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2018

The Functional Bootstrap for Boundary CFT

Kaviraj, Apratim, Paulos, Miguel F.

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We introduce a new approach to the study of the crossing equation for CFTs in the presence of a boundary.

We argue that there is a basis for this equation related to the generalized free field solution.
The dual basis is a set of linear functionals which act on the crossing equation to give a set of sum rules on the boundary CFT data: the functional bootstrap equations.
We show these equations are essentially equivalent to a Polyakov-type approach to the bootstrap of BCFTs, and show how to fix the so-called contact term ambiguity in that context.

The Functional Bootstrap for Boundary CFT · Around

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J. Penedones, · 2007
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R. Rattazzi, V. S. Rychkov, E. Tonni, and A. Vichi,
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2008
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2011
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