We review some aspects of the implementation of spacetime symmetries in noncommutative
field theories, emphasizing their origin in string theory and how they may be used to …

These are lecture notes for an introductory course on noncommutative field and gauge
theory. We begin by reviewing quantum mechanics as the prototypical noncommutative …

We prove that the Moyal product is covariant under linear affine spacetime transformations.
From the covariance law, by introducing an (x, Θ)-space where the spacetime coordinates …

Twisted conformal symmetry in noncommutative two-dimensional quantum field theory Page 1
Twisted conformal symmetry in noncommutative two-dimensional quantum field theory Fedele …

Reparametrization invariant dynamics on a sphere, being parameterized by angular
momentum coordinates, represents an example of noncommutative theory. It can be …

We consider two quantum phase spaces which can be described by two Hopf algebroids
linked with the well-known θ μ ν-deformed D= 4 Poincaré-Hopf algebra H. The first algebroid …

It is shown how a construction of so called θ-Poincare group-a global counterpart of twisted
Poincare algebra (which can be considered as symmetry algebra of Noncommutative Field …

R-matrix method is used to construct supersymmetric extensions of θ-Euclidean group
preserving N= 12 supersymmetry and its three-parameter generalization. These quantum …

arXiv:hep-th/0606107v1 12 Jun 2006 Page 1 arXiv:hep-th/0606107v1 12 Jun 2006 Hidden
symmetry and Hopf algebra JM Gracia-Bondıa a,b a Departamento de Fısica Teórica I …

Hidden symmetry and Hopf algebra Page 1 Monografıas de la Real Academia de Ciencias de
Zaragoza. 29: 129–140, (2006). Hidden symmetry and Hopf algebra JM Gracia-Bondıaa,b a …