Introduces SU(m,m|2n)-covariant weight-shifting operators in the super-Grassmannian formalism to derive all superconformal blocks from half-BPS ones.
Unmixing Supergravity
2 Pith papers cite this work. Polarity classification is still indexing.
abstract
We examine the double-trace spectrum of $\mathcal{N} = 4$ super Yang-Mills theory in the supergravity limit. At large $N$ double-trace operators exhibit degeneracy. By considering free-field and tree-level supergravity contributions to four-point functions of half-BPS operators we resolve the degeneracy for a large family of double-trace operators. The mixing problem reveals a surprisingly simple structure which allows us to obtain their three-point functions at leading order in the large $N$ expansion as well as their leading anomalous dimensions.
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A procedure dresses supergravitons with singletons to extend the BPS gravity-sector spectrum in AdS3/CFT2, yielding affine multiplets that match the D1-D5 CFT better after deformation up to higher levels.
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Superconformal Weight Shifting Operators
Introduces SU(m,m|2n)-covariant weight-shifting operators in the super-Grassmannian formalism to derive all superconformal blocks from half-BPS ones.
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Towering Gravitons in AdS$_3$/CFT$_2$
A procedure dresses supergravitons with singletons to extend the BPS gravity-sector spectrum in AdS3/CFT2, yielding affine multiplets that match the D1-D5 CFT better after deformation up to higher levels.