Mathematical Physics

    

On the Link Between the Structure of a-Branes Observed in the Homological Mirror Symmetry and the Classical Theory of Automorphic Forms: Mathematical Connections with the Modular Elliptic Curves, P-Adic and Adelic Numbers and P-Adic and Adelic Strings.

Authors: Michele Nardelli

This paper is a review of some interesting results that has been obtained in the study of the categories of A-branes on the dual Hitchin fibers and some interesting phenomena associated with the endoscopy in the geometric Langlands correspondence of various authoritative theoretical physicists and mathematicians. The geometric Langlands correspondence has been interpreted as the mirror symmetry of the Hitchin fibrations for two dual reductive groups. This mirror symmetry reduces to T-duality on the generic Hitchin fibers. Also from this work we’ve showed that can be obtained interesting and new mathematical connections with some sectors of Number Theory and String Theory, principally with the modular elliptic curves, p-adic and adelic numbers and p-adic and adelic strings.

Comments: 64 Pages.

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Submission history

[v1] 2020-03-23 12:56:37

Unique-IP document downloads: 144 times

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