Drinfeld twist and general relativity with fuzzy spaces

Download

index.pdf

Date

2007-01-21

Author

Kürkcüoğlu, Seçkin

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

146
views

78
downloads

We give a simplified formula for the star product on CPLn, which enables us to define a twist element suited for discussing a Drinfeld twist like structure on fuzzy complex projective spaces. The existence of such a twist will have several consequences for field theories on fuzzy spaces, some of which we discuss in the present paper. As expected, we find that the twist of the coproduct is trivial for the generators of isometries on CPLn. Furthermore, the twist allows us to define a covariant tensor calculus on CPLn from the perspective of the standard embedding of CPn in flat Euclidean space. That is, we can - in principle - find a representation of a truncated subgroup of the diffeomorphisms on CPn on the algebra of functions on CPLn. Using this calculus, we eventually write down an Einstein - Hilbert action on the fuzzy sphere, which is invariant under twisted diffeomorphisms.

Subject Keywords

Physics and Astronomy (miscellaneous)

URI

https://hdl.handle.net/11511/35523

Journal

CLASSICAL AND QUANTUM GRAVITY

DOI

https://doi.org/10.1088/0264-9381/24/2/003

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Circularly symmetric solutions of minimal massive gravity at its merger point Sarıoğlu, Bahtiyar Özgür (IOP Publishing, 2019-07-25) I find all the static circularly symmetric solutions of minimal massive 3D gravity at its merger point, construct stationary versions of these and discuss some of their geometric and physical properties. It turns out that apart from a static hairy black hole, there is also a static gravitational soliton, that has been overlooked in the literature.
WEYL INVARIANT TENSORS IN ODD DIMENSIONS DERELI, T; MUKHERJEE, M; TUCKER, RW (IOP Publishing, 1988-01-01) A set of symmetric, traceless, divergence-free differential forms, Weyl covariant under a conformal scaling of a (pseudo-)Riemannian metric, is constructed in 4n-1 dimensions.
Shortcuts to high symmetry solutions in gravitational theories Deser, S; Tekin, Bayram (IOP Publishing, 2003-11-21) We apply the Weyl method, as sanctioned by Palais' symmetric criticality theorems, to obtain those-highly symmetric-geometries amenable to explicit solution, in generic gravitational models and dimension. The technique consists of judiciously violating the rules of variational principles by inserting highly symmetric, and seemingly gauge fixed, metrics into the action, then varying it directly to arrive at a small number of transparent, indexless, field equations. Illustrations include spherically and axial...
Radiative decays of the heavy tensor mesons in light cone QCD sum rules Alıyev, Tahmasıb; Savcı, Mustafa (American Physical Society (APS), 2019-01-11) The transition form factors of the radiative decays of the heavy tensor mesons to heavy pseudoscalar and heavy vector mesons are calculated in the framework of the light-cone QCD sum rules method at the point Q(2) = 0. Using the obtained values of the transition form factors at the point Q(2) = 0, the corresponding decay widths are estimated. The results show that the radiative decays of the heavy-light tensor mesons could potentially be measured in the future planned experiments at LHCb.
Spherically symmetric solutions of Einstein plus non-polynomial gravities Deser, S.; Sarıoğlu, Bahtiyar Özgür; Tekin, Bayram (Springer Science and Business Media LLC, 2008-01-01) We obtain the static spherically symmetric solutions of a class of gravitational models whose additions to the General Relativity (GR) action forbid Ricci-flat, in particular, Schwarzschild geometries. These theories are selected to maintain the (first) derivative order of the Einstein equations in Schwarzschild gauge. Generically, the solutions exhibit both horizons and a singularity at the origin, except for one model that forbids spherical symmetry altogether. Extensions to arbitrary dimension with a cos...

Citation Formats

S. Kürkcüoğlu, “Drinfeld twist and general relativity with fuzzy spaces,” CLASSICAL AND QUANTUM GRAVITY, pp. 291–311, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35523.