English
Related papers

Related papers: Gravity as the square of Yang-Mills: implications …

200 papers

In the derivation of a pure spin connection action functional for gravity two methods have been proposed. The first starts from a first order lagrangian formulation, the second from a hamiltonian formulation. In this note we show that they…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Riccardo Capovilla , Ted Jacobson

In this paper we discuss gravity in the light-front formulation (light-cone gauge) and show how possible counterterms arise. We find that Poincare invariance is not enough to find the three-point counterterms uniquely. Higher-spin fields…

High Energy Physics - Theory · Physics 2013-03-25 Anders K. H. Bengtsson , Lars Brink , Sung-Soo Kim

We develop a four-dimensional gauge-gravity unification based on the $% SL(2N,C)$ gauge theory taken in a universal Yang--Mills type setting. The accompanying tetrads are promoted to dynamical fields whose length, when projected onto the…

High Energy Physics - Theory · Physics 2026-03-20 J. L. Chkareuli

We present a lagrangian formulation for recently-proposed supersymmetric Yang-Mills theory in twelve dimensions. The field content of our multiplet has an additional auxiliary vector field in the adjoint representation. The usual Yang-Mills…

High Energy Physics - Theory · Physics 2009-10-30 Hitoshi Nishino

The general form of N=2 supergravity coupled to an arbitrary number of vector multiplets and hypermultiplets, with a generic gauging of the scalar manifold isometries is given. This extends the results already available in the literature in…

High Energy Physics - Theory · Physics 2011-05-05 L. Andrianopoli , M. Bertolini , A. Ceresole , R. D'Auria , S. Ferrara , P. Fre' , T. Magri

Gravitational interactions are treated as non-associative part of a Lagrangian of octonion fields. The Lagrangian is defined in the charge space as squared curvature with respect to the octonion fields. The applications of suggested…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. Dorofeev

A short introduction to N = 1 supergravity in four dimensions in the superspace approach is given emphasising on all steps to obtain the final Lagrangian. In particular starting from geometrical principles and the introduction of…

High Energy Physics - Theory · Physics 2021-04-15 Robin Ducrocq , Michel Rausch de Traubenberg , Mauricio Valenzuela

We show that the first-order D=4, N=1 pure supergravity lagrangian four-form can be obtained geometrically as a quadratic expression in the curvatures of the Maxwell superalgebra. This is achieved by noticing that the relative coefficient…

High Energy Physics - Theory · Physics 2015-06-19 J. A. de Azcarraga , J. M. Izquierdo

We formulate $R^2$ pure supergravity as a scale invariant theory built only in terms of superfields describing the geometry of curved superspace. The standard supergravity duals are obtained in both "old" and "new" minimal formulations of…

High Energy Physics - Theory · Physics 2015-06-05 Sergio Ferrara , Alex Kehagias , Massimo Porrati

By regarding gravity as the convolution of left and right Yang-Mills theories together with a spectator scalar field in the bi-adjoint representation, we derive in linearised approximation the gravitational symmetries of general covariance,…

High Energy Physics - Theory · Physics 2014-12-10 A. Anastasiou , L. Borsten , M. J. Duff , L. J. Hughes , S. Nagy

Gravity is commonly thought of as one of the four force fields in nature. However, in standard formulations its mathematical structure is rather different from the Yang-Mills fields of particle physics that govern the electromagnetic, weak,…

General Relativity and Quantum Cosmology · Physics 2015-06-11 H. F. Westman , T. G. Zlosnik

The Becchi-Rouet-Stora-Tyutin (BRST) transformations and equations of motion of a gravity-two-form-dilaton system are derived from the product of two Yang-Mills theories in a BRST covariant form, to linear approximation. The inclusion of…

High Energy Physics - Theory · Physics 2020-06-04 A. Anastasiou , L. Borsten , M. J. Duff , S. Nagy , M. Zoccali

This essay's title is justified by discussing a class of Yang-Mills-type theories of which standard Yang-Mills theories are special cases but which is broad enough to include gravity as a double field theory. We use the framework of…

High Energy Physics - Theory · Physics 2023-09-08 Roberto Bonezzi , Christoph Chiaffrino , Felipe Diaz-Jaramillo , Olaf Hohm

We introduce a gauge and diffeomorphism invariant theory on the Yang-Mills phase space. The theory is well defined for an arbitrary gauge group with an invariant bilinear form, it contains only first class constraints, and the spacetime…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Subenoy Chakraborty , Peter Peldan

We revisit an old idea that gravity can be unified with Yang-Mills theory by enlarging the gauge group of gravity formulated as gauge theory. Our starting point is an action that describes a generally covariant gauge theory for a group G.…

High Energy Physics - Theory · Physics 2010-04-14 Alexander Torres-Gomez , Kirill Krasnov

In this paper using the Clifford bundle formalism a Lagrangian theory of the Yang-Mills type (with a gauge fixing term and an auto interacting term) for the gravitational field in Minkowski spacetime is presented. It is shown how two simple…

Mathematical Physics · Physics 2009-06-23 Eduardo A. Notte-Cuello , Waldyr A. Rodrigues

We present a formulation of gravity in terms of a theory based on complex SU(2) gauge fields with a general coordinate invariant action functional quadratic in the field strength. Self-duality or anti-self-duality of the field strength…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Romesh K. Kaul

Conformal supergravity amplitudes are obtained from the double-copy construction using gauge-theory amplitudes, and compared to direct calculations starting from conformal supergravity Lagrangians. We consider several different theories:…

High Energy Physics - Theory · Physics 2018-10-17 Henrik Johansson , Gustav Mogull , Fei Teng

We show that N = 8 supergravity may possess an even larger symmetry than previously believed. Such an enhanced symmetry is needed to explain why this theory of gravity exhibits ultraviolet behaviour reminiscent of the finite N = 4…

High Energy Physics - Theory · Physics 2020-02-25 Sudarshan Ananth , Lars Brink , Sucheta Majumdar

We give a unified description of D = 3 super-Yang-Mills theory with N = 1, 2, 4, and 8 supersymmeties in terms of the four division algebras: reals (R), complexes (C), quaternions (H) and octonions (O). Tensoring left and right…

High Energy Physics - Theory · Physics 2015-01-08 L. Borsten , M. J. Duff , L. J. Hughes , S. Nagy