Dimensional Reduction of Cobordism and K-theory

Autor: Ralph Blumenhagen, Niccolò Cribiori, Christian Kneißl, Andriana Makridou
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2023, Iss 3, Pp 1-56 (2023)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP03(2023)181
Popis: Abstract It has been proposed that cobordism and K-theory groups, which can be mathematically related in certain cases, are physically associated to generalised higher-form symmetries. As a consequence, they should be broken or gauged in any consistent theory of quantum gravity, in accordance with swampland conjectures. We provide further support to this idea by showing that cobordism and K-theory groups of a general manifold X reproduce the pattern of symmetries expected from the dimensional reduction of the theory on X, as well as their breaking and gauging. To this end, we employ the Atiyah-Hirzebruch spectral sequence to compute such groups for common choices of X in string compactifications.
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