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2013

The superconformal bootstrap for structure constants

Alday, Luis F., Bissi, Agnese

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We report on non-perturbative bounds for structure constants on N=4 SYM.

Such bounds are obtained by applying the conformal bootstrap recently extended to superconformal theories.
We compare our results with interpolating functions suitably restricted by the S-duality of the theory.
Within numerical errors, these interpolations support the conjecture that the bounds found in this paper are saturated at duality invariant values of the coupling.

The superconformal bootstrap for structure constants · Around

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B. Eden, A. C. Petkou, C. Schubert and E. Sokatchev, “Partial nonrenormalization of the stress tensor four point function in N=4 SYM and AdS / CFT,” Nucl. Phys. B 607
2001
Earlier work this paper cites.
B. Eden and E. Sokatchev, “On the OPE of 1/2 BPS short operators in N=4 SCFT(4),” Nucl. Phys. B 618
2001
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Superconformal symmetry, correlation functions and the operator product expansion,” Nucl. Phys. B 629
2002
Earlier work this paper cites.

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Then

C. Beem, L. Rastelli and B. C. van Rees, “The N=4 Superconformal Bootstrap,” Phys. Rev. Lett. 111
Original
2013
Closest in time.
D. Poland and D. Simmons-Duffin, JHEP 1105
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2087
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