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An Algebraic Approach to the Analytic Bootstrap · Around

2015

An Algebraic Approach to the Analytic Bootstrap

Alday, Luis F., Zhiboedov, Alexander

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We develop an algebraic approach to the analytic bootstrap in CFTs.

By acting with the Casimir operator on the crossing equation we map the problem of doing large spin sums to any desired order to the problem of solving a set of recursion relations.
We compute corrections to the anomalous dimension of large spin operators due to the exchange of a primary and its descendants in the crossed channel and show that this leads to a Borel-summable expansion.
We analyse higher order corrections to the microscopic CFT data in the direct channel and its matching to infinite towers of operators in the crossed channel.

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