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Swampland Constraints on 5d mathcal{N}=1 Supergravity

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arxiv 2004.14401 v2 pith:VN5GSRCJ submitted 2020-04-29 hep-th math.AG

Swampland Constraints on 5d mathcal{N}=1 Supergravity

classification hep-th math.AG
keywords constraintstheoriesstringssupergravitymonopolespecialswamplandarise
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose Swampland constraints on consistent 5-dimensional ${\cal N}=1$ supergravity theories. We focus on a special class of BPS magnetic monopole strings which arise in gravitational theories. The central charges and the levels of current algebras of 2d CFTs on these strings can be calculated by anomaly inflow mechanism and used to provide constraints on the low-energy particle spectrum and the effective action of the 5d supergravity based on unitarity of the worldsheet CFT. In M-theory, where these theories are realized by compactification on Calabi-Yau 3-folds, the special monopole strings arise from wrapped M5-branes on special ("semi-ample") 4-cycles in the threefold. We identify various necessary geometric conditions for such cycles to lead to requisite BPS strings and translate these into constraints on the low-energy theories of gravity. These and other geometric conditions, some of which can be related to unitarity constraints on the monopole worldsheet, are additional candidates for Swampland constraints on 5-dimensional ${\cal N}=1$ supergravity theories.

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Cited by 4 Pith papers

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