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arXiv · 1404.7154

The Coulomb Branch Formula for Quiver Moduli Spaces

Jan Manschot·Boris Pioline·Ashoke Sen
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Abstract

In recent series of works, by translating properties of multi-centered supersymmetric black holes into the language of quiver representations, we proposed a formula that expresses the Hodge numbers of the moduli space of semi-stable representations of quivers with generic superpotential in terms of a set of invariants associated to `single-centered' or `pure-Higgs' states. The distinguishing feature of these invariants is that they are independent of the choice of stability condition. Furthermore they are uniquely determined by the $χ_y$-genus of the moduli space. Here, we provide a self-contained summary of the Coulomb branch formula, spelling out mathematical details but leaving out proofs and physical motivations.

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Jan Manschot, Boris Pioline, Ashoke Sen. 2017-12-08. The Coulomb Branch Formula for Quiver Moduli Spaces. https://doi.org/10.5802/cml.41

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