On the spectrum and structure constants of short operators in N=4 SYM at strong coupling

We study short operators in planar N = 4 SYM at strong coupling, for general spin and SO(6) symmetric traceless representations. At strong coupling their dimension grows like ∆~2δλ1/4 and their spectrum of degeneracies can be analysed by considering the massive spectrum of type II strings in flat sp...

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Hlavní autoři: Alday, LF, Hansen, T, Silva, JA
Médium: Journal article
Jazyk:English
Vydáno: Springer 2023
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Shrnutí:We study short operators in planar N = 4 SYM at strong coupling, for general spin and SO(6) symmetric traceless representations. At strong coupling their dimension grows like ∆~2δλ1/4 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 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 ≫ 1, as long as n ≪ λ 1/4.