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

References in corpus (12)

• String Theory and Noncommutative Geometry
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Non-commutative superspace from string theory
• Noncommutative Superspace, N=1/2 Supersymmetry, Field Theory and String Theory
• Non(anti)commutative Superspace
• Covariant Quantization of the Green-Schwarz Superstring in a Calabi-Yau Background
• Superstrings in Graviphoton Background and N=1/2+3/2 Supersymmetry
• Vertex Operators for Closed Superstrings
• N=1/2 gauge theory and its instanton moduli space from open strings in R-R background
• N=1/2 quiver gauge theories from open strings with R-R fluxes
• Spectral Degeneracy in Supersymmetric Gluodynamics and One-Flavor QCD related to N=1/2 SUSY
• Non(anti)commutative superspace with coordinate-dependent deformation

Cited by in corpus (3)

• Astrophysics in 2006
• Quantum Mechanics in Non(Anti)Commutative Superspace
• C-deformation of Supergravity