Quantum Gravity and String Theory

    

A Kappa Deformed Clifford Algebra, Hopf Algebras and Quantum Gravity

Authors: Carlos Castro

Explicit deformations of the Lorentz (Conformal) algebra are performed by recurring to Clifford algebras. In particular, deformations of the boosts generators are possible which still retain the form of the Lorentz algebra. In this case there is an invariant value of the energy that is set to be equal to the Planck energy. A discussion of Clifford-Hopf $\kappa$-deformed quantum Poincare algebra follows. To finalize we provide further deformations of the Clifford geometric product based on Moyal star products associated with noncommutative spacetime coordinates.

Comments: 9 Pages.

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Submission history

[v1] 2015-07-25 17:30:34

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