On the spectrum and structure constants of short operators in \(\mathcal{N} = 4\) SYM at strong coupling. (English) Zbl 07749089
Summary: We study short operators in planar \(\mathcal{N} = 4\) SYM at strong coupling, for general spin and SO(6) symmetric traceless representations. At strong coupling their dimension grows like \(\Delta \sim 2\sqrt{\delta}{\lambda}^{1/4}\) and their spectrum of degeneracies can be analysed by considering the massive spectrum of type II strings in flat space-time. We furthermore compute their structure constants with two arbitrary chiral primary operators. This is done by considering the four-point correlator of arbitrary chiral primary operators at strong coupling in planar \(\mathcal{N} = 4\) SYM, including the supergravity approximation plus the infinite tower of stringy corrections that contributes in the flat space limit. Our results are valid for generic rank \(n\) symmetric traceless representations of SO(6) and in particular for \(n \gg 1\), as long as \(n \ll \lambda^{1/4}\).
MSC:
| 81-XX | Quantum theory |
Software:
SageMathReferences:
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