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Published April 2007 | Submitted + Published
Journal Article Open

Equivalence of twistor prescriptions for super Yang-Mills

Abstract

There is evidence that one can compute tree-level super Yang-Mills amplitudes using either connected or completely disconnected curves in twistor space. We give a partial explanation of the equivalence between the two computations, by showing that they could both be reduced to the same integral over a moduli space of singular curves, subject to some assumptions about the choices of integration contours. We also formulate a class of new "intermediate" prescriptions to calculate the same amplitudes.

Additional Information

© 2007 International Press. First available in Project Euclid: 24 July 2007. We are grateful to Michal Fabinger, Peter Svrˇcek, Cumrun Vafa, Anastasia Volovich, and Edward Witten for very useful discussions. This work was conducted during the period S.G. served as a Clay Mathematics Institute Long-Term Prize Fellow. S.G. is also supported in part by RFBR grant 01-02-17488. The work of L.M. was supported in part by Harvard DOE grant DE-FG01-91ER40654 and the Harvard Society of Fellows. The work of A.N. was supported by NSF grants PHY-0255841 and DMS-0244464.

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Published - Gukov,A.et.al.pdf

Submitted - 0404085.pdf

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Created:
August 19, 2023
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October 18, 2023