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A general action is proposed for the fields of $q$-dimensional differential form over the compact Riemannian manifold of arbitrary dimensions. Mathematical tools are based on the well-known de Rham-Kodaira decomposing theorem on harmonic…

High Energy Physics - Theory · Physics 2007-05-23 Hisashi Echigoya , Tadashi Miyazaki

The equations of motion that must be satisfied by fields that constitute realizations of the Poincare group algebra, for integral spin, and mass m, are obtained. For the case of massive spin 2 these equations are satisfied by the selfdual,…

High Energy Physics - Theory · Physics 2010-01-02 Pio J. Arias

We show that General Relativity can be formulated as a constrained topological theory for flat 2-connections associated to the Poincar\'e 2-group. Matter can be consistently coupled to gravity in this formulation. We also show that the edge…

General Relativity and Quantum Cosmology · Physics 2013-01-15 Aleksandar Mikovic , Marko Vojinovic

We derive the supersymmetric structure present in W-gravities which has been already observed in various contexts as Yang-Mills theory, topological field theories, bosonic string and chiral W_{3}-gravity. This derivation which is made in…

High Energy Physics - Theory · Physics 2009-10-31 Jean-Pierre Ader , Franck Biet , Yves Noirot

These are notes on the theory of supermanifolds and integration on them, aiming to collect results that are useful for a better understanding of superstring perturbation theory in the RNS formalism.

High Energy Physics - Theory · Physics 2016-12-28 Edward Witten

We formulate classical actions for N=1 supergravity in D=(1,3) as a gauge theory of OSp(1|4). One may choose the action such that it does not include a cosmological term.

High Energy Physics - Theory · Physics 2007-05-23 C. R. Preitschopf , M. A. Vasiliev

We use Effective Field Theory techniques to derive the quadrupole-quadrupole part of the gravitational wave, obtaining a waveform in agreement with previous results found within the multipolar-post-Minkowskian method. In particular we…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Gabriel Luz Almeida , Alan Müller , Stefano Foffa , Riccardo Sturani

We consider generic N=1 supersymmetric matter coupled to linearized N=1 supergravity through the multiplet of currents. By completing the square, we find the effective action giving the leading supergravity induced correction to the matter…

High Energy Physics - Theory · Physics 2009-10-31 Stephen L. Adler

We present an action principle formulation for the study of motion of an extended body in General Relativity in the limit of weak gravitational field. This gives the classical equations of motion for multipole moments of arbitrary order…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Jeeva Anandan , Naresh Dadhich , Parampreet Singh

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

An action principle of singular hypersurfaces in general relativity and scalar-tensor type theories of gravity in the Einstein frame is presented without assuming any symmetry. The action principle is manifestly doubly covariant in the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Shinji Mukohyama

We pursue the study of local index theory for operators of Fourier-integral type associated to non-proper and non-isometric actions of Lie groupoids, initiated in a previous work. We introduce the notion of geometric cocycles for Lie…

K-Theory and Homology · Mathematics 2016-12-14 Denis Perrot

We construct gauged supergravity actions which describe the dynamics of M-theory on a Calabi-Yau threefold in the vicinity of a conifold transition. The actions explicitly include N charged hypermultiplets descending from wrapped M2-branes…

High Energy Physics - Theory · Physics 2010-02-03 Thomas Mohaupt , Frank Saueressig

Covariance is a useful property for handling supergravity theories. In this paper, we prove a covariance property of supergravity field equations: under reasonable conditions, field equations of supergravity are covariant modulo other field…

High Energy Physics - Theory · Physics 2018-02-14 Bram Vanhecke , Antoine Van Proeyen

A frame-like action for arbitrary mixed-symmetry bosonic massless fields in Minkowski space is constructed. The action is given in a simple form and consists of two terms for a field of any spin. The fields and gauge parameters are certain…

High Energy Physics - Theory · Physics 2008-12-18 E. D. Skvortsov

We show that the recently found covariant formulation for chiral $p$--forms in $2(p+1)$ dimensions with $p$ even, can be naturally extended to supersymmetric theories. We present the general method for writing covariant actions for chiral…

High Energy Physics - Theory · Physics 2009-10-30 G. Dall'Agata , K. Lechner , M. Tonin

I give a brief introduction to particle interactions based on representations of Poincare Lie algebra. This is later generalized to interactions based on representations of the supersymmetry Lie algebra. Globally supersymmetric models with…

High Energy Physics - Theory · Physics 2007-05-23 Ali H. Chamseddine

We introduce a category of inverse semigroup actions and a category of \'etale groupoids. We show that there are three functors which send inverse semigroups to their spectral actions, inverse semigroup actions to their transformation…

Operator Algebras · Mathematics 2024-10-29 Takuto Fujieda , Takeshi Katsura , Tomoki Uchimura

This is the first in a series of papers in which I investigate the orbifolds of permutation-type as candidates for {\it new physical string systems} at multiples of critical closed-string central charges. Examples include the bosonic…

High Energy Physics - Theory · Physics 2010-10-27 M. B. Halpern

We propose a topological version of four-dimensional (Euclidean) Einstein gravity, in which anti-self-dual 2-forms and an SU(2) connection are used as fundamental fields. The theory describes the moduli space of conformally self-dual…

High Energy Physics - Theory · Physics 2009-10-22 Mitsuko Abe , A. Nakamichi , T. Ueno
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