Author:
Bargheer T.,Caetano J.,Fleury T.,Komatsu S.,Vieira P.
Abstract
Abstract
In a previous work [1], we proposed an integrability setup for computing nonplanar corrections to correlation functions in
$$ \mathcal{N}=4 $$
N
=
4
super-Yang-Mills theory at any value of the coupling constant. The procedure consists of drawing all possible tree-level graphs on a Riemann surface of given genus, completing each graph to a triangulation, inserting a hexagon form factor into each face, and summing over a complete set of states on each edge of the triangulation. The summation over graphs can be interpreted as a quantization of the string moduli space integration. The quantization requires a careful treatment of the moduli space boundaries, which is realized by subtracting degenerate Riemann surfaces; this procedure is called stratification. In this work, we precisely formulate our proposal and perform several perturbative checks. These checks require hitherto unknown multi-particle mirror contributions at one loop, which we also compute.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference68 articles.
1. T. Bargheer, J. Caetano, T. Fleury, S. Komatsu and P. Vieira, Handling Handles I: Nonplanar Integrability, arXiv:1711.05326 [INSPIRE].
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07 (2008) 026 [arXiv:0803.2681] [INSPIRE].
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