Noncommutative superspace from string theory

Feb, 2003
11 pages
Published in:
  • Phys.Lett.B 574 (2003) 98-104
e-Print:
Report number:
  • YITP-SB-02-74,
  • ITFA-2003-09

Citations per year

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Abstract:
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 {θ,θ}\{\theta,\theta\} anti-commutator, just as in four dimensions, whereas the gravitino yields a non-zero value for [x,θ][x,\theta].
Note:
  • LaTex, 12 pages
  • string model
  • supersymmetry: superspace
  • differential geometry: noncommutative
  • field theory: action
  • two-point function
  • background field