Published August 2025 | Version Published
Journal Article Open

Elliptic A_n Selberg Integrals

  • 1. ROR icon University of Vienna
  • 2. ROR icon California Institute of Technology
  • 3. ROR icon University of Queensland

Abstract

We use the elliptic interpolation kernel due to the second author to prove an A_n extension of the elliptic Selberg integral. More generally, we obtain elliptic analogues of the A_n Kadell, Hua–Kadell and Alba–Fateev–Litvinov–Tarnopolsky (or AFLT) integrals.

Copyright and License

© The Author(s) 2025. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Funding

Open access funding provided by University of Vienna.

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Additional details

Related works

Describes
Journal Article: https://rdcu.be/eSnyQ (ReadCube)
Is new version of
Discussion Paper: arXiv:2306.02442 (arXiv)

Funding

University of Vienna

Dates

Accepted
2025-02-11
Available
2025-05-23
Published online

Caltech Custom Metadata

Caltech groups
Division of Physics, Mathematics and Astronomy (PMA)
Publication Status
Published