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arXiv · 2207.11780

Yano F structures and extended Supersymmetry

Ulf Lindström
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Abstract

It is shown how extended supersymmetry realised directly on the (2,2) semichiral superfields of a symplectic sigma model gives rise to a geometry on the doubled tangent bundle consisting of two Yano F structures on an almost para-hermitian manifold. Closure of the algebra and invariance of the action is discussed in this framework and integrability of the F structures is defined and shown to hold. The reduction to the usual (1, 1) sigma model description and identification with the bi-quaternionic set of complex structures and their properties is elucidated. The F structure formulation should be applicable to many other models and will have an equivalent formulation in Generalised Geometry.

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Ulf Lindström. 2022-07-28. Yano F structures and extended Supersymmetry. https://doi.org/10.1007/jhep10(2022)115

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