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In this paper we show how the method of Lie algebra expansions may be used to obtain, in a simple way, both the extended Bargmann Lie superalgebra and the Chern-Simons action associated to it in three dimensions, starting from $D=3$,…

High Energy Physics - Theory · Physics 2019-09-04 José A. de Azcárraga , Diego Gútiez , José M. Izquierdo

This is a companion paper of a long work appeared in [1] discussing the super-Chern-Simons theory on supermanifolds. Here, it is emphasized that the BV formalism is naturally formulated using integral forms for any supersymmetric and…

High Energy Physics - Theory · Physics 2020-07-15 C. A. Cremonini , P. A. Grassi

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

Based on the realization of three-algebras in terms of algebra of matrices and four-brackets [arXiv:0807.1570] we present the notion of u(N)-based extended three-algebras, which for N=2 reproduces the Bagger-Lambert three-algebra. Using…

High Energy Physics - Theory · Physics 2009-01-22 M. M. Sheikh-Jabbari

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 review recent progress in formulating the worldvolume theory of M2-branes using the Nambu bracket. Although it is generally agreed that this formulation should be replaced by another using the superconformal Chern-Simons theory, we try…

High Energy Physics - Theory · Physics 2016-05-23 Kazuki Kiyoshige , Sanefumi Moriyama , Katsuya Yano

We use the superspace formulation of supergravity in eleven and ten dimensions to compute fermion couplings on the M2-brane and on D$p$-branes. In this formulation fermionic couplings arise naturally from the $\theta$-expansion of the…

High Energy Physics - Theory · Physics 2021-11-02 Ander Retolaza , Jamie Rogers , Radu Tatar , Flavio Tonioni

In this work, we investigate braneworld models in mimetic gravity, with the source field having generalized dynamics. We present the mathematical description necessary to study the generalized model and consider the first-order formalism to…

High Energy Physics - Theory · Physics 2022-11-21 A. S. Lobão

We propose a new theory of higher spin gravity in three spacetime dimensions. This is defined by what we will call a Nambu-Chern-Simons (NCS) action; this is to a Nambu 3-algebra as an ordinary Chern-Simons (CS) action is to a Lie…

High Energy Physics - Theory · Physics 2016-07-25 Alex S. Arvanitakis

Warped supergravities with lower-dimensional branes provide consistent field-theoretic framework for discussion of important aspects of modern string theory physics. In particular, it is possible to study reliably supersymmetry breakdown…

High Energy Physics - Theory · Physics 2007-05-23 Zygmunt Lalak , Radoslaw Matyszkiewicz

Focusing on gauge degrees of freedom specified by a 1+3 dimensions model hosting a Maxwell term plus a Lorentz and CPT non-invariant Chern-Simons-like contribution, we obtain a minimal extension of such a system to a supersymmetric…

High Energy Physics - Theory · Physics 2009-11-10 H. Belich , J. L. Boldo , L. P. Colatto , J. A. Helayel-Neto , A. L. M. A. Nogueira

Hitchin's generalized complex geometry has been shown to be relevant in compactifications of superstring theory with fluxes and is expected to lead to a deeper understanding of mirror symmetry. Gualtieri's notion of generalized complex…

High Energy Physics - Theory · Physics 2009-11-11 Roberto Zucchini

A fundamental problem in formulating higher Chern-Simons theories is the construction of a consistent higher gauge theory that circumvents the fake-flatness constraint. Here, we propose a solution to this problem using adjusted higher…

High Energy Physics - Theory · Physics 2025-07-04 Gianni Gagliardo , Dominik Rist , Christian Saemann , Martin Wolf

One of the possible low-energy consequences of string theory is the addition of a Chern-Simons term to the standard Einstein-Hilbert action of general relativity. It can be argued that the quintessence field should couple to this…

The idea of the Gauss map is unified with the concept of branes as hypersurfaces embedded into $D$-dimensional Minkowski space. The map introduces new generalized coordinates of branes alternative to their world vectors $\mathbf{x}$ and…

High Energy Physics - Theory · Physics 2014-09-23 A. A. Zheltukhin

We investigate the weak-field, post-Newtonian expansion to the solution of the field equations in Chern-Simons gravity with a perfect fluid source. In particular, we study the mapping of this solution to the parameterized post-Newtonian…

High Energy Physics - Theory · Physics 2008-11-26 Stephon Alexander , Nicolas Yunes

We consider a series of duality transformations that leads to a constant shift in the harmonic functions appearing in the description of a configuration of branes. This way, for several intersections of branes, we can relate the original…

High Energy Physics - Theory · Physics 2015-06-26 Harm Jan Boonstra , Bas Peeters , Kostas Skenderis

We discuss issues involving p(D)- brane charge quantization and the normalization of effective actions, in string/M-theory. We also construct the action of (the bosonic sector of) eleven dimensional supergravity in the presence of two- and…

High Energy Physics - Theory · Physics 2016-08-25 S. P. de Alwis

Open branes ending on other branes, which may be referred to as the host branes, are studied in the superembedding formalism. The open brane, host brane and the target space in which they are both embedded are all taken to be…

High Energy Physics - Theory · Physics 2009-10-31 C. S. Chu , P. S. Howe , E. Sezgin , P. C. West

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