The geometry of Sigma-models with twisted supersymmetry

Abou-Zeid, Mohab; Hull, Christopher M.

doi:10.1016/S0550-3213(99)00528-3

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The geometry of Sigma-models with twisted supersymmetry

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Abou-Zeid, Mohab
MPI for Gravitational Physics, Max Planck Society;

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Nuclear-Physics-B_561_1-2.pdf
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9907046v1.pdf
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Citation

Abou-Zeid, M., & Hull, C. M. (1999). The geometry of Sigma-models with twisted supersymmetry. Nuclear Physics B, 561, 293-315. doi:10.1016/S0550-3213(99)00528-3.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-586C-B

Abstract

We investigate the relation between supersymmetry and geometry for two dimensional sigma models with target spaces of arbitrary signature, and Lorentzian or Euclidean world-sheets. In particular, we consider twisted forms of the two-dimensional $(p,q)$ supersymmetry algebra. Superspace formulations of the $(p,q)$ heterotic sigma-models with twisted or untwisted supersymmetry are given. For the twisted (2,1) and the pseudo-K\"{a}hler sigma models, we give extended superspace formulations.