Bootstrapping $O(N)$ Vector Models with Four Supercharges in $3\le d\le 4$

Abstract

We analyze the conformal bootstrap constraints in theories with four supercharges and a global $O(N)\times U(1)$ flavor symmetry in $3\le d\le 4$ dimensions. In particular, we consider the 4-point function of $O(N)$-fundamental chiral operators $Z_i$ that have no chiral primary in the $O(N)$-singlet sector of their OPE. We find features in our numerical bounds that nearly coincide with the theory of $N+1$ chiral super-fields with superpotential $W=X{\sum }_{i=1}^N{Z}_i^2$, as well as general bounds on SCFTs where ${\sum }_{i=1}^N{Z}_i^2$ vanishes in the chiral ring.

arXiv comment25 pages, 8 figures

References in corpus (15)

• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• Bootstrapping the O(N) Vector Models
• Contact Terms, Unitarity, and F-Maximization in Three-Dimensional Superconformal Theories
• The $(2,0)$ superconformal bootstrap
• Bounds in 4D Conformal Field Theories with Global Symmetry
• The $\mathcal{N}=8$ Superconformal Bootstrap in Three Dimensions
• Bootstrapping the Three-Dimensional Supersymmetric Ising Model
• Bootstrapping SCFTs with Four Supercharges
• Bootstrapping $O(N)$ Vector Models in $4<d<6$
• Bounds on $\mathcal{N}=1$ Superconformal Theories with Global Symmetries
• The superconformal bootstrap for structure constants
• The soft scalar mass $\beta$-function
• Generalized bootstrap equations for N=4 SCFT
• Quasi-infra-red fixed points and renormalisation group invariant trajectories for non-holomorphic soft supersymmetry breaking
• Non-zeta knots in the renormalization of the Wess-Zumino model?

Cited by in corpus (14)

• Unitarity violation at the Wilson-Fisher fixed point in 4-epsilon dimensions
• The 3d Stress-Tensor Bootstrap
• Radial expansion for spinning conformal blocks
• PyCFTBoot: A flexible interface for the conformal bootstrap
• Bootstrapping Mixed Correlators in the Five Dimensional Critical O(N) Models
• Decoding a Three-Dimensional Conformal Manifold
• Bootstrap experiments on higher dimensional CFTs
• Mixed Scalar-Current bootstrap in three dimensions
• Inverse Bootstrapping Conformal Field Theories
• Operator mixing in $\mathbf{\epsilon }$-expansion: scheme and evanescent (in)dependence
• Bootstrapping traceless symmetric $O(N)$ scalars
• New method for the conformal bootstrap with OPE truncations
• Exploring $SU(N)$ adjoint correlators in $3d$
• Conformal Two-Point Correlation Functions from the Operator Product Expansion