Conformal Bootstrap in Embedding Space

Abstract

It is shown how to obtain conformal blocks from embedding space with the help of the operator product expansion. The minimal conformal block originates from scalar exchange in a four-point correlation functions of four scalars. All remaining conformal blocks are simple derivatives of the minimal conformal block. With the help of the orthogonality properties of the conformal blocks, the analytic conformal bootstrap can be implemented directly in embedding space, leading to a Jacobi-like definition of conformal field theories.

11 pages, added references

References in corpus (1)

• Superintegrability of $d$-dimensional Conformal Blocks

Cited by in corpus (19)

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• Efficient Rules for All Conformal Blocks
• Dimensional reduction of higher-point conformal blocks
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• The four-point correlation function of the energy-momentum tensor in the free conformal field theory of a scalar field
• Further Results on a Function Relevant for Conformal Blocks
• All Global One- and Two-Dimensional Higher-Point Conformal Blocks
• Conformal Differential Operator in Embedding Space and its Applications