A coordinate-dependent superspace deformation from string theory

Abstract

Starting from a type II superstring model defined on R2,2 × CY6 in a linear graviphoton background, we derive a coordinate dependent C-deformed N = 1, d ≤ 2+2 superspace. The chiral fermionic coordinates θ satisfy a Clifford algebra, while the other coordinate algebra remains unchanged. We find a linear relation between the graviphoton field strength and the deformation parameter. The null coordinate dependence of the graviphoton background allows to extend the results to all orders in α′.