Ten-dimensional super-Yang-Mills with nine off-shell supersymmetries

Laurent Baulieu (1, 2) , Nathan Berkovits (3) , Guillaume Bossard (1, 4) , Alexis Martin (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies
2 CERN - European Organization for Nuclear Research
3 IFT - Instituto de Fisica Teorica
4 ITF - Instituut voor Theoretische Fysica

After adding 7 auxiliary scalars to the d=10 super-Yang-Mills action, 9 of the 16 supersymmetries close off-shell. In this paper, these 9 supersymmetry generators are related by dimensional reduction to scalar and vector topological symmetry in $\N$=2 d=8 twisted super-Yang-Mills. Furthermore, a gauge-invariant superspace action is constructed for d=10 super-Yang-Mills where the superfields depend on 9 anticommuting theta variables.

Mots clés: Supersymmetry; Yang-Mills Superspace

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

Laurent Baulieu, Nathan Berkovits, Guillaume Bossard, Alexis Martin. Ten-dimensional super-Yang-Mills with nine off-shell supersymmetries. Physics Letters B, 2008, 658 (5), pp.249. ⟨hal-00146374v3⟩