Local Langlands Duality and a Duality of Conformal Field Theories
High Energy Physics - Theory
2025-06-24 v1 Mathematical Physics
math.MP
Number Theory
Representation Theory
Abstract
We show that the numerical local Langlands duality for GL_n and the T - duality of two-dimensional quantum gravity arise from one and the same symmetry principle. The unifying theme is that the local Fourier transform in both its l-adic and complex incarnation gives rise to symmetries of arithmetic and geometric local Langlands parameters.
Keywords
Cite
@article{arxiv.1506.00663,
title = {Local Langlands Duality and a Duality of Conformal Field Theories},
author = {Martin Luu},
journal= {arXiv preprint arXiv:1506.00663},
year = {2025}
}