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Rebooting quarter-BPS operators in $\mathcal{N}=4$ Super Yang-Mills
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abstract
We start a systematic study of quarter-BPS operators in four-dimensional $\mathcal{N}=4$ Super Yang-Mills with gauge group $\mathrm{SU}(N)$ making use of recently developed tools in conformal field theory. We adapt the technology of embedding space tensor structures in four dimensions to the problem of computing R-symmetry tensor structures and we use the underlying chiral algebra to obtain the superconformal Ward identities. This allows us to fix the protected part of the four-point correlators, up to few ambiguities. As applications, we use the Lorentzian inversion formula to study the leading order OPE data in the large~$N$ supergravity limit and we make contact with the OPE limit of the five-point function of half-BPS operators.
Forward citations
Cited by 2 Pith papers
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Holography of quarter-BPS AdS bubbles
The CFT state dual to quarter-BPS AdS bubbles is determined to quadratic order, explicitly containing the lightest quarter-BPS operator O1/4 with its subleading 1/N mixing.
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Dissecting supergraviton six-point function with lightcone limits and chiral algebra
A bootstrap combining lightcone OPEs with chiral algebra and a topological twist determines the six-point supergraviton Mellin amplitude in AdS5 x S5 up to an overall constant, passing a flat-space KLT check.
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