A construction of embedding space three-point functions for arbitrary Lorentz representations via OPE tensor structures and group theory.
Conformal Bootstrap in Embedding Space
2 Pith papers cite this work. Polarity classification is still indexing.
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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.
fields
hep-th 2years
2019 2verdicts
UNVERDICTED 2representative citing papers
A method is presented to derive conformal blocks for arbitrary Lorentz representations using predetermined substitutions on Gegenbauer polynomials after determining relevant group structures.
citing papers explorer
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Conformal Three-Point Correlation Functions from the Operator Product Expansion
A construction of embedding space three-point functions for arbitrary Lorentz representations via OPE tensor structures and group theory.
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Conformal Four-Point Correlation Functions from the Operator Product Expansion
A method is presented to derive conformal blocks for arbitrary Lorentz representations using predetermined substitutions on Gegenbauer polynomials after determining relevant group structures.