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Lectures on nonlinear sigma-models in projective superspace · Around

2010

Lectures on nonlinear sigma-models in projective superspace

Kuzenko, Sergei M.

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Understand

N = 2 supersymmetry in four space-time dimensions is intimately related to hyperkahler and quaternionic Kahler geometries.

On one hand, the target spaces for rigid supersymmetric sigma-models are necessarily hyperkahler manifolds.
On the other hand, when coupled to N = 2 supergravity, the sigma-model target spaces must be quaternionic Kahler.
It is known that such manifolds of restricted holonomy are difficult to generate explicitly.

Built on

Yu. A. Golfand and E. P. Likhtman, “Extension of the algebra of Poincaré group generators and violation of P invariance,” JETP Lett
1971
Earlier work this paper cites.
D. V. Volkov and V. P. Akulov, “Possible universal neutrino interaction,” JETP Lett
1973
Earlier work this paper cites.

Similar

J. Wess and B. Zumino, “Supergauge transformations in four dimensions,” Nucl. Phys. B
1974
Cited alongside, same era.

Then

D. Z. Freedman, P. van Nieuwenhuizen and S. Ferrara, “Progress toward a theory of supergravity,” Phys. Rev. D
Original
1976
Later among the works it cites.

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