# Algebraicity and Asymptotics: An explosion of BPS indices from algebraic generating series

@article{Mainiero2016AlgebraicityAA, title={Algebraicity and Asymptotics: An explosion of BPS indices from algebraic generating series}, author={Tom Mainiero}, journal={arXiv: High Energy Physics - Theory}, year={2016} }

It is an observation of Kontsevich and Soibelman that generating series that produce certain (generalized) Donaldson Thomas invariants are secretly algebraic over Q(x). From a physical perspective this observation arises naturally for DT invariants that appear as BPS indices in theories of class S(A): explicit algebraic equations (that completely determine these series) can be derived using (degenerate) spectral networks. In this paper, we conjecture an algebraic equation associated to DT…

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