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The Coulomb branch of N=4 SYM and dilatonic scions in supergravity
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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 (SYM) 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.
Forward citations
Cited by 4 Pith papers
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Holographic analysis of near-conformal dynamics and light dilaton
In bottom-up holographic models of near-conformal gauge theories, a parametrically light dilaton exists only for nearly Neumann infrared boundary conditions, and this persists when a full ultraviolet RG flow is included.
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Light dilaton from top-down holographic confinement with magnetic fluxes
In a two-flux family of top-down holographic confining theories, the lightest scalar is an approximate dilaton with mass about one tenth of the lightest spin-2 confinement scale, over a wide, untuned region of paramet...
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On the stability of holographic confinement with magnetic fluxes
A bottom-up holographic model with magnetic flux on a circle shows a confining-to-conformal phase transition that occurs before a tachyonic instability, with the lightest scalar near the transition resembling a dilaton.
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Dilatonic states, phase transitions, and criticality in holography
A review of holographic examples indicating that a light dilaton appears near critical endpoints of first-order zero-temperature phase transitions, with explicit but lower-dimensional demonstrations.
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