Twisted covariant noncommutative self-dual gravity

  title={Twisted covariant noncommutative self-dual gravity},
  author={Sendic Estrada‐Jim{\'e}nez and Hugo Garc{\'i}a-Compe{\'a}n and Octavio Obreg{\'o}n and Carlos Ram{\'i}rez},
  journal={Physical Review D},
A twisted covariant formulation of noncommutative self-dual gravity is presented. The formulation for constructing twisted noncommutative Yang-Mills theories is used. It is shown that the noncommutative torsion is solved at any order of the {theta} expansion in terms of the tetrad and some extra fields of the theory. In the process the first order expansion in {theta} for the Plebanski action is explicitly obtained. 

Noncommutative D=4 gravity coupled to fermions

We present a noncommutative extension of Einstein-Hilbert gravity in the context of twist-deformed space-time, with a -product associated to a quite general triangular Drinfeld twist. In particular

Noncommutativity, Cosmology and Λ

The effects of phase space deformations in standard scalar field cosmology are studied. The deformation is introduced by modifying the symplectic structure of the minisuperspace variables to have a

Noncommutative gravity coupled to fermions: second order expansion via Seiberg-Witten map

A bstractWe use the Seiberg-Witten map (SW map) to expand noncommutative gravity coupled to fermions in terms of ordinary commuting fields. The action is invariant under general coordinate

OSp(1|4) supergravity and its noncommutative extension

We review the OSp(1|4)-invariant formulation of N=1, D=4 supergravity and present its noncommutative extension, based on a star-product originating from an abelian twist with deformation parameter

Projective module description of embedded noncommutative spaces

An algebraic formulation is given for the embedded noncommutative spaces over the Moyal algebra developed in a geometric framework in \cite{CTZZ}. We explicitly construct the projective modules

Noncommutative Supergravity

We present a noncommutative extension of first order Einstein-Hilbert gravity in the context of twist-deformed space-time, with a ? -product associated to a triangular Drinfeld twist. In particular

Noncommutative supergravity in D=3 and D=4

We present a noncommutative D=3, N=1 supergravity, invariant under diffeomorphisms, local U(1,1) noncommutative \star-gauge transformations and local \star-supersymmetry. Its commutative limit is the

Gauge theory models on $\kappa$-Minkowski space: Results and prospects

Recent results obtained in κ-Poincaré invariant gauge theories on κ-Minkowski space are reviewed and commented. A Weyl quantization procedure can be applied to convolution algebras to derive a

Can noncommutative effects account for the present speed up of the cosmic expansion

In this paper we investigate to which extent noncommutativity, a intrinsically quantum property, may influence the Friedmann-Robertson-Walker cosmological dynamics at late times/large scales. To our



Nonabelian Gauge Theories on Noncommutative Spaces

In this paper, we describe a method for obtaining the nonabelian Seiberg-Witten map for any gauge group and to any order in θ. The equations defining the Seiberg-Witten map are expressed using a

Twisted Gauge Theories

Gauge theories on a space-time that is deformed by the Moyal–Weyl product are constructed by twisting the coproduct for gauge transformations. This way a deformed Leibniz rule is obtained, which is

Noncommutative perturbative dynamics

We study the perturbative dynamics of noncommutative field theories on R d , and find an intriguing mixing of the UV and the IR. High energies of virtual particles in loops produce non-analyticity at

Deformed Gauge Theories

Gauge theories are studied on a space of functions with the Moyal-Weyl product. The development of these ideas follows the differential geometry of the usual gauge theories, but several changes are

Twist to Close

It has been proposed that the Poincare and some other symmetries of noncommutative field theories should be twisted. Here we extend this idea to gauge transformations and find that twisted gauge

Nonabelian Gauge Theories on Noncommutative Spaces

A formalism is presented where gauge theories for nonabelian groups can be constructed on a noncommutative algebra.

Deformed Bialgebra of Diffeomorphisms

The algebra of diffeomorphisms derived from general coordinate transformations on commuting coordinates is represented by differential operators on noncommutative spaces. The algebra remains

Elements of Noncommutative Geometry

This volume covers a wide range of topics including sources of noncommutative geometry; fundamentals of noncommutative topology; K-theory and Morita equivalance; noncommutative integrodifferential

Noncommutative Geometry

Noncommutative Spaces It was noticed a long time ago that various properties of sets of points can be restated in terms of properties of certain commutative rings of functions over those sets. In

Quasi-Hopf $*$-Algebras

We introduce quasi-Hopf $*$-algebras i.e. quasi-Hopf algebras equipped with a conjugation (star) operation. The definition of quasi-Hopf $*$-algebras proposed ensures that the class of quasi-Hopf