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2013

Algebraic Curve for a Cusped Wilson Line

Sizov, Grigory, Valatka, Saulius

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We consider the classical limit of the recently obtained exact result for the anomalous dimension of a cusped Wilson line with the insertion of an operator with L units of R-charge at the cusp in planar N=4 SYM.

The classical limit requires taking both the 't Hooft coupling and L to infinity.
Since the formula for the cusp anomalous dimension involves determinants of size proportional to L, the classical limit requires a matrix model reformulation of the result.
We construct such matrix model-like representation and find corresponding classical algebraic curve.

Algebraic Curve for a Cusped Wilson Line · Around

Built on

D. Correa, J. Maldacena and A. Sever, “The quark anti-quark potential and the cusp anomalous dimension from a TBA equation,” arXiv:1203.1913 [hep-th]
Original
1913
Earlier work this paper cites.
N. Gromov, F. Levkovich-Maslyuk and G. Sizov, “Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle,” arXiv:1305.1944 [hep-th]
Original
1944
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A. M. Polyakov, “Gauge Fields as Rings of Glue,” Nucl. Phys. B 164
1980
Earlier work this paper cites.
J. M. Maldacena, “The large N limit of superconformalfield theories and supergravity”, Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
J. A. Minahan and K. Zarembo, “The Bethe ansatz for N=4 superYang-Mills,” JHEP 0303
2003
Earlier work this paper cites.

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Then

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N. Drukker, “Integrable Wilson loops,” arXiv:1203.1617 [hep-th]

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M. Beccaria and G. Macorini, “On a discrete symmetry of the Bremsstrahlung function in N=4 SYM,” arXiv:1305.4839 [hep-th]

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