The (2,5) minimal model on degenerating genus two surfaces

Leitner, Marianne (2018) The (2,5) minimal model on degenerating genus two surfaces. (Preprint)

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Abstract

In the (2, 5) minimal model, the partition function for genus g = 2 Riemann surfaces is expected to be given by a quintuplet of Siegel modular forms that extend the Rogers-Ramanujan functions on the torus. Their expansions around the g = 2 boundary components of the moduli space are obtained in terms of standard modular forms. In the case where a handle of the g = 2 surface is pinched, our method requires knowledge of the 2-point function of the fundamental lowest-weight vector in the non-vacuum representation of the Virasoro algebra, for which we derive a third order ODE.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 13:50
Last Modified: 14 Dec 2022 20:52
URI: https://dair.dias.ie/id/eprint/559

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