Geometry of N=1 Super Yang-Mills Theory in Curved Superspace

Details Geometry of N=1 Super Yang-Mills Theory in Curved Superspace Geometry of N=1 Super Yang-Mills Theory in Curved Superspace

1996-09-10

arxiv.org/abs/hep-th/9609081v2

J.Geom.Phys. 23 (1997) 97-110

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, Latex

Scientific paper

10.1016/S0393-0440(96)00050-2

We give a new description of N=1 super Yang-Mills theory in curved superspace. It is based on the induced geometry approach to a curved superspace in which it is viewed as a surface embedded into C(4|2). The complex structure on C(4|2) supplied with a standard volume element induces a special Cauchy-Riemann (SCR)-structure on the embedded surface. We give an explicit construction of SYM theory in terms of intrinsic geometry of the superspace defined by this SCR-structure and a CR-bundle over the superspace. We write a manifestly SCR-covariant Lagrangian for SYM coupled with matter. We also show that in a special gauge our formulation coincides with the standard one which uses Lorentz connections. Some useful auxiliary results about the integration over surfaces in superspace are obtained.

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