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The idea of gauging (i.e. making local) symmetries of a physical system is a central feature of many modern field theories. Usually, one starts with a Lagrangian for some scalar or spinor matter fields, with the Lagrangian being invariant…

High Energy Physics - Theory · Physics 2007-05-23 Akira Kato , Doug Singleton

We construct an N=1 supersymmetric gauge theory from z=3 Lifshitz field theory. By modifying the supersymmetry (susy) algebra based on the spacetime symmetry SO(3) $\times$ scaling symmetry, we get a supersymmetric Lagrangian with scalar,…

High Energy Physics - Theory · Physics 2010-08-31 Wei Xue

We derive the component Lagrangian for the free $N$-extended on-shell massless higher spin supermultiplets in four-dimensional anti-de Sitter space. The construction is based on frame-like description of massless integer and half-integer…

High Energy Physics - Theory · Physics 2020-11-23 I. L. Buchbinder , T. V. Snegirev

We construct a pseudo-Lagrangian that is invariant under rigid $E_{11}$ and transforms as a density under $E_{11}$ generalised diffeomorphisms. The gauge-invariance requires the use of a section condition studied in previous work on…

High Energy Physics - Theory · Physics 2021-07-14 Guillaume Bossard , Axel Kleinschmidt , Ergin Sezgin

We consider rigid supersymmetric theories in four-dimensional Riemannian spin manifolds. We build the Lagrangian directly in Euclidean signature from the outset, keeping track of potential boundary terms. We reformulate the conditions for…

High Energy Physics - Theory · Physics 2015-06-04 Henning Samtleben , Dimitrios Tsimpis

We describe how a soft supersymmetry breaking Lagrangian arises naturally in the context of almost-commutative geometries that fall within the classification of those having a supersymmetric particle content as well as a supersymmetric…

High Energy Physics - Theory · Physics 2014-09-23 Wim Beenakker , Walter D. van Suijlekom , Thijs van den Broek

An effective Lagrangian for the light quark in the field of a static source is derived systematically using the exact field correlator expansion. The lowest Gaussian term is bosonized using nonlocal colorless bosonic fields and a general…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yu. A. Simonov

We construct a Lagrangian formulation of \Nf supersymmetric mechanics with hyper-K\"{a}hler sigma models in a bosonic sector in the non-Abelian background gauge field. The resulting action includes a wide class of \Nf supersymmetric…

High Energy Physics - Theory · Physics 2012-03-22 Stefano Bellucci , Sergey Krivonos , Anton Sutulin

The supersymmetric Lagrangian compatible with the presence of torsion in the background spacetime requires, in addition to the minimal coupling, an interaction between the spin and the torsion of the form ${1/2}…

High Energy Physics - Theory · Physics 2016-08-25 Osvaldo Chandia , Jorge Zanelli

In this paper, the low-energy effective dynamics of M-theory, eleven-dimensional supergravity, is taken off-shell in a manifestly supersymmetric formulation. We show that a previously proposed relaxation of the superspace torsion…

High Energy Physics - Theory · Physics 2009-10-31 Martin Cederwall , Ulf Gran , Mikkel Nielsen , Bengt EW Nilsson

We provide the geometric actions for most general N=1 supergravity in two spacetime dimensions. Our construction implies an extension to arbitrary N. This provides a supersymmetrization of any generalized dilaton gravity theory or of any…

High Energy Physics - Theory · Physics 2010-02-03 M. Ertl , W. Kummer , T. Strobl

We review the details of unconstrained Lagrangian formulations for Bose particles propagated on an arbitrary dimensional flat space-time and described by the unitary irreducible integer higher-spin representations of the Poincare group…

High Energy Physics - Theory · Physics 2012-07-26 Alexander A. Reshetnyak

We reformulate the Bagger-Lambert-Gustavsson model using an N=8 superspace, thus making the full supersymmetry manifest. The formulation is based on appropriate "pure spinor wave functions" for the Chern-Simons and matter multiplets. The…

High Energy Physics - Theory · Physics 2009-12-07 Martin Cederwall

We consider the effect of the (heavy) fundamental quarks on the low energy effective Lagrangian description of nonabelian gauge theories in 2+1 dimensions. We show that in the presence of the fundamental charges, the magnetic $Z_N$ symmetry…

High Energy Physics - Theory · Physics 2009-10-31 Cesar D. Fosco , Alex Kovner

We examine the first-order Einstein-Cartan (EC) action in 2+1 dimensions, including a cosmological term and its supersymmetric extension. In this setting the spin connection can be expressed as an axial vector, yielding an action that is…

High Energy Physics - Theory · Physics 2026-01-16 D. G. C. McKeon , F. T. Brandt , J. Frenkel , S. Martins-Filho

The supersymmetric analysis of spinning cosmic string spacetime, involving an electron in magnetic fields, has been conducted. We examined the Dirac system within extended special functions known as exceptional orthogonal polynomials.…

Mathematical Physics · Physics 2024-05-01 O. Yesiltas , B. B. Oner

A model is proposed for a classical bosonic string in $d=3$ Minkowski space with an action functional that includes Gauss and mean world-sheet curvature. The Lagrangian is invariant under $3d$ Poincar\'e transformations modulo total…

High Energy Physics - Theory · Physics 2024-08-29 I. Yu. Karataeva , S. L. Lyakhovich , I. A. Retuntsev

We construct a Lagrangian of Weyl spinors and gauge fields, which is invariant under the action of equivalent local transformations on the spinor algebra representations. A model of vacuum with a nontrivial gauge strength-tensor setting a…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. V. Kiselev

We review the construction of Lagrangians for higher spin fields of mixed symmetry in the framework of graded geometry. The main advantage of the graded formalism in this context is that it provides universal expressions, in the sense that…

High Energy Physics - Theory · Physics 2024-06-11 Athanasios Chatzistavrakidis , Georgios Karagiannis , Peter Schupp

We study the nonlinear gravitational dynamics of a universe filled with a pressureless fluid and a cosmological constant $\Lambda$ in the context of Newtonian gravity, and in the relativistic post-Friedmann approach proposed in paper I [I.…

General Relativity and Quantum Cosmology · Physics 2016-10-26 Cornelius Rampf , Eleonora Villa , Daniele Bertacca , Marco Bruni