کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1840013 1527726 2015 40 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Threshold corrections, generalised prepotentials and Eichler integrals
ترجمه فارسی عنوان
اصلاحات آستانه، پیش فرضهای عمومی و انتگرالهای ایکلر
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
چکیده انگلیسی

We continue our study of one-loop integrals associated to BPS-saturated amplitudes in N=2N=2 heterotic vacua. We compute their large-volume behaviour, and express them as Fourier series in the complexified volume, with Fourier coefficients given in terms of Niebur–Poincaré series in the complex structure modulus. The closure of Niebur–Poincaré series under modular derivatives implies that such integrals derive from holomorphic prepotentials fnfn, generalising the familiar prepotential of N=2N=2 supergravity. These holomorphic prepotentials transform anomalously under T-duality, in a way characteristic of Eichler integrals. We use this observation to compute their quantum monodromies under the duality group. We extend the analysis to modular integrals with respect to Hecke congruence subgroups, which naturally arise in compactifications on non-factorisable tori and freely-acting orbifolds. In this case, we derive new explicit results including closed-form expressions for integrals involving the Γ0(N)Γ0(N) Hauptmodul, a full characterisation of holomorphic prepotentials including their quantum monodromies, as well as concrete formulæ for holomorphic Yukawa couplings.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Volume 897, August 2015, Pages 781–820
نویسندگان
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