A coordinate-dependent superspace deformation from string theory

TL;DR

This paper derives a coordinate-dependent superspace deformation from string theory, showing how a graviphoton background induces a Clifford algebra structure in fermionic coordinates, with implications for all orders in string tension.

Contribution

It introduces a novel coordinate-dependent C-deformation of superspace derived from a specific string theory background, extending previous constant deformation models.

Findings

Coordinate-dependent superspace deformation derived from string theory.

Clifford algebra structure in fermionic coordinates due to graviphoton.

Extension of results to all orders in ' due to null coordinate dependence.

Abstract

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 $\alpha'$.