Communications in Mathematical Physics

, Volume 252, Issue 1–3, pp 189–258

Perturbative Gauge Theory as a String Theory in Twistor Space

  • Edward Witten

DOI: 10.1007/s00220-004-1187-3

Cite this article as:
Witten, E. Commun. Math. Phys. (2004) 252: 189. doi:10.1007/s00220-004-1187-3


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 Open image in new window = 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 Open image in new window

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Edward Witten
    • 1
  1. 1.Institute for Advanced StudyPrincetonUSA

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