ABJM Matrix Model and 2D Toda Lattice Hierarchy
High Energy Physics - Theory
2019-05-01 v2 Mathematical Physics
math.MP
Abstract
It was known that one-point functions in the ABJM matrix model (obtained by applying the localization technique to one-point functions of the half-BPS Wilson loop operator in the ABJM theory) satisfy the Jacobi-Trudi formula, which strongly indicates the integrable structure of the system. In this paper, we identify the integrable structure of two-point functions in the ABJM matrix model as the two-dimensional Toda lattice hierarchy. The identification implies infinitely many non-linear differential equations for the generating function of the two-point functions.
Keywords
Cite
@article{arxiv.1901.00541,
title = {ABJM Matrix Model and 2D Toda Lattice Hierarchy},
author = {Tomohiro Furukawa and Sanefumi Moriyama},
journal= {arXiv preprint arXiv:1901.00541},
year = {2019}
}
Comments
35 pages, 7 eps figures; v2: references added