Abstract
We consider supersymmetric quantum mechanics on a Kähler cone, regulated via a suitable resolution of the conical singularity. The unresolved space has a u(1, 1|2) superconformal symmetry and we propose the existence of an associated quantum mechanical theory with a discrete spectrum consisting of unitary, lowest weight representations of this algebra. We define a corresponding superconformal index and compute it for a wide range of examples.
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Dorey, N., Zhang, D. Superconformal quantum mechanics on Kähler cones. J. High Energ. Phys. 2020, 115 (2020). https://doi.org/10.1007/JHEP05(2020)115
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DOI: https://doi.org/10.1007/JHEP05(2020)115