6533b82dfe1ef96bd1290908
RESEARCH PRODUCT
Wilson Loop Form Factors: A New Duality
Emery SokatchevEmery SokatchevGregory P. KorchemskyDmitry ChicherinPaul Heslopsubject
High Energy Physics - TheoryNuclear and High Energy PhysicsWilson loopgauge fixingHigh Energy Physics::LatticeFOS: Physical sciencesDuality (optimization)Type (model theory)Superspace01 natural sciencesSuperspacesspace: EuclideanGeneral Relativity and Quantum CosmologyWilson loopQuantum mechanics0103 physical sciencesMinkowski spacelcsh:Nuclear and particle physics. Atomic energy. RadioactivityMinkowskiScattering Amplitudes010306 general physicssuperspaceMathematical physicsGauge fixingPhysicsform factor010308 nuclear & particles physicsEuclidean space[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]hep-thAnalytic continuationWilsonLoop (topology)chiralCERN LHC CollHigh Energy Physics - Theory (hep-th)’t Hooft and Polyakov loopslcsh:QC770-798dualitysupersymmetryParticle Physics - TheoryDuality in Gauge Field TheoriesLorentzdescription
We find a new duality for form factors of lightlike Wilson loops in planar $\mathcal N=4$ super-Yang-Mills theory. The duality maps a form factor involving an $n$-sided lightlike polygonal super-Wilson loop together with $m$ external on-shell states, to the same type of object but with the edges of the Wilson loop and the external states swapping roles. This relation can essentially be seen graphically in Lorentz harmonic chiral (LHC) superspace where it is equivalent to planar graph duality. However there are some crucial subtleties with the cancellation of spurious poles due to the gauge fixing. They are resolved by finding the correct formulation of the Wilson loop and by careful analytic continuation from Minkowski to Euclidean space. We illustrate all of these subtleties explicitly in the simplest non-trivial NMHV-like case.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-06-19 |