Electric/magnetic duality and RG flows in AdS4/CFT3

Abstract

A large set of relevant deformations of the ABJM field theory defined on a stack of M2 branes is captured holographically by D = 4 N = 8 SO(8)-gauged supergravity, which has accordingly been applied to study renormalisation group (RG) flows of the field theory between distinct superconformal phases. Recently, it has been discovered that this supergravity is not unique, and that a one-parameter family of gaugings of maximal supergravity exists. The parameter is an angle that measures the mixture of electric and magnetic vectors that gauge SO(8) dyonically. We construct and comprehensively characterise all domain walls between the critical points of the new supergravities with at least SU(3) invariance, which are expected to be dual to RG flows of new field theories defined at least at large N . We also construct some walls running off to infinity in scalar space, which we expect to be dual to Coulomb branch flows of these field theories.

Holographic RG flow in a new SO(3) × SO(3) sector of ω-deformed SO(8) gauged N = 8 $$ \mathcal{N}=8 $$ supergravity

“…Note that the potential is invariant under the transformations 9) and so inequivalent theories are characterised by the parameter ω lying in the interval [0, π/8].…”

“…Cases that have been studied involve retaining the subset of scalar fields invariant under an SO(7), G 2 , SU(3) or SO(3) × SO(3) subgroup [3,[5][6][7][8][9], or else the seven scalars parameterising the diagonal elements of the SL(8, R)/SO(8) coset associated with the 35 self-dual scalars [10]. These various truncations are parallel to the consistent scalar-field truncations performed for the the original de Wit-Nicolai theory [11][12][13][14][15][16][17][18][19].…”

An ω deformation of gauged STU supergravity

“…Also, the gauge coupling parameters g 1 and g 2 appearing in the definitions of the Yang-Mills field strengths, 2) , and in the gauge covariant derivatives acting on the fermion fields, will now have more complicated expressions in terms ofg 1 andg 2 . Note that from (4.7) we have g An alternative way to write the bosonic sector of the de Roo-Wagemans theory is to absorb the angle (α − β) as a phase factor in a new complex scalar 10) JHEP04 (2014)175 in terms of which (4.1) becomes…”

“…There have subsequently been a number of studies in which truncations of the new ω-deformed maximal supergravity have been made, typically with the focus being on finding scalar-field truncations in which the scalar potential still has a non-trivial dependence on the parameter ω [5][6][7][8][9][10][11]. This can lead to a richer structure of anti-de Sitter (AdS) stationary points and domain-wall solutions, with the nature of the vacuum state now being dependent on ω.…”

Hairy planar black holes in higher dimensions

“…(28) in [31]) and with the novel omega-deformed gauged supergravity [32]. It is worth remarking that our pursuit of an integrable model in the Einstein-scalar system leads exactly to the relevant interactions predicted by the embedding tensor formalism [33,34].…”