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 holomorphic 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. Journal of High Energy Physics, 2008, 10, pp.044. ⟨hal-00297238v2⟩