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Topological hypermultiplet on N=2 twisted superspace in four dimensions

Junji Kato·Akiko Miyake
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Abstract

We propose a N=2 twisted superspace formalism with a central charge in four dimensions by introducing a Dirac-Kähler twist. Using this formalism, we construct a twisted hypermultiplet action and find an explicit form of fermionic scalar, vector and tensor transformations. We construct a off-shell Donaldson-Witten theory coupled to the twisted hypermultiplet. We show that this action possesses N=4 twisted supersymmetry at on-shell level. It turns out that four-dimensional Dirac-Kähler twist is equivalent to the Marcus's twist.

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Junji Kato, Akiko Miyake. 2006-04-21. Topological hypermultiplet on N=2 twisted superspace in four dimensions. https://doi.org/10.1142/s021773230602161x

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