Exotic supergravities and the Swampland
Miguel Montero, Michelangelo Tartaglia

TL;DR
This paper investigates exotic supergravity theories in six dimensions, showing that the $(4,0)$ theory cannot be a consistent UV completion of 5D supergravity due to global symmetry constraints, unlike the $(3,1)$ theory.
Contribution
It demonstrates that the $(4,0)$ supergravity theory necessarily possesses global symmetries upon compactification, ruling out its role as a consistent UV completion, and clarifies the unique properties of the $(3,1)$ theory.
Findings
$(4,0)$ theory has an exact global symmetry upon compactification.
$(3,1)$ theory does not have this global symmetry problem.
Most exotic supergravities either produce multiple gravitons or exhibit global symmetries.
Abstract
In six dimensions, there is an exotic supermultiplet that contains only fields of spin , but no graviton, and that on a circle reduces to 5D supergravity. It has been proposed that, if suitable interactions exist, the theory might provide a consistent alternative UV completion for 5D supergravity, realizing a supersymmetric version of asymptotic safety. In this note we argue that any Lorentz-invariant theory (interacting or not) carries an exact global symmetry when compactified on , and is therefore incompatible with the Swampland no global symmetries conjecture. Another example of exotic supergravity, the 6D theory, does not have this problem. We study the general case and find that the only exotic spin-2 field that reduces to Einsteinian gravity and has no global symmetries when compactified on a…
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Geophysics and Gravity Measurements
