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The N=4 Superconformal Bootstrap

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arxiv 1304.1803 v2 pith:STKZQA3X submitted 2013-04-05 hep-th

classification hep-th
keywords bootstrapcentralchargespectrumdimensionsextremalsuperconformalappears
verification ladder T0 review T1 audit T2 compute T3 formal
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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. For finite central charge, we conjecture that the extremal spectrum is that of N=4 SYM at an S-duality invariant value of the complexified gauge coupling.

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Cited by 3 Pith papers

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  1. Vacuum configuration of winding superstrings from non-standard semiclassical quantization

    hep-th 2025-01 conditional novelty 6.0 of 10

    A non-standard off-shell quantization of the worldsheet metric yields a self-consistent vacuum configuration and Hagedorn temperatures for confining holographic theories, reproducing known next-to-leading order and pr...

  2. Chiral algebra correlators of the $6$d, $\mathcal{N}=(2,0)$ theory with a defect

    hep-th 2025-06 conditional novelty 4.0 of 10

    A chiral-algebra bootstrap reproduces the defect two-point correlators of the 6d (2,0) theory using only bulk-channel data and predicts new defect-channel OPE coefficients.

  3. Bootstrapping 3D Conformal Field Theories with Product Analytic Functionals

    hep-th 2026-08

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