The NS limit of the 5D Superconformal Index

Abstract

We consider the Nekrasov-Shatashvili (NS) limit of the five-dimensional superconformal index and propose a novel prescription for selecting the finite contributions. Applying the latter to various examples of U(1) theories, we find that the 5D NS index can be reproduced using recent techniques of Córdova and Shao, who related the 4D Schur index to the BPS spectrum of the theory on the Coulomb branch. In this picture, the 5D instanton solitons are interpreted as additional flavour nodes in an associated 5D BPS quiver.

22 pages; v2: discussion improved and expanded, typos corrected and references added; v3: typos corrected

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Cited by in corpus (2)

• 6D SCFTs and Phases of 5D Theories
• An infrared bootstrap of the Schur index with surface defects