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arXiv · 1401.7200

Seiberg Duality, 5d SCFTs and Nekrasov Partition Functions

Masato Taki
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Abstract

It is known that a 4d N = 1 SCFT lives on D3-branes probing a local del Pezzo Calabi-Yau singularity. The Seiberg (or toric) duality of this SCFT arises from the Picard-Lefshetz transformation of the affine E_N 7-brane background that is associated with the Calabi-Yau threefold. In this paper we study the duality of the affine E_N background itself and a 5-brane probing it. We then find that many different Type IIB 5-brane webs describe the same SCFT in 5d. We check this duality by comparing the Nekrasov partition functions of these 5-brane web configurations.

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Masato Taki. 2014-01-28. Seiberg Duality, 5d SCFTs and Nekrasov Partition Functions. https://arxiv.org/abs/1401.7200

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