin-2…

High Energy Physics - Theory · Physics 2021-09-15 Ricardo Caroca , Patrick Concha , Javier Matulich , Evelyn Rodríguez , David Tempo

We study three-dimensional supersymmetric quiver gauge theories with a non-simply laced global symmetry primarily focusing on framed affine $B_{N}$ quiver theories. Using a supersymmetric partition function on a three sphere, and its…

High Energy Physics - Theory · Physics 2017-09-20 Anindya Dey , Amihay Hanany , Peter Koroteev , Noppadol Mekareeya