Swampland constraints on 5d N = 1 supergravity

A bstract We propose Swampland constraints on consistent 5-dimensional 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...

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Bibliographic Details
Published in:The journal of high energy physics 2020-07, Vol.2020 (7)
Main Authors: Katz, Sheldon, Kim, Hee-Cheol, Tarazi, Houri-Christina, Vafa, Cumrun
Format: Article
Language:English
Subjects:
Branes
Classical and Quantum Gravitation
Elementary Particles
Gravitation theory
High energy physics
M theory
Magnetic monopoles
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Strings
Supergravity
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Summary:A bstract We propose Swampland constraints on consistent 5-dimensional 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 N = 1 supergravity theories.
ISSN:1029-8479
DOI:10.1007/JHEP07(2020)080