Non-commutative holography and scattering amplitudes in a large magnetic background

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Abstract

We study planar gluon scattering amplitudes and Wilson loops in non-commutative gauge theory. Our main results are: We find the map between observables in non-commutative gauge theory and their holographic dual. In that map, the region near the boundary of the gravitational dual describes the physics in terms of T-dual variables. We show that in the presence of a large magnetic background and a UV regulator, a planar gluon scattering amplitude reduces to a complex polygon Wilson loop expectation value, dressed by a tractable polarization dependent factor.

Original languageEnglish
Article number039
JournalJournal of High Energy Physics
Volume2009
Issue number4
DOIs
StatePublished - 2009
Externally publishedYes

Keywords

  • 1/N expansion
  • AdS-CFT correspondence
  • Gauge-gravity correspondence
  • Non-commutative geometry

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