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 matching explicit tree-level computations.
Extremal vs. Non-Extremal Correlators with Giant Gravitons
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abstract
We consider extremal and non-extremal three-point functions of two giant gravitons and one point-like graviton using Schur polynomials in N=4 super Yang-Mills theory and holographically, using a semiclassical Born-Infeld analysis as well as bubbling geometries. For non-extremal three-point functions our computations using all three approaches are in perfect agreement. For extremal correlators we find that our results from the bubbling geometry analysis agree with existing results from the gauge theory. The semiclassical Born-Infeld computation for the extremal case is known to give a different answer, which we interpret as a manifestation of the known subtlety of holography for extremal correlators.
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Proposes complex matrix models for BPS correlators in N=4 SYM, relating eigenvalue distributions to LLM droplet shapes and enabling computations of one-point functions and three-point correlators via reductions to known models.
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Structure Constants of a Single Trace Operator and Determinant Operators from Hexagon
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 matching explicit tree-level computations.
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(Un)solvable Matrix Models for BPS Correlators
Proposes complex matrix models for BPS correlators in N=4 SYM, relating eigenvalue distributions to LLM droplet shapes and enabling computations of one-point functions and three-point correlators via reductions to known models.