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  Dimensional interpolation and the Selberg integral

Golyshev, V., van Straten, D., & Zagier, D. (2019). Dimensional interpolation and the Selberg integral. Journal of Geometry and Physics, 145: 103455. doi:10.1016/j.geomphys.2019.06.006.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-9D01-A Version Permalink: https://hdl.handle.net/21.11116/0000-0004-9D02-9
Genre: Journal Article

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arXiv:1906.00071.pdf (Preprint), 148KB
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 Creators:
Golyshev, V., Author
van Straten, D., Author
Zagier, D.1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry, High Energy Physics - Theory
 Abstract: We show that a version of dimensional interpolation for the Riemann–Roch–Hirzebruch formalism in the case of a Grassmannian leads to an expression for the Euler characteristic of line bundles in terms of a Selberg integral. We propose a way to interpolate higher Bessel equations, their wedge powers, and monodromies thereof to non-integer orders, and link the result with the dimensional interpolation of the RRH formalism in the spirit of the gamma conjectures.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: arXiv: 1906.00071
DOI: 10.1016/j.geomphys.2019.06.006
URI: http://arxiv.org/abs/1906.00071
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Title: Journal of Geometry and Physics
  Abbreviation : J. Geom. Phys.
Source Genre: Journal
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Publ. Info: Elsevier
Pages: - Volume / Issue: 145 Sequence Number: 103455 Start / End Page: - Identifier: -