• Corpus ID: 119737677

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}
}
  • Tom Mainiero
  • Published 8 June 2016
  • Mathematics
  • arXiv: High Energy Physics - Theory
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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