Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 9, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP09(2020)068
Keywords
Global Symmetries; Space-Time Symmetries; Classical Theories of Gravity
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Funding
- MINECO [FPA2016-76005-C2-1-P]
- Consolider CPAN
- Spanish government (MINECO/FEDER) under project of ICCUB (Unidad de Excelencia Mara de Maeztu) [MDM-20140369]
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We investigate a systematic approach to include curvature corrections to the isometry algebra of flat space-time order-by-order in the curvature scale. The Poincare algebra is extended to a free Lie algebra, with generalised boosts and translations that no longer commute. The additional generators satisfy a level-ordering and encode the curvature corrections at that order. This eventually results in an infinite-dimensional algebra that we refer to as Poincare(infinity), and we show that it contains among others an (A)dS quotient. We discuss a non-linear realisation of this infinite-dimensional algebra, and construct a particle action based on it. The latter yields a geodesic equation that includes (A)dS curvature corrections at every order.
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