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We present a uniform treatment of rigid supersymmetric field theories in a curved spacetime $\mathcal{M}$, focusing on four-dimensional theories with four supercharges. Our discussion is significantly simpler than earlier treatments,…

High Energy Physics - Theory · Physics 2021-10-11 Guido Festuccia , Nathan Seiberg

In all the odd dimensions which allow Majorana spinors, we consider a gravitational Lagrangian possessing local Poincare invariance and given by the dimensional continuation of the Euler density in one dimension less. We show that the local…

High Energy Physics - Theory · Physics 2014-11-18 Mokhtar Hassaine , Mauricio Romo

We use a description based on differential forms to systematically explore the space of scalar-tensor theories of gravity. Within this formalism, we propose a basis for the scalar sector at the lowest order in derivatives of the field and…

High Energy Physics - Theory · Physics 2016-07-07 Jose María Ezquiaga , Juan García-Bellido , Miguel Zumalacárregui

Taking into account the helicity of a massless particle, which obeys a Dirac equation and is exposed to an electromagnetic field, one soon arrives at a Lagrangian containing a chiral supersymmetric operator. We can even achieve an analogous…

High Energy Physics - Phenomenology · Physics 2011-06-15 Tobias Gleim

We write down a general action principle for spinning strings in 2+1 dimensional space-time without introducing Grassmann variables. The action is written solely in terms of coordinates taking values in the 2+1 Poincare group, and it has…

High Energy Physics - Theory · Physics 2016-09-06 B. Harms , A. Stern

The quantum rotor is shown to be supersymmetric. The supercharge $Q$, whose square equals the Hamiltonian, is constructed with reflection operators. The conserved quantities that commute with $Q$ form the algebra $so(3)_{-1}$, an…

Mathematical Physics · Physics 2016-07-26 Vincent X. Genest , Luc Vinet , Guo-Fu Yu , Alexei Zhedanov

In this paper, the classical and quantum solutions of some axisymmetric cosmologies coupled to a massless scalar field are studied in the context of minisuperspace approximation. In these models, the singular nature of the Lagrangians…

General Relativity and Quantum Cosmology · Physics 2016-06-03 Adamantia Zampeli , Theodoros Pailas , Petros A. Terzis , T. Christodoulakis

We investigate the most general N=1 graded extension of the Poincare algebra, and find the corresponding supersymmetry transformations and the associated superspaces. We find that the supersymmetry for which {Q,Q} = P is not special, and in…

High Energy Physics - Theory · Physics 2009-10-30 S. Hewson

Magnetic Carrollian theories provide a natural setting for field theories with nontrivial spatial structure in the Carroll limit and are therefore natural candidates for flat-space holographic duals. Embedding such boundary theories into a…

High Energy Physics - Theory · Physics 2026-04-07 Ilayda Bulunur , Osman Ergec , Oguzhan Kasikci , Mehmet Ozkan , Mustafa Salih Zog

We review the structure of local Lagrangians and field equations for free bosonic and fermionic gauge fields of mixed symmetry in flat space. These are first presented in a constrained setting and then the ($\g$-)trace constraints on fields…

High Energy Physics - Theory · Physics 2009-05-26 Andrea Campoleoni

We construct a class of Abelian and non-Abelian local gauge theories that consist only of matter fields of fermions. The Lagrangian is compact and local without containing an auxiliary vector field nor a subsidiary condition on the matter…

High Energy Physics - Theory · Physics 2016-07-13 Mahiko Suzuki

We present a review on Lagrangian models admitting spherically symmetric regular black holes, and cosmological bounce solutions. Non-linear electrodynamics, non-polynomial gravity, and fluid approaches are explained in details. They consist…

General Relativity and Quantum Cosmology · Physics 2018-02-28 Aimeric Colléaux , Stefano Chinaglia , Sergio Zerbini

In particle physics the world is described by a function, the Lagrangian. Each of its sectors characterizes the interactions between the particles of the Standard Model (SM). The addition of hypothetical new particles is done by including…

High Energy Physics - Phenomenology · Physics 2025-08-19 Tania Robens , Rui Santos

In this brief note we give a superspace description of the supersymmetric nonlocal Lorentz noninvariant actions recently proposed by Cohen and Freedman. This leads us to discover similar terms for gauge fields.

High Energy Physics - Theory · Physics 2007-05-23 Ulf Lindstrom , Martin Rocek

This paper presents a general covariant lagrangian framework for the dynamics of a system of closed n-branes and dual (D-n-4)-branes in D dimensions, interacting with a dynamical (n+1)-form gauge potential. The framework proves sufficiently…

High Energy Physics - Theory · Physics 2010-02-03 K. Lechner , P. A. Marchetti

A modified formulation of the Electroweak Model with 3-dimensional spherical geometry in the target space is suggested. The {\it free} Lagrangian in the spherical field space along with the standard gauge field Lagrangian form the full…

Mathematical Physics · Physics 2015-05-18 N. A. Gromov

A new way of supersymmetry breaking involving a dynamical parameter is introduced. It is independent of particle phenomenology and gauge groups. The only requirement is that Lorentz invariance be valid strictly infinitesimally (i. e.…

High Energy Physics - Theory · Physics 2007-05-23 Alexander Golubev

A bosonic Laplacian, which is a generalization of Laplacian, is constructed as a second order conformally invariant differential operator acting on functions taking values in irreducible representations of the special orthogonal group,…

Complex Variables · Mathematics 2026-03-19 Chao Ding , Phuoc-Tai Nguyen , John Ryan

On the basis of recent results extending non-trivially the Poincar\'e symmetry, we investigate the properties of bosonic multiplets including $2-$form gauge fields. Invariant free Lagrangians are explicitly built which involve possibly $3-$…

High Energy Physics - Theory · Physics 2009-11-10 G. Moultaka , M. Rausch de Traubenberg , A. Tanasa

We study a non-relativistic limit of 11-dimensional supergravity. This limit leads to a theory with an underlying membrane Newton-Cartan geometry. Consistency of the non-relativistic limit requires the imposition of constraints, requiring…

High Energy Physics - Theory · Physics 2025-03-24 Eric A. Bergshoeff , Chris D. A. Blair , Johannes Lahnsteiner , Jan Rosseel
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