Non-commutative superspace from string theory
By J. Boer, P. A. Grassi, Patrick Van Nieuwenhuizen. 2003
248 citations recorded by the source corpus.
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 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 ].
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/fcce85236927891483ec90c0f3613fb1c41c3f0d
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Citations in the corpus
- Noncommutative superspace, Script N = 1/2 supersymmetry, field theory and string theory (2003, background): “has been explored by many people (for a partial list, see [3-16]).”
- Superstrings in graviphoton background and N=1/2+3/2 supersymmetry (2003, background): “Only in Euclidean space can we turn on the self-dual part of the two form field strength Fαβ while setting the anti-self-dual part F α̇β̇ to zero.”
- The C-deformation of gluino and non-planar diagrams (2003, result): “Let 5 The result of this subsection has been generalized to other dimensions in a recent work [21].”