Level Repulsion in N = 4 super-Yang-Mills via Integrability, Holography, and the Bootstrap

2023/12/19 by Chester, Shai M., Dempsey, Ross, Pufu, Silviu S.
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2312.12576

Abstract

We combine supersymmetric localization with the numerical conformal bootstrap to bound the scaling dimension and OPE coefficient of the lowest-dimension operator in N = 4 SU(N) super-Yang-Mills theory for a wide range of N and Yang-Mills couplings g_YM. We find that our bounds are approximately saturated by weak coupling results at small g_YM. Furthermore, at large N our bounds interpolate between integrability results for the Konishi operator at small g_YM and strong-coupling results, including the first few stringy corrections, for the lowest-dimension double-trace operator at large g_YM. In particular, our scaling dimension bounds describe the level splitting between the single- and double-trace operators at intermediate coupling.

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