TY - JOUR
T1 - Descent Equation for superloop and cyclicity of OPE
AU - Belitsky, Andrei
N1 - Funding Information:
We would like to thank Jacob Bourjaily for very instructive correspondence and the organizers of the “Flux-tube Workshop” for hospitality at Perimeter Institute at the final stages of this work. This research was supported by the U.S. National Science Foundation under the grants PHY-1068286 and PHY-1403891 .
Publisher Copyright:
© 2016 The Author(s)
PY - 2016/12/1
Y1 - 2016/12/1
N2 - We study the so-called Descent, or Q¯, Equation for the null polygonal supersymmetric Wilson loop in the framework of the pentagon operator product expansion. To properly address this problem, one requires to restore the cyclicity of the loop broken by the choice of OPE channels. In the course of the study, we unravel a phenomenon of twist enhancement when passing to a cyclically shifted channel. Currently, we focus on the consistency of the all-order Descent Equation for the particular case relating the NMHV heptagon to MHV hexagon. We find that the equation establishes a relation between contributions of different twists and successfully verify it in perturbation theory making use of available bootstrap predictions for elementary pentagons.
AB - We study the so-called Descent, or Q¯, Equation for the null polygonal supersymmetric Wilson loop in the framework of the pentagon operator product expansion. To properly address this problem, one requires to restore the cyclicity of the loop broken by the choice of OPE channels. In the course of the study, we unravel a phenomenon of twist enhancement when passing to a cyclically shifted channel. Currently, we focus on the consistency of the all-order Descent Equation for the particular case relating the NMHV heptagon to MHV hexagon. We find that the equation establishes a relation between contributions of different twists and successfully verify it in perturbation theory making use of available bootstrap predictions for elementary pentagons.
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U2 - 10.1016/j.nuclphysb.2016.10.011
DO - 10.1016/j.nuclphysb.2016.10.011
M3 - Article
AN - SCOPUS:84994607245
VL - 913
SP - 815
EP - 833
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
ER -