تقرير
Cyclic products of higher-genus Szeg\'o kernels, modular tensors and polylogarithms
| العنوان: | Cyclic products of higher-genus Szeg\'o kernels, modular tensors and polylogarithms |
|---|---|
| المؤلفون: | D'Hoker, Eric, Hidding, Martijn, Schlotterer, Oliver |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory, Mathematics - Algebraic Geometry, Mathematics - Number Theory |
| الوصف: | A wealth of information on multiloop string amplitudes is encoded in fermionic two-point functions known as Szeg\"o kernels. In this paper we show that cyclic products of any number of Szeg\"o kernels on a Riemann surface of arbitrary genus may be decomposed into linear combinations of modular tensors on moduli space that carry all the dependence on the spin structure $\delta$. The $\delta$-independent coefficients in these combinations carry all the dependence on the marked points and are composed of the integration kernels of higher-genus polylogarithms. We determine the antiholomorphic moduli derivatives of the $\delta$-dependent modular tensors. Comment: 5.5 + 1.5 pages; v2: version to be published in Physics Review Letters, merged with the supplemental material as appendices |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2308.05044 |
| رقم الأكسشن: | edsarx.2308.05044 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |