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

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

2008-12-08

arxiv.org/abs/0812.1549v2

JHEP 0905:010,2009

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1126-6708/2009/05/010

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.

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