Spatially modulated and supersymmetric deformations of ABJM theory

Abstract

We construct supersymmetric solutions of D = 11 supergravity, preserving 1/4 of the supersymmetry, that are holographically dual to ABJM theory which has been deformed by spatially varying mass terms depending on one of the two spatial directions. We show that the BPS equations reduce to the Helmholtz equation on the complex plane leading to rich classes of new solutions. In particular, the construction gives rise to infinite classes of supersymmetric boomerang RG flows, as well as generalising a known Janus solution.

AdS Q-soliton and inhomogeneously mass-deformed ABJM model

“…the deformations preserve N = 3 supersymmetry 3 [14,15] and various dual geometries have been studied in [12,13]. Here q denotes the Chern-Simons level and other fields are defined in the ABJM theory.…”

“…On the other hand, since the mass function is originated from the 4-form field strength with the dependence of a worldvolum coordinate of M2branes [14] and the Susy Q solution has a special form of the mass function, one may take an arbitrary function as the mass function extending the Susy Q solution. There are other dual solutions [13,[19][20][21] to the ImABJM models, which are not included in the Susy Q solution.…”

“…A gravity dual to a finite temperature system may be given by a black brane. Thus it is very natural to find a black brane solution admitted by the action (2) studied in [12,13]. The action in question contains a complex scalar field dual to the conformal dimension 1 and 2 operators in the ABJM theory.…”

Thermodynamics of inhomogeneously mass-deformed ABJM model and pressure anisotropy

“…In [12,13], the authors considered a special case of N = 4 supergravity action coupled to a single chiral multiplet. See (1) for the bosonic part of the action.…”

Aspects of massive ABJM models with inhomogeneous mass parameters

“…Later, supersymmetric (SUSY) Q-lattice solution was found in 4-dimensional gauged supergravity, and then it can be uplifted to 11-dimensions [28]. It was also generalized to the case of mass-functions with spatial modulations [29]. For a special form of mass-function m(x) ∼ sin(q x) with a constant q, it was argued that the corresponding dual field theory of the 11-dimensional Q-lattice solution is the N = 3 ImABJM model [7] with the same mass-function.…”