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The N=4 Superconformal Bootstrap · Around

2013

The N=4 Superconformal Bootstrap

Beem, Christopher, Rastelli, Leonardo, van Rees, Balt C.

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We implement the conformal bootstrap for N=4 superconformal field theories in four dimensions.

Consistency of the four-point function of the stress-energy tensor multiplet imposes significant upper bounds for the scaling dimensions of unprotected local operators as functions of the central charge of the theory.
At the threshold of exclusion, a particular operator spectrum appears to be singled out by the bootstrap constraints.
For large values of the central charge, this extremal spectrum is compatible with that of supergravity in AdS_5 x S^5.

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A more complete account of our methods, along with additional results, will appear in [ 30 ]

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The constraints of crossing symmetry on the spectrum of protected operators in 𝒩 = 4 {\cal N}=4 and 𝒩 = 2 {\cal N}=2 SCFTs is a beautiful subject that will be elaborated upon in [ 31 ]

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Each such multiplet contains a unique quasiprimary operator in the 𝟏𝟎𝟓 {\bf 105} representation, with scaling dimension Δ + 4 \Delta+4

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