String field theory vertex from integrability

Bajnok, Zoltán and Janik, R. A. (2015) String field theory vertex from integrability. JOURNAL OF HIGH ENERGY PHYSICS, 2015 (4). ISSN 1126-6708

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Abstract

We propose a framework for computing the (light cone) string field theory vertex in the case when the string worldsheet QFT is a generic integrable theory. The prime example and ultimate goal would be the AdS5 × S5 superstring theory cubic string vertex and the chief application will be to use this framework as a formulation for N = 4 SYM theory OPE coefficients valid at any coupling up to wrapping corrections. In this paper we propose integrability axioms for the vertex, illustrate them on the example of the pp-wave string field theory and also uncover similar structures in weak coupling computations of OPE coefficients.

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