TY - JOUR
T1 - Non-commutative superspace from string theory
AU - De Boer, J.
AU - Grassi, P. A.
AU - Van Nieuwenhuizen, P.
N1 - Funding Information:
We would like to thank Robbert Dijkgraaf for discussions and for communicating some of the results in [17] , and Lorenzo Cornalba for discussions on boundary conditions. In addition, we would like to thank G. Policastro for working out the vertex for constant backgrounds. The research of J.d.B. is partially supported by the stichting FOM. Research of P.A.G. and P.v.N. is partially supported by NSF Grant PHY-0098527.
PY - 2003/11/6
Y1 - 2003/11/6
N2 - 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 spacetime non-commutativity. In this Letter 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 {θ, θ} anti-commutator, just as in four dimensions, whereas the gravitino yields a non-zero value for [x, θ].
AB - 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 spacetime non-commutativity. In this Letter 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 {θ, θ} anti-commutator, just as in four dimensions, whereas the gravitino yields a non-zero value for [x, θ].
UR - http://www.scopus.com/inward/record.url?scp=0142058285&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2003.08.071
DO - 10.1016/j.physletb.2003.08.071
M3 - Article
SN - 0370-2693
VL - 574
SP - 98
EP - 104
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 1-2
ER -