Non-commutative superspace from string theory

Details Non-commutative superspace from string theory Non-commutative superspace from string theory

2003-02-11

arxiv.org/abs/hep-th/0302078v1

Phys.Lett. B574 (2003) 98-104

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 12 pages

Scientific paper

Turning on background fields in string theory sometimes has an alternative interpretation as a deformation of the target space geometry. A particularly well-known case is the NS-NS two form B, which gives rise to space-time non-commutativity. In this note we point out that this phenomenon extends to ten-dimensional superspace when employing a covariant quantization of the superstring, generalizing an observation by Ooguri and Vafa in four dimensions. In particular, we will find that RR field strengths give rise to a non-zero $\{\theta,\theta\}$ anti-commutator, just as in four dimensions, whereas the gravitino yields a non-zero value for $[x,\theta]$.

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