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20 April 2024
 
  » arxiv » hep-th/0302078

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Non-commutative superspace from string theory
J. de Boer ; P. A. Grassi ; P. van Nieuwenhuizen ;
Date 11 Feb 2003
Journal Phys.Lett. B574 (2003) 98-104
Subject hep-th
AffiliationAmsterdam Univ.), P. A. Grassi (YITP, Stony Brook) and P. van Nieuwenhuizen (YITP, Stony Brook
AbstractTurning 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 ${ heta, heta}$ anti-commutator, just as in four dimensions, whereas the gravitino yields a non-zero value for $[x, heta]$.
Source arXiv, hep-th/0302078
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