Year: 2013
Type: article
Abstract: 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 $ {{\mathbb{Z}}_N} $ orbifolds, where the integrand decomposes into a sum of orbifold blocks that can be organised into orbits of the Hecke congruence subgroup Γ0(N). As a result, the original modular integral reduces to an integral over the fundamental domain of Γ0(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.
Source: Journal of High Energy Physics
Authors: Carlo Angelantonj, Ioannis Florakis, Boris Pioline
Institutions: Istituto Nazionale di Fisica Nucleare, Sezione di Torino, University of Turin, Max Planck Institute for Physics, Centre National de la Recherche Scientifique, Laboratoire de Physique Théorique et Hautes Energies, Université Pierre-et-Marie-Curie, European Organization for Nuclear Research
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid:
OpenAlex ID: W2096828620