From conformal to confining field theories using holography

We find AdS soliton solutions in 5-dimensional gauged supergravity, obtained from the S5 compactification of type IIB, with a dilaton saturating the Breitenlohner-Freedman bound. The solutions depend on the value of the periodicity of an S1 cycle and the boundary values for two U(1) gauge fields, and give a scalar VEV in the dual field theory. At certain values of the gauge sources we have supersymmetric solutions, corresponding to supersymmetric flows, which are a deformation of the Coulomb Branch flow in $$ \mathcal{N} $$ N = 4 SYM. The solutions parameterize quantum phase transitions between a discrete spectrum phase, a continuous above a mass gap phase, and a continuous without a mass gap phase, in 2+1 dimensions. We analyze the phase diagram in terms of the QFT sources and we find that for every value for them, there are always two branches of supergravity solutions. We find that these two branches of solitons correspond to two possible vacua existing in the dual QFT when fermions are anti-periodic on an S1. We describe the interconnection of these states in the QFT at strong ’t Hooft coupling in the large N limit. In 10 dimensions, our solutions are related to deformations of D3-brane distributions.

Section: Jhep05(2024)217mentioning

confidence: 99%

Supersymmetric AdS solitons and the interconnection of different vacua of $$ \mathcal{N} $$ = 4 Super Yang-Mills

Anabalón,

Nastase,

Oyarzo

2024

Supersymmetric smooth distributions of M2-branes as AdS solitons

Anabalón,

Astefanesei,

Gallerati

et al. 2024

We show that the singularities of certain distributions of M2-branes can be removed by adding a Wilson loop around a compact direction along the brane. The holographic coordinate naturally ends up before the singularity and the resulting spacetime provides an AdS soliton configuration, albeit possibly supersymmetric. We study the phase space diagram of these M2-branes distributions endowed with Wilson loops and show that different distributions are interconnected, providing a rich structure of phase transitions at zero temperature.

A story of non-conformal branes: spindles, disks, circles and black holes

Boisvert,

Ferrero

2024

We consider the (p + 2)-dimensional gauged supergravities arising as a consistent truncation of type II on S8−p, which are associated with the near-horizon limit of Dp-branes, for p = 2, 4, 5, 6 (and NS5-branes for p = 5). In a truncation of these theories with only abelian gauge fields and scalars, we find several classes of new solutions, with and without supersymmetry. Our ansatz for such backgrounds is inspired by the recent progress in the study of branes wrapped on orbifolds, but unlike those examples we consider “non-conformal branes”, i.e. no Anti de Sitter factors in the metric. Focusing on cases with non-trivial gauge fields, we can divide the solutions that we present in three categories: 1) branes wrapping Riemann surfaces, spindles and disks, 2) branes wrapped on a circle with a holonomy for the gauge field along the circle and 3) electrically charged black holes in gauged supergravity, which uplift to rotating branes in ten dimensions. We carefully analyze the conditions for supersymmetry in all these cases.