66 citations · 145 across the 18 of their papers we have counts for
18 papers
Minimal models, modular linear differential equations and modular forms of fractional weights
Kiyokazu Nagatomo, Yuichi Sakai
We show that modular forms of fractional weights on principal congruence subgroups of odd levels, which are found by T. Ibukiyama, naturally appear as characters being multiplied $…
Modular Linear Differential Operators and Generalized Rankin-Cohen Brackets
Kiyokazu Nagatomo, Yuichi Sakai, Don Zagier
The aim in this paper is to give expressions for modular linear differential operators of any order. In particular, we show that they can all be described in terms of Rankin-Cohen…
Vertex Operator Algebras with central charge 8 and 16
Geoffrey Mason, Kiyokazu Nagatomo, Yuichi Sakai
We will partially classify spaces of characters of vertex operator algebras with central charges 8 and 16, such that the spaces of characters is 3-dimensional and the character…
Vertex Operator Algebras with Two Simple Modules - the Mathur-Mukhi-Sen Theorem Revisited
Geoffrey Mason, Kiyokazu Nagatomo, Yuichi Sakai
Let be a strongly regular vertex operator algebra and let be the space spanned by the characters of the irreducible -modules.\ It is known that i…
Some remarks on pseudo-trace functions for orbifold models associated with symplectic fermions
Yusuke Arike, Kiyokazu Nagatomo
We give a method to construct pseudo-trace functions for vertex operator algebras satisfying Zhu's finiteness condition not through higher Zhu's algebras and apply our method to th…
One-point functions over elliptic curves
Yusuke Arike, Kiyokazu Nagatomo
This paper has been withdrawn.