A novel method for computing torus amplitudes in orbifold compactifications is suggested. It applies universally for every Abelian N orbifold without requiring the unfolding technique. This method follows from the possibility of obtaining integrals over fundamental domains of every Hecke congruence subgroup Γ 0[N] by computing contour integrals over one-dimensional curves uniformly distributed in these domains.
A novel method for computing torus amplitudes for ZN orbifolds without the unfolding technique / M. Cardella. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - :5(2009), pp. 010.1-010.15. [10.1088/1126-6708/2009/05/010]
A novel method for computing torus amplitudes for ZN orbifolds without the unfolding technique
M. Cardella
2009
Abstract
A novel method for computing torus amplitudes in orbifold compactifications is suggested. It applies universally for every Abelian N orbifold without requiring the unfolding technique. This method follows from the possibility of obtaining integrals over fundamental domains of every Hecke congruence subgroup Γ 0[N] by computing contour integrals over one-dimensional curves uniformly distributed in these domains.File | Dimensione | Formato | |
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