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Article Dans Une Revue Journal of High Energy Physics Année : 2018

Rigid limit for hypermultiplets and five-dimensional gauge theories

Sergey Alexandrov
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Sibasish Banerjee
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Pietro Longhi
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Résumé

We study the rigid limit of a class of hypermultiplet moduli spaces appearing in Calabi-Yau compactifications of type IIB string theory, which is induced by a local limit of the Calabi-Yau. We show that the resulting hyperkahler manifold is obtained by performing a hyperkahler quotient of the Swann bundle over the moduli space, along the isometries arising in the limit. Physically, this manifold appears as the target space of the non-linear sigma model obtained by compactification of a five-dimensional gauge theory on a torus. This allows to compute dyonic and stringy instantons of the gauge theory from the known results on D-instantons in string theory. Besides, we formulate a simple condition on the existence of a non-trivial local limit in terms of intersection numbers of the Calabi-Yau, and find an explicit form for the hypermultiplet metric including corrections from all mutually non-local D-instantons, which can be of independent interest.
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hal-01627837 , version 1 (07-06-2021)

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Sergey Alexandrov, Sibasish Banerjee, Pietro Longhi. Rigid limit for hypermultiplets and five-dimensional gauge theories. Journal of High Energy Physics, 2018, 1801 (1), pp.156. ⟨10.1007/JHEP01(2018)156⟩. ⟨hal-01627837⟩
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