The gauged superconformal quiver index localizes onto collinear multi-centered saddles, but its claimed reproduction of the Manschot-Pioline-Sen index remains a conjecture, not a derivation.
Conformal and Superconformal Mechanics
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abstract
We investigate the conformal and superconformal properties of a non-relativistic spinning particle propagating in a curved background coupled to a magnetic field and with a scalar potential. We derive the conditions on the couplings for a large class of such systems which are necessary in order their actions admit conformal and superconformal symmetry. We find that some of these conditions can be encoded in the conformal and holomorphic geometry of the background. Several new examples of conformal and superconformal models are also given.
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Multi-Centered Black Hole Index from a Superconformal Quiver Index
The gauged superconformal quiver index localizes onto collinear multi-centered saddles, but its claimed reproduction of the Manschot-Pioline-Sen index remains a conjecture, not a derivation.