General Bootstrap Equations in 4D CFTs
arXiv:1705.05401
Abstract
We provide a framework for generic 4D conformal bootstrap computations. It is based on the unification of two independent approaches, the covariant (embedding) formalism and the non-covariant (conformal frame) formalism. We construct their main ingredients (tensor structures and differential operators) and establish a precise connection between them. We supplement the discussion by additional details like classification of tensor structures of n-point functions, normalization of 2-point functions and seed conformal blocks, Casimir differential operators and treatment of conserved operators and permutation symmetries. Finally, we implement our framework in a Mathematica package and make it freely available.
57 pages
References in corpus (19)
- Conformal Four Point Functions and the Operator Product Expansion
- Conformal Partial Waves and the Operator Product Expansion
- Precision Islands in the Ising and Models
- Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry
- Bootstrapping the O(N) Vector Models
- Spinning Conformal Blocks
- Bootstrapping Conformal Field Theories with the Extremal Functional Method
- Radial Coordinates for Conformal Blocks
- Six-dimensional Methods for Four-dimensional Conformal Field Theories
- More constraining conformal bootstrap
- A Mellin space approach to the conformal bootstrap
- Bounds in 4D Conformal Field Theories with Global Symmetry
- Universal anomalous dimensions at large spin and large twist
- Solving CFTs with Weakly Broken Higher Spin Symmetry
- Projectors and seed conformal blocks for traceless mixed-symmetry tensors
- Radial expansion for spinning conformal blocks
- Dimensional Reduction for Conformal Blocks
- JuliBootS: a hands-on guide to the conformal bootstrap
- On the four-point function of the stress-energy tensors in a CFT