The M-theory dual of a 3 dimensional theory with reduced supersymmetry

Abstract

In a recent paper, Polchinski and Strassler found a string theory dual of a gauge theory with reduced supersymmetry. Motivated by their approach, we perturb the $\mathbb{N}=8$ theory living on a set of N M2 branes to $\mathbb{N}=2$, by adding fermion mass terms. We obtain M-theory duals corresponding to M2 branes polarized into M5 branes, in $Ad{S}_4\times S_7$. In the course of doing this we come across an interesting feature of the M5 brane action, which we comment on. Depending on the fermion masses we obtain discrete or continuous vacua for our theories. We also obtain dual descriptions for domain walls, instantons and condensates.

17 pages, REVTEX, extra remarks on domain walls and instantons, misprint corrected in (45), references and acknowledgement added

References in corpus (2)

• More CFTs and RG Flows from Deforming M2/M5-Brane Horizon
• Warping and vacua of $(S)Y{M}_{3+1}$

Cited by in corpus (52)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Bubbling AdS space and 1/2 BPS geometries
• Comments on Multiple M2-branes
• Bubbling Supertubes and Foaming Black Holes
• Mass-Deformed Bagger-Lambert Theory and its BPS Objects
• AdS Euclidean wormholes
• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• Supergravity pp-wave solutions with 28 and 24 supercharges
• A (Running) Bolt for New Reasons
• Holographic, N=1 Supersymmetric RG Flows on M2 Branes
• Persistent anti-brane singularities
• Nonrelativistic Superconformal M2-Brane Theory
• Supersymmetric vacua of mass-deformed M2-brane theory
• The Backreaction of Anti-M2 Branes on a Warped Stenzel Space
• Metastable Supertubes and non-extremal Black Hole Microstates
• Tunneling into Microstate Geometries: Quantum Effects Stop Gravitational Collapse
• Non-Abelian Vortices at Weak and Strong Coupling in Mass Deformed ABJM Theory
• Supersymmetric non-relativistic geometries in M-theory
• Towards the solution to the giant graviton puzzle
• Shedding light on new Wess-Zumino couplings with their corrections to all orders in alpha-prime
• Holography of mass-deformed M2-branes
• Vortices, Q-balls and Domain Walls on Dielectric M2-branes
• The Supergravity Dual of the BMN Matrix Model
• Renormalized Entanglement Entropy Flow in Mass-deformed ABJM Theory
• M/F-Theory as Mf-Theory
• 5D Yang-Mills instantons from ABJM Monopoles
• The polarization of F1 strings into D2 branes: "Aut Caesar aut nihil"
• Non-Supersymmetric SO(3)-Invariant Deformations of N=1* Vacua and their Dual String Theory Description
• M5 brane from mass deformed BLG theory
• String Theory Duals for Mass-deformed SO(N) and USp(2N) N=4 SYM Theories
• Coupling between M2-branes and Form Fields
• Non-commutative Branes from M-theory
• Supersymmetric solutions from N=5 gauged supergravity
• Interaction between M2-branes and Bulk Form Fields
• Exotic polarizations of D2 branes and oblique vacua of (S)YM${}_{2+1}$
• Supersymmetric solutions from N=6 gauged supergravity
• Exact N=2 Supergravity Solutions With Polarized Branes
• Backreaction of Localised Sources in String Compactifications
• Metastability in Bubbling AdS Space
• Dielectric-branes in Non-supersymmetric SO(3)-invariant Perturbation of Three-dimensional N=8 Yang-Mills Theory
• Dual Localized Objects From M-Branes Over AdS_4 x S^7/Z_k
• Holographic RG flows and symplectic deformations of N=4 gauged supergravity
• Instantons in AdS${}_4$ From (anti)Membranes Wrapping $S^7$ To Bose-Fermi Duality in CFT${}_3$'s
• Gravity from Entanglement and RG Flow in a Top-down Approach
• Matrix Theory for the DLCQ of Type IIB String Theory on the AdS/Plane-wave
• Localised Anti-Branes in Flux Backgrounds
• Holographic duals of the $\mathcal{N}=1$* gauge theory
• Dielectric D0-Branes in Near-Horizon D-Brane Backgrounds and D-Strings under Electric RR Fluxes
• A Truncation of 11-Dimensional Supergravity for Fubini-Like Instantons in AdS_4/CFT_3
• Higgs-like (pseudo)Scalars in AdS${}_4$, Marginal and Irrelevant Deformations in CFT_3 and Instantons on S^3
• Three-Form Flux with N=2 Supersymmetry on AdS_5 x S^5
• Mass Deformation of the Multiple M2 Branes Theory