Perturbative gauge theory as a string theory in twistor space

Edward Witten

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Abstract

Perturbative scattering amplitudes in Yang-Mills theory have many unexpected properties, such as holomorphy of the maximally helicity violating amplitudes. To interpret these results, we Fourier transform the scattering amplitudes from momentum space to twistor space, and argue that the transformed amplitudes are supported on certain holomorphic curves. This in turn is apparently a consequence of an equivalence between the perturbative expansion of N = 4 super Yang-Mills theory and the D-instanton expansion of a certain string theory, namely the topological B model whose target space is the Calabi-Yau supermanifold ℂℙ3|4.

Original languageEnglish (US)
Pages (from-to)189-258
Number of pages70
JournalCommunications In Mathematical Physics
Volume252
Issue number1-3
DOIs
StatePublished - Dec 2004
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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