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Conformal and Superconformal Mechanics

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arxiv hep-th/0002007 v1 pith:XQVJ5PDO submitted 2000-02-01 hep-th

G. Papadopoulos This is my paper · ORCID
classification hep-th
keywords conformalsuperconformalbackgroundconditionsactionsadmitclasscoupled
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 1 Pith paper

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  1. Multi-Centered Black Hole Index from a Superconformal Quiver Index

    hep-th 2025-09 reject novelty 5.0 of 10

    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.

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