Noncommutative Symmetries and Gravity
High Energy Physics - Theory
2016-09-06 v2
Abstract
Spacetime geometry is twisted (deformed) into noncommutative spacetime geometry, where functions and tensors are now star-multiplied. Consistently, spacetime diffeomorhisms are twisted into noncommutative diffeomorphisms. Their deformed Lie algebra structure and that of infinitesimal Poincare' transformations is defined and explicitly constructed. This allows to construct a noncommutative theory of gravity.
Cite
@article{arxiv.hep-th/0608172,
title = {Noncommutative Symmetries and Gravity},
author = {Paolo Aschieri},
journal= {arXiv preprint arXiv:hep-th/0608172},
year = {2016}
}
Comments
26 pages. Lectures given at the workshop `Noncommutative Geometry in Field and String Theories', Corfu Summer Institute on EPP, September 2005, Corfu, Greece. Version 2: Marie Curie European Reintegration Grant MERG-CT-2004-006374 acknowledged