Twisted Superspace

Laurent Baulieu (1, 2) , Guillaume Bossard (3) , Alexis Martin (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies
2 CERN - European Organization for Nuclear Research
3 AEI - Max-Planck-Institut für Gravitationsphysik ( Albert-Einstein-Institut )

We formulate the ten-dimensional super-Yang-Mills theory in a twisted superspace with 8+1 supercharges. Its constraints do not imply the equations of motion and we solve them. As a preliminary step for a complete formulation in a twisted superspace, we give a superspace path-integral formulation of the N=2, d=4 super-Yang-Mills theory without matter. The action is the sum of a Chern--Simons term depending on a super-connection plus a BF-like term. The integration over the superfield B implements the twisted superspace constraints on the super-gauge field, and the Chern-Simons action reduces to the known action in components.

Mots clés: supersymmetry; Yang-Mills; twisted varables; superspace

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

Laurent Baulieu, Guillaume Bossard, Alexis Martin. Twisted Superspace. 2008. ⟨hal-00255884v2⟩