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Recursion relations for 5-point conformal blocks
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DOI：10.1007/JHEP10(2021)160.png)
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Abstract
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We consider 5-point functions in conformal field theories in d > 2 dimensions. Using weight-shifting operators, we derive recursion relations which allow for the computation of arbitrary conformal blocks appearing in 5-point functions of scalar operators, reducing them to a linear combination of blocks with scalars exchanged. We additionally derive recursion relations for the conformal blocks which appear when one of the external operators in the 5-point function has spin 1 or 2. Our results allow us to formulate positivity constraints using 5-point functions which describe the expectation value of the energy operator in bilocal states created by two scalars.
Keywords:
Conformal and W Symmetry
Conformal Field Theory
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5.5
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4.0W
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13.7W
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