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Article Dans Une Revue Journal of High Energy Physics Année : 2013

Rankin-Selberg methods for closed strings on orbifolds

Résumé

In recent work we have developed a new unfolding method for computing one-loop modular integrals in string theory involving the Narain partition function and, possibly, a weak almost holomorphic elliptic genus. Unlike the traditional approach, the Narain lattice does not play any role in the unfolding procedure, T-duality is kept manifest at all steps, a choice of Weyl chamber is not required and the analytic structure of the amplitude is transparent. In the present paper, we generalise this procedure to the case of Abelian Z_N orbifolds, where the integrand decomposes into a sum of orbifold blocks that can be organised into orbits of the Hecke congruence subgroup {\Gamma}_0(N). As a result, the original modular integral reduces to an integral over the fundamental domain of {\Gamma}_0(N), which we then evaluate by extending our previous techniques. Our method is applicable, for instance, to the evaluation of one-loop corrections to BPS-saturated couplings in the low energy effective action of closed string models, of quantum corrections to the Kähler metric and, in principle, of the free-energy of superstring vacua.

Dates et versions

hal-00814356 , version 1 (17-04-2013)

Identifiants

Citer

Carlo Angelantonj, Ioannis Florakis, Boris Pioline. Rankin-Selberg methods for closed strings on orbifolds. Journal of High Energy Physics, 2013, 2013 (1037), pp.181. ⟨10.1007/JHEP07(2013)181⟩. ⟨hal-00814356⟩
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