A coordinate-dependent superspace deformation from string theory

Abstract

Starting from a type II superstring model defined on $R^{2,2}\times C{Y}_6$ in a linear graviphoton background, we derive a coordinate dependent $C$-deformed $\mathcal{N}=1$, $d=2+2$ superspace. The chiral fermionic coordinates $\theta$ 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 ${\alpha }^{\prime }$.

14 pages, reference added, accepted for publication in JHEP

Cited by in corpus (2)

• Astrophysics in 2006
• Quantum Mechanics in Non(Anti)Commutative Superspace