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2013

Resummation and S-duality in N=4 SYM

Beem, Christopher, Rastelli, Leonardo, Sen, Ashoke et al.

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We consider the problem of resumming the perturbative expansions for anomalous dimensions of low twist, non-BPS operators in four dimensional N=4 supersymmetric Yang-Mills theories.

The requirement of S-duality invariance imposes considerable restrictions on any such resummation.
We introduce several prescriptions that produce interpolating functions on the upper half plane that are compatible with a subgroup of the full duality group.
These lead to predictions for the anomalous dimensions at all points in the fundamental domain of the complex gauge coupling, and in particular at the duality-invariant values \tau=i and \tau=exp(i\pi/3).

Resummation and S-duality in N=4 SYM · Around

Built on

H. Kleinert and V. Schulte-Frohlinde, “Critical properties of ϕ 4 \phi^{4} -theories,” River Edge, USA: World Scientific (2001) 489 p
2001
Earlier work this paper cites.
M. Bianchi, S. Kovacs, G. Rossi and Y. S. Stanev, “Properties of the Konishi multiplet in N=4 SYM theory,” JHEP 0105
Original
2001
Earlier work this paper cites.
V. N. Velizhanin, “The Non-planar contribution to the four-loop anomalous dimension of twist-2 operators: First moments in N=4 SYM and non-singlet QCD,” Nucl. Phys. B 846
Original
2011
Earlier work this paper cites.

Similar

R. Rattazzi, V. S. Rychkov, E. Tonni and A. Vichi, “Bounding scalar operator dimensions in 4D CFT,” JHEP 0812
Original
2012
Cited alongside, same era.
P. C. Argyres and M. Unsal, “The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects,” JHEP 1208
Original
2012
Cited alongside, same era.
C. Beem, L. Rastelli and B. C. van Rees, “The N=4 Superconformal Bootstrap,” arXiv:1304.1803 [hep-th]
Original
Cited in the paper.
A. Sen, “S-duality Improved Superstring Perturbation Theory,” arXiv:1304.0458 [hep-th]
Original
Cited in the paper.

Then

V. N. Velizhanin, “The four-loop anomalous dimension of the Konishi operator in N=4 supersymmetric Yang-Mills theory,” JETP Lett. 89
Original
2012
Later among the works it cites.
A. V. Kotikov, L. N. Lipatov, A. I. Onishchenko and V. N. Velizhanin, “Three loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model,” Phys. Lett. B 595
Original
2095
Closest in time.

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