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A Bethe Ansatz type formula for the superconformal index
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Inspired by recent work by Closset, Kim and Willett, we derive a new formula for the superconformal (or supersymmetric) index of 4d N=1 theories. Such a formula is a finite sum, over the solution set of certain transcendental equations that we dub Bethe Ansatz Equations, of a function evaluated at those solutions.
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Superconformal indices and black hole saddles
At large Im tau the superconformal index tends to 1, and the authors show that a Picard-Lefschetz analysis of a Lorentzian-inspired bulk integral enforces this by making all exponentially large black hole saddles irre...
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