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String field theory vertex from integrability

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arxiv 1501.04533 v2 pith:OPQS24XT submitted 2015-01-19 hep-th

String field theory vertex from integrability

classification hep-th
keywords theorystringvertexfieldcoefficientscouplingexampleframework
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $AdS_5 \times S^5$ superstring theory cubic string vertex and the chief application will be to use this framework as a formulation for ${ \cal N}=4$ 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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    Conjecture that the three-point structure constant of one single-trace and two determinant operators in N=4 SYM is given by glued hexagon form factors, reducing to partition sums with reflections at weak coupling and ...