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 -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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DOI: 10.5802/cml.41
Mots-clés : representations of quivers, moduli spaces, quiver quantum mechanics, bound states
Jan Manschot 1; Boris Pioline 2, 3; Ashoke Sen 4
CC-BY-NC-ND 4.0
@article{CML_2017__9_2_49_0,
author = {Jan Manschot and Boris Pioline and Ashoke Sen},
title = {The {Coulomb} {Branch} {Formula} for {Quiver} {Moduli} {Spaces}},
journal = {Confluentes Mathematici},
pages = {49--69},
publisher = {Institut Camille Jordan},
volume = {9},
number = {2},
year = {2017},
doi = {10.5802/cml.41},
zbl = {1392.16015},
mrnumber = {3745161},
language = {en},
url = {https://cml.centre-mersenne.org/articles/10.5802/cml.41/}
}
TY - JOUR AU - Jan Manschot AU - Boris Pioline AU - Ashoke Sen TI - The Coulomb Branch Formula for Quiver Moduli Spaces JO - Confluentes Mathematici PY - 2017 SP - 49 EP - 69 VL - 9 IS - 2 PB - Institut Camille Jordan UR - https://cml.centre-mersenne.org/articles/10.5802/cml.41/ DO - 10.5802/cml.41 LA - en ID - CML_2017__9_2_49_0 ER -
%0 Journal Article %A Jan Manschot %A Boris Pioline %A Ashoke Sen %T The Coulomb Branch Formula for Quiver Moduli Spaces %J Confluentes Mathematici %D 2017 %P 49-69 %V 9 %N 2 %I Institut Camille Jordan %U https://cml.centre-mersenne.org/articles/10.5802/cml.41/ %R 10.5802/cml.41 %G en %F CML_2017__9_2_49_0
Jan Manschot; Boris Pioline; Ashoke Sen. The Coulomb Branch Formula for Quiver Moduli Spaces. Confluentes Mathematici, Volume 9 (2017) no. 2, pp. 49-69. doi : 10.5802/cml.41. https://cml.centre-mersenne.org/articles/10.5802/cml.41/
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