Conformal Bootstrap in Three Dimensions?

Abstract

We discuss an idea of how 3D critical exponents can be determined by Conformal Field Theory techniques.

16 pages, 5 figures

References in corpus (5)

• Spinning Conformal Blocks
• Bounds on 4D Conformal and Superconformal Field Theories
• Conformal Partial Waves: Further Mathematical Results
• Bounds in 4D Conformal Field Theories with Global Symmetry
• Central Charge Bounds in 4D Conformal Field Theory

Cited by in corpus (32)

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• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• Projectors, Shadows, and Conformal Blocks
• The Bootstrap Program for Boundary CFT_d
• Bootstrapping the O(N) Vector Models
• Radial Coordinates for Conformal Blocks
• Space-time S-matrix and Flux tube S-matrix II. Extracting and Matching Data
• The $\mathcal{N}=8$ Superconformal Bootstrap in Three Dimensions
• Conformal Field Theories in Fractional Dimensions
• Conformal Invariance in the Long-Range Ising Model
• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Three Loop Analysis of the Critical $O(N)$ Models in $6-\epsilon$ Dimensions
• The 3d Stress-Tensor Bootstrap
• Bootstrapping $O(N)$ Vector Models in $4<d<6$
• Fractal dimensions of self-avoiding walks and Ising high-temperature graphs in 3D conformal bootstrap
• Eikonalization of Conformal Blocks
• $\mathcal{N}=1$ Superconformal Blocks for General Scalar Operators
• A Semidefinite Program Solver for the Conformal Bootstrap
• Casimir recursion relations for general conformal blocks
• Non-Abelian Binding Energies from the Lightcone Bootstrap
• Holographic dual of the five-point conformal block
• On the four-point function of the stress-energy tensors in a CFT
• Inverse Bootstrapping Conformal Field Theories
• Scale invariance vs conformal invariance
• The unitary subsector of generalized minimal models
• New method for the conformal bootstrap with OPE truncations
• Conformal Bootstrap Signatures of the Tricritical Ising Universality Class
• Perturbative Critical Behavior from Spacetime Dependent Couplings
• The Epsilon-Expansion from Conformal Field Theory
• Bootstrap and Amplitudes: A Hike in the Landscape of Quantum Field Theory
• Conformal Two-Point Correlation Functions from the Operator Product Expansion
• Unitarity violation in non-integer dimensional Gross-Neveu-Yukawa model