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Two dialects for KZB equations: generating one-loop open-string integrals
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DOI：10.1007/JHEP12(2020)036.png)
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Abstract
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Two different constructions generating the low-energy expansion of genus-one configuration-space integrals appearing in one-loop open-string amplitudes have been put forward in refs. [1-3]. We are going to show that both approaches can be traced back to an elliptic system of Knizhnik-Zamolodchikov-Bernard(KZB) type on the twice-punctured torus.We derive an explicit all-multiplicity representation of the elliptic KZB system for a vector of iterated integrals with an extra marked point and explore compatibility conditions for the two sets of algebra generators appearing in the two differential equations.
Keywords:
Differential and Algebraic Geometry
Superstrings and Heterotic Strings
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