Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 815-833 |
| Number of pages | 19 |
| Journal | Nuclear Physics B |
| Volume | 913 |
| DOIs | |
| State | Published - Dec 1 2016 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
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Descent Equation for superloop and cyclicity of OPE. / Belitsky, Andrei.
In: Nuclear Physics B, Vol. 913, 01.12.2016, p. 815-833.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Descent Equation for superloop and cyclicity of OPE
AU - Belitsky, Andrei
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.
UR - http://www.scopus.com/inward/record.url?scp=84994607245&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84994607245&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2016.10.011
DO - 10.1016/j.nuclphysb.2016.10.011
M3 - Article
VL - 913
SP - 815
EP - 833
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
ER -