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K-Homology and M-Theory physics

Objectif

We apply new mathematical tools of certain generalized cohomology theories, namely K-homology and differential cohomology, to study the problem of obtaining realistic four-dimensional backgrounds of string theory suitable for phenomelogical analyses. The consistency conditions implied by the cancellation of global anomalies in string theory are used to establish the conditions under which a given compactification is consistent. Twisted K-theory and K-homology is used to derive an effective action governing the dynamics of little string theory, with an eye to gaining insight into the world volume theory of the M5-brane in M-theory. The gauge theories defined by non-trivial background B-fields are developed and used to study a large N limit of the gravitational sector of string theory such that the limit is precisely M-theory. A crucial ingredient in our construction is the identification of the topological sectors of Type IIA string theory and M-theory with gauge theories based on the rank 8 exceptional Lie group E8.

Champ scientifique (EuroSciVoc)

Mots‑clés

Thème(s)

Appel à propositions

FP6-2002-MOBILITY-5
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Régime de financement

EIF - Marie Curie actions-Intra-European Fellowships

Coordinateur

HERIOT-WATT UNIVERSITY
Contribution de l’UE
Aucune donnée
Adresse


Royaume-Uni
Coût total
Aucune donnée