Teleparallelism in the algebraic approach to extended geometry
Artikel i vetenskaplig tidskrift, 2022

Extended geometry is based on an underlying tensor hierarchy algebra. We extend the previously considered L-infinity structure of the local symmetries (the diffeomorphisms and their reducibility) to incorporate physical fields, field strengths and Bianchi identities, and identify these as elements of the tensor hierarchy algebra. The field strengths arise as generalised torsion, so the naturally occurring complex in the L-infinity algebra is ... <- torsion BI's <- torsion <- vielbein <- diffeomorphism parameters <- ... In order to obtain equations of motion, which are not in this complex, (pseudo-)actions, quadratic in torsion, are given for a large class of models. This requires considering the dual complex. We show how local invariance under the compact subgroup locally defined by a generalised metric arises as a "dual gauge symmetry" associated with a certain torsion Bianchi identity, generalising Lorentz invariance in the teleparallel formulation of gravity. The analysis is performed for a large class of finite-dimensional structure groups, with E-5 as a detailed example. The continuation to infinite-dimensional cases is discussed.

String Duality

Space-Time Symmetries

Classical Theories of Gravity

Författare

Martin Cederwall

Chalmers, Fysik, Subatomär, högenergi- och plasmafysik

Jakob Palmkvist

Örebro universitet

Journal of High Energy Physics

1126-6708 (ISSN) 1029-8479 (eISSN)

Vol. 2022 4 164

Ämneskategorier

Algebra och logik

Geometri

Matematisk analys

DOI

10.1007/JHEP04(2022)164

Mer information

Senast uppdaterat

2024-07-17