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An ambitwistor Yang-Mills Lagrangian

Abstract:

We introduce a Chern-Simons Lagrangian for Yang-Mills theory as formulated on ambitwistor space via the Ward, Isenberg, Yasskin, Green, Witten construction. The Lagrangian requires the selection of a codimension-2 Cauchy-Riemann submanifold which is naturally picked out by the choice of space-time reality structure and we focus on the choice of Euclidean signature. The action is shown to give rise to a space-time action that is equivalent to the standard one, but has just cubic vertices. We i...

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Publication status:
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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Skinner, D More by this author
Journal:
Phys.Lett.B
Volume:
636
Issue:
1
Pages:
60-67
Publication date:
2005-10-31
DOI:
ISSN:
0370-2693
URN:
uuid:2d249468-b23b-4c51-bd0b-1b63d062b6e0
Source identifiers:
16764
Local pid:
pubs:16764
Keywords:

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