M5 branes and Theta Functions
High Energy Physics - Theory
2023-02-02 v3 Mathematical Physics
math.MP
Abstract
We propose quantum states for Little String Theories (LSTs) arising from M5 branes probing A- and D-type singularities. This extends Witten's picture of M5 brane partition functions as theta functions to this more general setup. Compactifying the world-volume of the five-branes on a two-torus, we find that the corresponding theta functions are sections of line bundles over complex 4-tori. This formalism allows us to derive Seiberg-Witten curves for the resulting four-dimensional theories. Along the way, we prove a duality for LSTs observed by Iqbal, Hohenegger and Rey.
Keywords
Cite
@article{arxiv.1811.04938,
title = {M5 branes and Theta Functions},
author = {Babak Haghighat and Rui Sun},
journal= {arXiv preprint arXiv:1811.04938},
year = {2023}
}
Comments
27 pages, 1 Figure. v3: included further explanations and corrected typos. This the version published in JHEP