Seiberg Duality, 5d SCFTs and Nekrasov Partition Functions
Masato Taki
TL;DR
This paper explores dualities in 5d SCFTs through brane web configurations and verifies these dualities by comparing Nekrasov partition functions, revealing multiple web descriptions of the same theory.
Contribution
It studies the duality of affine E_N backgrounds and 5-brane webs, showing different configurations describe the same 5d SCFT and confirming this via partition function comparisons.
Findings
Multiple 5-brane web configurations correspond to the same 5d SCFT.
Nekrasov partition functions match across dual web configurations.
Duality of affine E_N backgrounds is established.
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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Taxonomy
TopicsBlack Holes and Theoretical Physics · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory