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Perturbative Gauge Theory as a String Theory in Twistor Space
Open accessAbstract
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 = 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
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Cites
The large $N$ limit of superconformal field theories and supergravity
Maldacena, J. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a1 · Cited by 14,524
Quantum Theory of Gravity. III. Applications of the Covariant Theory
DeWitt, B. S. (1967) · Physical Review · doi:10.1103/physrev.162.1239 · Cited by 980
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What is the simplest quantum field theory?
Arkani-Hamed, N., Cachazo, F., & Kaplan, J. (2010) · Journal of High Energy Physics · doi:10.1007/jhep09(2010)016 · Cited by 521
Bern, Z., Dixon, L. J., Kosower, D. A., Roiban, R., Spradlin, M., Vergu, C., & Volovich, A. (2008) · Physical Review D · doi:10.1103/physrevd.78.045007 · Cited by 342
Maldacena, J., Simmons-Duffin, D., & Zhiboedov, A. (2017) · Journal of High Energy Physics · doi:10.1007/jhep01(2017)013 · Cited by 285
Metadata
- Authors
- Witten, E.
- Venue
- Communications in Mathematical Physics
- Published
- 2004-10-07
- Volume
- 252
- Issue
- 1-3
- Pages
- 189-258
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2165400029
- Cited by
- 1,126
- References
- 2
- FWCI
- 42.25
- Type
- journal article
- Language
- en
- Open access
- green
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