Emergent Supersymmetry at Large $N$

Abstract

We search for infrared fixed points of Gross-Neveu Yukawa models with matrix degrees of freedom in $d=4-\epsilon$. We consider three models -- a model with $SU(N)$ symmetry in which the scalar and fermionic fields both transform in the adjoint representation, a model with $SO(N)$ symmetry in which the scalar and fermion fields both transform as real symmetric-traceless matrices, and a model with $SO(N)$ symmetry in which the scalar field transforms as a real symmetric-traceless matrix, while the fermion transforms in the adjoint representation. These models differ at finite $N$, but their large-$N$ limits are perturbatively equivalent. The first two models contain a supersymmetric fixed point for all $N$, which is attractive to all classically-marginal deformations for $N$ sufficiently large. The third model possesses a stable fixed point that, although non-supersymmetric, gives rise to many correlation functions that are identical to those of a supersymmetric fixed point when $N$ is sufficiently large. We also find several non-supersymmetric fixed points at finite and large-$N$. Planar diagrams dominate the large-$N$ limit of these fixed points, which suggests the possibility of a stringy holographic dual description.

arXiv comment80 pages, 19 figures. v2: fixed typos and added references; v3: accepted for publication in JHEP

References in corpus (86)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• AdS Dual of the Critical O(N) Vector Model
• Two-Loop Renormalization Group Equations for Soft Supersymmetry-Breaking Couplings
• 4d Conformal Field Theories and Strings on Orbifolds
• The D1/D5 System And Singular CFT
• Interactions and phase transitions on graphene's honeycomb lattice
• Quantum Field Theory in the Large N Limit: a review
• On Conformal Theories in Four Dimensions
• Chern-Simons Theory with Vector Fermion Matter
• Theory of interacting electrons on the honeycomb lattice
• Emergent Space-time Supersymmetry at the Boundary of a Topological Phase
• d=3 Bosonic Vector Models Coupled to Chern-Simons Gauge Theories
• Correlation Functions of Large N Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• Relativistic Mott criticality in graphene
• Volume independence in large Nc QCD-like gauge theories
• Two-loop Renormalization Group Equations in General Gauge Field Theories
• Four-loop critical exponents for the Gross-Neveu-Yukawa models
• Large N limit of orbifold field theories
• Exact Results in Non-Supersymmetric Large N Orientifold Field Theories
• Quantum phase transitions in d-wave superconductors
• Emergence of supersymmetry at a critical point of a lattice model
• The Thermal Free Energy in Large N Chern-Simons-Matter Theories
• SUSY Relics in One-Flavor QCD from a New 1/N Expansion
• Computation of Critical Exponent ηat O(1/N^3) in the Four Fermi Model in Arbitrary Dimensions
• New Methods in QFT and QCD: From Large-N Orbifold Equivalence to Bions and Resurgence
• Correlators of Large N Fermionic Chern-Simons Vector Models
• Phases of large $N$ vector Chern-Simons theories on $S^2\times S^1$
• (In)validity of large N orientifold equivalence
• Perturbative Search for Fixed Lines in Large N Gauge Theories
• Large N Field Theory and AdS Tachyons
• Fractal dimensions of self-avoiding walks and Ising high-temperature graphs in 3D conformal bootstrap
• Perturbative Gauge Theory and Closed String Tachyons
• Gross-Neveu-Yukawa model at three loops and Ising critical behavior of Dirac systems
• Necessary and sufficient conditions for non-perturbative equivalences of large N orbifold gauge theories
• Refining the Proof of Planar Equivalence
• Seeking Fixed Points in Multiple Coupling Scalar Theories in the $\epsilon$ Expansion
• Critical behavior of Dirac fermions from perturbative renormalization
• Four loop renormalization of the Gross-Neveu model
• Quantum Electrodynamics in d=3 from the epsilon-expansion
• Effective potential in non-supersymmetric SU(N) x SU(N) gauge theory and interactions of type 0 D3-branes
• Notes on Spinning Operators in Fermionic CFT
• Non-perturbative equivalences among large N gauge theories with adjoint and bifundamental matter fields
• Revisiting RGEs for general gauge theories
• The Gross-Neveu-Yukawa Archipelago
• Deligne Categories in Lattice Models and Quantum Field Theory, or Making Sense of $O(N)$ Symmetry with Non-integer $N$
• Constraints on 3- and 4-loop $\beta$-functions in a general four-dimensional Quantum Field Theory
• Duality and Higher Temperature Phases of Large $N$ Chern-Simons Matter Theories on $S^2\times S^1$
• Chern Simons Bosonization along RG Flows
• Exploring The Holographic Swampland
• $\epsilon$-Expansion in the Gross-Neveu Model from Conformal Field Theory
• On Calculation of $2+\veps$ RG Functions in the Gross Neveu Model from Large $N$ Expansions of Critical Exponents
• Curious Aspects of Three-Dimensional $\mathcal{N}=1$ SCFTs
• Analytic and Numerical Bootstrap of CFTs with $O(m)\times O(n)$ Global Symmetry in 3D
• On the Conformal Field Theory Duals of type IIA AdS_4 Flux Compactifications
• Anomalous Dimensions in Non-Supersymmetric Bifundamental Chern-Simons Theories
• Can large Nc equivalence between supersymmetric Yang-Mills theory and its orbifold projections be valid?
• Four-Loop Gauge and Three-Loop Yukawa Beta-Functions in a General Renormalizable Theory
• Dirac Fast Scramblers
• Asymptotic safety with Majorana fermions and new large N equivalences
• $\epsilon$-Expansion in the Gross-Neveu CFT
• Putting the Boot into the Swampland
• $\mathcal{N}=1$ dualities in 2+1 dimensions
• Scaling dimensions in QED${}_3$ from the $\epsilon$-expansion
• Four loop MSbar mass anomalous dimension in the Gross-Neveu model
• A Non-Supersymmetric Large-N 3D CFT And Its Gravity Dual
• Higher-spin currents in the Gross-Neveu model at $1/n^2$
• Pure Supersymmetric AdS and the Swampland
• Moduli Stabilisation and the Holographic Swampland
• Aspects of AdS flux vacua with integer conformal dimensions
• Seeking SUSY fixed points in the $4-\epsilon$ expansion
• On the Higher Spin Spectrum of Chern-Simons Theory coupled to Fermions in the Large Flavour Limit
• RG Limit Cycles and Unconventional Fixed Points in Perturbative QFT
• Bootstrapping traceless symmetric $O(N)$ scalars
• Operator mixing in $\mathbf{\epsilon }$-expansion: scheme and evanescent (in)dependence
• Chern-Simons theory coupled to bifundamental scalars
• Double-Trace Flows and the Swampland
• Towards general scalar-Yukawa renormalisation group equations at three-loop order
• N=1 QED in 2+1 dimensions: Dualities and enhanced symmetries
• Disordered vector models: from higher spins to incipient strings
• Line of Fixed Points in Gross-Neveu Theories
• Holographic Perspectives On Models Of Moduli Stabilization In M-Theory
• Spectrum of a Gross-Neveu Yukawa model with flavor disorder in $d=3$
• The fate of non-supersymmetric Gross-Neveu-Yukawa fixed point in two dimensions
• Orientifold daughter of N=4 SYM and double-trace running
• The $\epsilon$ expansion and Universality in three dimensions