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arXiv · 1612.05563

A monoidal representation for linearized gravity

Ernesto Contreras·Cayetano Di Bartolo·Lorenzo Leal
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Abstract

We propose an alternative representation for linear quantum gravity. It is based on the use of a structure that bears some resemblance to the Abelian loop representation used in electromagnetism but with the difference that space of extended object on which waves functions take values have a structure of commutative monoid instead of Abelian group. The generator of duality of the theory is realized in this representation and a geometrical interpretation is discussed.

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Ernesto Contreras, Cayetano Di Bartolo, Lorenzo Leal. 2016-12-16. A monoidal representation for linearized gravity. https://arxiv.org/abs/1612.05563

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