Holomorphic Superspace

Laurent Baulieu (1, 2) , Alexis Martin (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies
2 CERN - European Organization for Nuclear Research

We give a twisted holomorphic superspace description for the super-Yang--Mills theory, using holomophic and antiholomorphic decompositions of twisted spinors. We consider the case of the $\N=1$ super-Yang--Mills theory in four dimensions. We solve the constraints in two different manners, without and with a prepotential. This might have further application for an holomorphic superspace description of $\N=1,d=10$ theory. We also explain how the $\N=1$ and $\N=2$ holomorphic superspaces are related.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Laurent Baulieu, Alexis Martin. Holomorphic Superspace. 2008. ⟨hal-00297238v1⟩