Infinite and finite consistent truncations on deformed generalised parallelisations

Autor: Chris D. A. Blair, Martín Pico, Oscar Varela
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 9, Pp 1-41 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP09(2024)065
Popis: Abstract Given a manifold M $$ \mathbbm{M} $$ admitting a maximally supersymmetric consistent truncation, we show how to formulate new consistent truncations by restricting to a set of Kaluza-Klein modes on M $$ \mathbbm{M} $$ invariant under some subgroup of the group of isometries of M $$ \mathbbm{M} $$ . These truncations may involve either finite or infinite sets of modes. We provide their global description using exceptional generalised geometry to construct a ‘deformed’ generalised parallelisation starting with that on M $$ \mathbbm{M} $$ . This allows us to explicitly embed known consistent truncations directly into exceptional generalised geometry/exceptional field theory, and to obtain the equations governing situations where the consistent truncation retains an infinite tower of modes.
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