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The NSNS Lagrangian of ten-dimensional supergravity is rewritten via a change of field variables inspired by Generalized Complex Geometry. We obtain a new metric and dilaton, together with an antisymmetric bivector field which leads to a…

High Energy Physics - Theory · Physics 2015-05-28 David Andriot , Magdalena Larfors , Dieter Lust , Peter Patalong

We study a possibility of Lagrangian formulation for free higher spin bosonic totally symmetric tensor field on the background manifold characterizing by the arbitrary metric, vector and third rank tensor fields in framework of BRST…

High Energy Physics - Theory · Physics 2011-06-15 I. L. Buchbinder , V. A. Krykhtin , P. M. Lavrov

A systematic method to obtain the effective Lagrangian on the BPS background in supersymmetric gauge theories is worked out, taking domain walls and vortices as concrete examples. The Lagrangian in terms of the superfields for four…

High Energy Physics - Theory · Physics 2008-11-26 Minoru Eto , Youichi Isozumi , Muneto Nitta , Keisuke Ohashi , Norisuke Sakai

The $\mathcal{A}$-theory takes U-duality symmetry as a guiding principle, with the SL(5) U-duality symmetry being described as the world-volume theory of a 5-brane. Furthermore, by unifying the 6-dimensional world-volume Lorentz symmetry…

High Energy Physics - Theory · Physics 2025-07-09 Machiko Hatsuda , Ondřej Hulík , William D. Linch , Warren D. Siegel , Di Wang , Yu-Ping Wang

A local supersymmetric action for a (2+1)-dimensional system including gravity, the electromagnetic field and a Dirac spin-1/2 field is presented. The action is a Chern-Simons form for a connection of the OSp(2|2) group. All the fields…

High Energy Physics - Theory · Physics 2015-05-30 Pedro D. Alvarez , Mauricio Valenzuela , Jorge Zanelli

We construct a Lorentz invariant massive particle model in (2+1) space-time with an enlarged set of symmetries which includes Bondi-Metzner-Sachs (BMS) translations (supertranslations), using the non-linear realization framework. The…

High Energy Physics - Theory · Physics 2023-10-23 Carles Batlle , Víctor Campello , Joaquim Gomis

Lagrangians for massive, unconstrained, higher-spin bosons and fermions are proposed. The idea is to modify the geometric, gauge invariant Lagrangians describing the corresponding massless theories by the addition of suitable quadratic…

High Energy Physics - Theory · Physics 2008-11-26 D. Francia

We construct a ``pseudo-supersymmetric" fermionic extension of the effective action of the bosonic string in arbitrary spacetime dimension D. The theory is invariant under pseudo-supersymmetry transformations up to the quadratic fermion…

High Energy Physics - Theory · Physics 2015-05-28 H. Lu , C. N. Pope , Zhao-Long Wang

We investigate N=2, D=5 supersymmetry and matter-coupled supergravity theories in a superconformal context. In a first stage we do not require the existence of a Lagrangian. Under this assumption, we already find at the level of rigid…

High Energy Physics - Theory · Physics 2009-11-07 Eric Bergshoeff , Sorin Cucu , Tim de Wit , Jos Gheerardyn , Rein Halbersma , Stefan Vandoren , Antoine Van Proeyen

A supersymmetric $D = 1, N =1$ model with a Grassmann-odd Lagrangian is proposed which, in contrast to the model with an even Lagrangian, contains not only a kinetic term but also an interaction term for the coordinates entering into one…

High Energy Physics - Theory · Physics 2009-11-07 D. V. Soroka , V. A. Soroka , J. Wess

We describe the procedure of dimensional reduction of massless fields in $(D+1)$ dimensional Minkowski space to massive ones in $D$ dimensions in the first-quantized setting. The procedure is compatible with Lagrangian and in a…

High Energy Physics - Theory · Physics 2020-02-21 Alexander Chekmenev

In this work we study the recently introduced octonionic duality for membranes. Restricting the self - duality equations to seven space dimensions, we provide various forms for them which exhibit the symmetries of the octonionic and…

High Energy Physics - Theory · Physics 2009-10-30 E. G. Floratos , G. K. Leontaris

Based on the concept of the partial breaking of global supersymmetry (PBGS), we derive the worldvolume superfield equations of motion for $N=1, D=4$ supermembrane, as well as for the space-time filling D2- and D3-branes, from nonlinear…

High Energy Physics - Theory · Physics 2009-10-31 S. Bellucci , E. Ivanov , S. Krivonos

We revise the twistor--like superfield approach to describing super--p--branes by use of the basic principles of the group--manifold approach \cite{rheo}. A super--p--brane action is constructed solely of geometrical objects as the integral…

High Energy Physics - Theory · Physics 2011-08-17 Igor Bandos , Dmitrij Sorokin , Dmitrij Volkov

In this work we obtain classical solutions of the bosonic sector of the supermembrane theory with two-form fluxes associated to a quantized constant $C_{\pm}$ background. This theory satisfies a flux condition on the worldvolume that…

High Energy Physics - Theory · Physics 2022-02-11 Pedro D. Alvarez , Pedro García , Maria Pilar Garcia del Moral , Joselen M. Peña , Reginaldo Prado

We develop classical globally supersymmetric theories. As much as possible, we treat various dimensions and various amounts of supersymmetry in a uniform manner. We discuss theories both in components and in superspace. Throughout we…

High Energy Physics - Theory · Physics 2007-05-23 Pierre Deligne , Daniel S. Freed

We work out some properties of a recently proposed globally N = 1 supersymmetric extension of relativistic fluid mechanics in four-dimensional Minkowski space. We construct the lagrangean, discuss its symmetries and the corresponding…

High Energy Physics - Theory · Physics 2015-06-26 T. S. Nyawelo

Let M be an oriented three-dimensional Riemannian manifold. We define a notion of vorticity of local sections of the bundle SO(M) --> M of all its positively oriented orthonormal tangent frames. When M is a space form, we relate the concept…

Differential Geometry · Mathematics 2023-07-12 Marcos Salvai

The most general N=1 Lagrangian for the spinning particle with local supersymmetry is found and the constraints of the system are analysed. The Dirac quantisation of the model is also investigated.

High Energy Physics - Theory · Physics 2007-05-23 W. Machin

We obtain the complete set of equations of motion for the interacting system of supermembrane and dynamical D=4 N = 1 supergravity by varying its complete superfield action and writing the resulting superfield equations in the special gauge…

High Energy Physics - Theory · Physics 2015-06-05 Igor A. Bandos , Carlos Meliveo
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