Corpus ID: 218763106

The singular support of the Ising model.

@article{Andrews2020TheSS,
  title={The singular support of the Ising model.},
  author={George E. Andrews and Jethro van Ekeren and Reimundo Heluani},
  journal={arXiv: Quantum Algebra},
  year={2020}
}
  • George E. Andrews, Jethro van Ekeren, Reimundo Heluani
  • Published 2020
  • Mathematics
  • arXiv: Quantum Algebra
  • We propose a new Fermionic quasiparticle sum expression for the character of the Ising model vertex algebra, related to the Jackson-Slater q-series identity of Rogers-Ramanujan type and to Nahm sums for the matrix $(\begin{smallmatrix} 8 & 3 \\ 3 & 2\end{smallmatrix})$. We find, as consequences, an explicit monomial basis for the Ising model, and a description of its singular support. We find that the ideal sheaf of the latter, defining it as a subscheme of the arc space of its associated… CONTINUE READING

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