# Coulomb branch of N=4 SYM and dilatonic scions in supergravity

Abstract : We find a parametrically light dilaton in special confining theories in three dimensions. Their duals form what we call a scion of solutions to the supergravity associated with the large-$N$ limit of the Coulomb branch of the $N=4$ Super-Yang-Mills theory. The supergravity description contains one scalar with bulk mass that saturates the Breitenlohner-Freedman unitarity bound. The new solutions are defined within supergravity, they break supersymmetry and scale invariance, and one dimension is compactified on a shrinking circle, yet they are completely regular. An approximate dilaton appears in the spectrum of background fluctuations (or composite states in the confining theory), and becomes parametrically light along a metastable portion of the scion of new supergravity solutions, in close proximity of a tachyonic instability. A first-order phase transition separates stable backgrounds, for which the approximate dilaton is not parametrically light, from metastable and unstable backgrounds, for which the dilaton becomes parametrically light, and eventually tachyonic.
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https://hal.archives-ouvertes.fr/hal-03186214
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Submitted on : Tuesday, March 30, 2021 - 10:31:52 PM
Last modification on : Friday, October 15, 2021 - 4:40:34 PM

### Citation

Daniel Elander, Maurizio Piai, John Roughley. Coulomb branch of N=4 SYM and dilatonic scions in supergravity. Physical Review D, American Physical Society, 2021, 104 (4), pp.046003. ⟨10.1103/PhysRevD.104.046003⟩. ⟨hal-03186214⟩

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