A novel method for computing torus amplitudes for ${\mathbb{Z}}_N$ orbifolds without the unfolding technique

Abstract

A novel method for computing torus amplitudes in orbifold compactifications is suggested. It applies universally for every Abelian ${\mathbb{Z}}_N$ orbifold without requiring the unfolding technique. This method follows from the possibility of obtaining integrals over fundamental domains of every Hecke congruence subgroup ${\Gamma }_0[N]$ by computing contour integrals over one-dimensional curves uniformly distributed in these domains.

15 pages, 2 figures,V2: style improved, typos corrected, references added

References in corpus (4)

• Spin-field Interaction Effects and Loop Dynamics in AdS/CFT Duality
• Resolution of Hagedorn singularity in superstrings with gravito-magnetic fluxes
• An Alternative for Moduli Stabilisation
• IIA moduli stabilization with badly broken supersymmetry

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