Eight dimensional physics and the Langlands program - A short note

TL;DR

This paper proposes that Langlands duality can be fundamentally understood through an eight-dimensional theoretical framework related to F-theory 7-branes, offering a new perspective on dualities in mathematical physics.

Contribution

It introduces the idea that Langlands duality is rooted in an eight-dimensional theory on F-theory 7-branes, providing a novel conceptual link between physics and number theory.

Findings

Implicit step in dualities suggests eight-dimensional perspective

Arguments supporting the relevance of eight-dimensional theory

Potential implications for understanding Langlands duality

Abstract

We argue that a special step in the chain of dualities used in [Tan 2008] implicitly suggests to view Langlands duality as being fundamentally rooted in an eight-dimensional theory on the F-theory 7- brane. We give further arguments why such an eight-dimensional per- spective might be of interest.