Notes on supersymmetry enhancement of ABJM theory

Holographic RG flow in a new SO(3) × SO(3) sector of ω-deformed SO(8) Abstract: We consider a certain N = 1 supersymmetric, SO(3) × SO(3) invariant, subsector of the ω-deformed family of SO(8)-gauged N = 8 four-dimensional supergravities. The theory contains two scalar fields and two pseudoscalar fields. We look for stationary points of the scalar potential, corresponding to AdS vacua in the theory. One of these, which breaks all supersymmetries but is nonetheless stable, is new. It exists only when ω = 0. We construct supersymmetric domain wall solutions in the truncated theory, and we give a detailed analysis of their holographic dual interpretations using the AdS/CFT correspondence. Domain walls where the pseudoscalars vanish were studied previously, but those with non-vanishing pseudoscalars, which we analyse numerically, are new. The pseudoscalars are associated with supersymmetric mass deformations in the CFT duals. When ω is zero, the solutions can be lifted to M-theory, where they approach the Coulomb-branch flows of dielectric M5-branes wrapped on S 3 in the deep IR.

“…is enhanced from N = 6 to N = 8 [33][34][35]. Therefore, our domain-wall solutions describe the RG flows on M2-branes driven by N = 1 deformations.…”

Section: Jhep08(2015)122mentioning

confidence: 99%

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

Pang

Pope

Rong

2015

“…The hidden symmetry currents are realized by monopole operators. This proposal has been proved using controlled deformation to weak coupling [6]; for other approaches see [14,13,15].…”

Section: The Moduli Spacementioning

confidence: 99%

Dualities between $ \mathcal{N} = 8 $ superconformal field theories in three dimensions

Bashkirov¹,

Kapustin²

2011

101

We show that an infinite family of N = 6 d = 3 superconformal Chern-Simonsmatter theories has hidden N = 8 superconformal symmetry and hidden parity on the quantum level. This family of theories is different from the one found by Aharony, Bergman, Jafferis and Maldacena, as well as from the theories constructed by Bagger and Lambert, and Gustavsson. We also test several conjectural dualities between BLG theories and ABJ theories by comparing superconformal indices of these theories.

“…Even before the discovery of the ABJM model, it has been mentioned in [3] in connection with the hidden flavor symmetries proposed by Intriligator and Seiberg [4]. More recently there have been several works which studied monopole operators in the ABJM model with the goal of showing the existence of hidden conserved currents enhancing N = 6 supersymmetry to N = 8 supersymmetry [5,6,7]; other works which studied monopole operator are [8,9]. Our approach is similar to Benna, Klebanov and Klose (BKK) [5] in that we deform the theory in a controlled manner which makes it weakly coupled but breaks part of the conformal symmetry.…”

Section: Introductionmentioning

confidence: 99%

Supersymmetry enhancement by monopole operators

Bashkirov

Kapustin

2011

103

172

We describe a method which allows one to study hidden symmetries in a large class of strongly coupled supersymmetric gauge theories in three dimensions. We apply this method to the ABJM theory and to the infrared limit of N = 4 SQCD with adjoint and fundamental matter. We show that the U (N ) ABJM model with Chern-Simons level k = 1 or k = 2 has hidden N = 8 supersymmetry. Hidden supersymmetry is also shown to occur in N = 4 d = 3 SQCD with one fundamental and one adjoint hypermultiplet. The latter theory, as well as the U (N ) ABJM theory at k = 1, are shown to have a decoupled free sector. This provides evidence that both models are dual to the infrared limit of N = 8 U (N ) super-Yang-Mills theory.