Dimensional interpolation and the Selberg integral

JOURNAL OF GEOMETRY AND PHYSICS

卷:145

Article

Golyshev, V¹  van Straten, D.²  Zagier, D.^3,4 

[1] Inst Informat Transmiss Problems, Algebra & Number Theory Lab, Bolshoi Karetny 19, Moscow 127994, Russia

[2] Johannes Gutenberg Univ Mainz, Inst Math, Staudingerweg 9,4OG, D-55128 Mainz, Germany

[3] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany

[4] Abdus Salaam Int Ctr Theoret Phys, Via Miramare, Trieste, Italy

关键词: Dimensional regularization;    Mirror symmetry;    Selberg integral;   

DOI  :  10.1016/j.geomphys.2019.06.006

来源: Elsevier

【 摘 要 】

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. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free