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Showing 2018 · math-phShow all
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math-ph2018★ 12 cited
Combinatorial expressions for the tau functions of -Painlevé V and III equations
Yuya Matsuhira, Hajime Nagoya
We derive series representations for the tau functions of the -Painlevé V, , , and equations, as degenerations of the tau functi…
math-ph2018★ 47 cited
Irregular conformal blocks and connection formulae for Painlevé V functions
O. Lisovyy, H. Nagoya, J. Roussillon
We prove a Fredholm determinant and short-distance series representation of the Painlevé V tau function associated to generic monodromy data. Using a relation of to t…
math-ph2018★ 8 cited
Supersymmetry breakdown for an extended version of the Nicolai supersymmetric fermion lattice model
Hajime Moriya
Sannomiya-Katsura-Nakayama have recently studied supersymmetry breakdown for an extension of the Nicolai supersymmetric fermion lattice model. This model called the extended Nicola…