Paolo Aschieri
Noncommutative Symmetries and Gravity
Preprint series:
ESI preprints
- MSC:
- 58B30 Noncommutative differential geometry and topology, See also {46L30, 46L87, 46L89}
- 83C99 None of the above but in this section
- 58F06 Geometric quantization (applications of representation theory), See also {22E45, 81S10}
- 81R50 Quantum groups and related algebraic methods, See Also {16W30, 17B37}
PACS: 02.40.Gh,02.20.Uw,04.20.-q,11.10.Nx,04.60.-m
Abstract: pacetime 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 Poincar\'e transformations
is defined and explicitly constructed.
This allows to construct a noncommutative theory of gravity.