A note on generalized hypergeometric functions, KZ solutions, and gluon amplitudes

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A note on generalized hypergeometric functions, KZ solutions, and gluon amplitudes

Some aspects of Aomoto’s generalized hypergeometric functions on Grassmannian spaces Gr(k+1, n+1) are reviewed. Particularly, their integral representations in terms of twisted homology and cohomology are clarified with an example of the Gr(2, 4) case which corresponds to Gauss’ hypergeometric functions. The cases of Gr(2, n + 1) in general lead to (n + 1)-point solutions of the Knizhnik-Zamolo...

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ژورنال

عنوان ژورنال: Nuclear Physics B

سال: 2016

ISSN: 0550-3213

DOI: 10.1016/j.nuclphysb.2016.03.032