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Article
Report number	arXiv:1404.7154 ; CERN-PH-TH-2014-074
Title	The Coulomb Branch Formula for Quiver Moduli Spaces
Related title	The Coulomb Branch Formula for Quiver Moduli Spaces
Author(s)	Manschot, Jan (Lyon U.) ; Pioline, Boris (CERN ; Paris U., IV ; Paris, LPTHE) ; Sen, Ashoke (Harish-Chandra Res. Inst.)
Publication	2017
Imprint	28 Apr 2014
Number of pages	24
Note	Comments: 24 pages 24 pages. v2: final version; minor changes, including a new diagram
In:	Confluentes Mathematici 9 (2017) 49-69
DOI	10.5802/cml.41
Subject category	hep-th ; Particle Physics - Theory
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 $\chi_y$-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.
Copyright/License	Preprint: © 2014-2024 CERN (License: CC-BY-3.0)

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Email contact: boris.pioline@cern.ch