A Hurwitz theory avatar of open-closed strings

Mironov, A.; Morozov, A.; Natanzon, S.

doi:10.1140/epjc/s10052-013-2324-y

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A Hurwitz theory avatar of open-closed strings

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Natanzon, S.
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1140/epjc/s10052-013-2324-y
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arXiv:1208.5057.pdf
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Mironov-Morozov-Natanzon_A Hurwitz Theory Avatar Of Open-Closed Rings_2013.pdf
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Mironov, A., Morozov, A., & Natanzon, S. (2013). A Hurwitz theory avatar of open-closed strings. The European Physical Journal C, 73: 2324. doi:10.1140/epjc/s10052-013-2324-y.

Cite as: https://hdl.handle.net/21.11116/0000-0004-DC3C-2

Abstract

We review and explain an infinite-dimensional
counterpart of the Hurwitz theory realization (Alexeevski and Natanzon, Math. Russ. Izv. 72:3–24, 2008) of algebraic open–closed-string model à la Moore and Lazaroiu, where the closed and open sectors are represented by conjugation classes of permutations and the pairs of permutations, i.e. by the algebra of Young diagrams and bipartite graphs, respectively. An intriguing feature of this Hurwitz string model is the coexistence of two different multiplications, reflecting the deep interrelation between the theory of symmetric and linear groups, S_\infty and GL(\infty).