Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory

By B. Basso, Shota Komatsu, P. Vieira. 2015

180 citations recorded by the source corpus.

We introduce a non-perturbative framework for computing structure constants of single-trace operators in the N=4 SYM theory at large N. Our approach features new vertices, with hexagonal shape, that can be patched together into three- and possibly higher-point correlators. These newborn hexagons are more elementary and easier to deal with than the three-point functions. Moreover, they can be entirely constructed using integrability, by means of a suitable bootstrap program. In this letter, we present our main results and conjectures for these vertices, and match their predictions for the three-point functions with both weak and strong coupling data available in the literature.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/8f4a30c3cc79f54c8b77bc1349223d53f5a73942

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. David Simmons-Duffin
2. V. Rosenhaus
3. J. Maldacena
4. T. Fleury
5. Shota Komatsu
6. A. Zhiboedov
7. D. Stanford
8. D. Harlow

In Condensed Matter Physics

1. V. Rosenhaus
2. J. Maldacena
3. T. Fleury
4. Shota Komatsu
5. A. Zhiboedov
6. David Simmons-Duffin
7. S. Frolov
8. G. Arutyunov

In Geometry and Topology

1. David Simmons-Duffin
2. V. Rosenhaus
3. T. Fleury
4. A. Zhiboedov
5. Shota Komatsu
6. J. Maldacena
7. S. Caron-Huot
8. Eric Perlmutter

Citations in the corpus

• Hexagonalization of correlation functions (2016, methodology): “This appears to be an inconvenient truth for integrability practitioners: Owing to the remarkable progress in the last ten years, we now have powerful nonperturbative methods to study the spectrum [5] (see [6] for the current state of the art), and the structure constants [7] of planar N = 4 SYM.”
• Looking for a bulk point (2015, background): “For recent progress in this direction see [23,24].”
• An introduction to the SYK model (2018, methodology): “More recently, powerful integrability techniques have been applied to planar N = 4 super Yang-Mills in four dimensions [13], yielding, for instance, exact results for anomalous dimensions [14] and progress for the threepoint function [15].”