A coordinate-dependent superspace deformation from string theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, reference added, accepted for publication in JHEP

Scientific paper

10.1088/1126-6708/2006/03/038

Starting from a type II superstring model defined on $R^{2,2}\times CY_6$ in a linear graviphoton background, we derive a coordinate dependent $C$-deformed ${\cal N}=1$, $d=2+2$ 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 $\alpha'$.

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