CoulombHiggs
swMATH ID:  16336 
Software Authors:  Manschot, Jan; Pioline, Boris; Sen, Ashoke 
Description:  The Mathematica package CoulombHiggs.m allows to compute the PoincarLaurent polynomial of the moduli space of stable representations of quivers using the Coulomb branch and Higgs branch formulae. The latter is based on Reineke’s solution to the HarderNarasimhan recursion [1] and applies to quivers without oriented closed loops, while the former is based on a physical picture of BPS states as bound states of elementary ’singlecentered’ constitutents, and applies to any quivers with or without oriented loops [2{4]. The first version of this package was released together with the preprint [5] where a general algorithm for computing the index of the quantum mechanics of multicentered BPS black holes (the Coulomb index) was outlined. The second version 2.0, released along with the preprint [6], allowed to compute the DolbeaultLaurent polynomial, relax assumptions on singlecentered indices for basis vectors, study the effect of generalized mutations, and more. The third version 2.1, released along with the review [7], has been optimized to speed up the evaluation of Coulomb indices. The package file CoulombHiggs.m and various example files can be obtained from the second named author’s webpage, http://www.lpthe.jussieu.fr/ pioline/computing.html} 
Homepage:  http://www.lpthe.jussieu.fr/~pioline/Computing/CoulombHiggsv2.1.pdf 
Dependencies:  Mathematica 
Related Software:  SageMath; Mathematica 
Cited in:  27 Publications 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

On the Coulomb and Higgs branch formulae for multicentered black holes and quiver invariants. Zbl 1342.83401 Manschot, Jan; Pioline, Boris; Sen, Ashoke 
2013

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Cited by 38 Authors
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Cited in 8 Serials
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