Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-11-24
JHEP 1004:044,2010
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, 7 figures, JHEP3 style; v2: references added, some typos corrected; Clarification on the condition used to remove on
Scientific paper
10.1007/JHEP04(2010)044
We constructe the $\mathcal{N}=1$ SYM lagrangian in light-cone gauge using chiral superfields instead of the standard vector superfield approach and derive the MHV lagrangian. The canonical transformations of the gauge field and gaugino fields are summarised by the transformation condition of chiral superfields. We show that $\mathcal{N}=1$ MHV super-vertices can be described by a formula similar to that of the $\mathcal{N}=4$ MHV super-amplitude. In the discussions we briefly remark on how to derive Nair's formula for $\mathcal{N}=4$ SYM theory directly from light-cone lagrangian.
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