CoulombHiggs swMATH ID: 16336 Software Authors: Manschot, Jan; Pioline, Boris; Sen, Ashoke Description: The Mathematica package CoulombHiggs.m allows to compute the Poincar-Laurent 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 Harder-Narasimhan 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 ’single-centered’ 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 multi-centered BPS black holes (the Coulomb index) was outlined. The second version 2.0, released along with the preprint [6], allowed to compute the Dolbeault-Laurent polynomial, relax assumptions on single-centered 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 multi-centered black holes and quiver invariants. Zbl 1342.83401Manschot, Jan; Pioline, Boris; Sen, Ashoke 2013 all top 5 Cited by 38 Authors 6 Pioline, Boris 4 Manschot, Jan 4 Sen, Ashoke Kumar 4 Yi, Piljin 3 Kim, Heeyeon 3 Mondal, Swapnamay 2 Anninos, Dionysios 2 Anous, Tarek 2 Beaujard, Guillaume 2 Cirafici, Michele 2 Del Zotto, Michele 2 Galakhov, Dmitry 2 Lee, Seungjoo 1 Alexandrov, Sergei Yu. 1 Argüz, Hülya 1 Bousseau, Pierrick 1 Canakci, Ilke 1 Chattopadhyaya, Aradhita 1 Chowdhury, Abhishek 1 Córdova, Clay 1 de Lange, Paul 1 Denef, Frederik 1 Descombes, Pierre 1 Duan, Zhihao 1 Gaddam, Nava 1 Garavuso, Richard S. 1 Ghim, Dongwook 1 Hori, Kentaro 1 Konstantinidis, George 1 Lampe, Philipp 1 Neitzke, Andrew 1 Ohta, Kazutoshi 1 Panfil, Miłosz 1 Peeters, Lucas 1 Sasai, Yuya 1 Sułkowski, Piotr 1 Yamazaki, Masahito 1 Young, Matthew B. all top 5 Cited in 8 Serials 16 Journal of High Energy Physics 4 Communications in Mathematical Physics 2 Annales Henri Poincaré 1 Nuclear Physics. B 1 Compositio Mathematica 1 Journal of Combinatorial Theory. Series A 1 Communications in Number Theory and Physics 1 Confluentes Mathematici all top 5 Cited in 12 Fields 23 Quantum theory (81-XX) 11 Relativity and gravitational theory (83-XX) 10 Associative rings and algebras (16-XX) 8 Algebraic geometry (14-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year