Monoid spaces and linearized gravity

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 the space of extended object on which waves functions take values has a stru...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 831; no. 1; pp. 12008 - 12012
Main Authors Contreras, E, Di Bartolo, C, Leal, L
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.03.2017
Subjects
Electromagnetism
Group theory
Monoids
Physics
Quantum gravity
Representations
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Summary: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 the space of extended object on which waves functions take values has a structure of commutative monoide instead of Abelian group. The generator of duality of the theory is realized in this representation and a geometrical interpretation is discussed.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/831/1/012008