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hep-th2019
Modular Parametrization as Polyakov Path Integral: Cases with CM Elliptic Curves as Target Spaces
Satoshi Kondo, Taizan Watari
For an elliptic curve E over an abelian extension k/K with CM by K of Shimura type, the L-functions of its [k:K] Galois representations are Mellin transforms of Hecke theta functio…
hep-th2019★ 9 cited
Modular Forms as Classification Invariants of 4D N=2 Heterotic--IIA Dual Vacua
Yuichi Enoki, Taizan Watari
We focus on 4D string vacua described both by perturbative Heterotic theory and by Type IIA theory; a Calabi--Yau three-fold in the Type IIA language…