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Title: Cyclic Products of Higher-Genus Szegö Kernels, Modular Tensors, and Polylogarithms
A wealth of information on multiloop string amplitudes is encoded in fermionic two-point functions known as Szegö kernels. Here we show that cyclic products of any number of Szegö 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 δ . The δ -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 δ -dependent modular tensors. Published by the American Physical Society2024  more » « less
Award ID(s):
2209700
PAR ID:
10625375
Author(s) / Creator(s):
; ;
Publisher / Repository:
American Physical Society
Date Published:
Journal Name:
Physical Review Letters
Volume:
133
Issue:
2
ISSN:
0031-9007
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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