SYK Model with global symmetries in the double scaling limit
High Energy Physics - Theory
2023-05-31 v1 Strongly Correlated Electrons
Abstract
We discuss the double scaling limit of the SYK model with global symmetries. We develop the chord diagram techniques to compute the moments of the Hamiltonian and the two point function in the presence of arbitrary chemical potential. We also derive a transfer matrix acting on an auxiliary Hilbert space which can capture the chord diagram contributions. We present explicit results for the case of classical group symmetries namely orthogonal, unitary and symplectic groups. We also find the partition functions at fixed charges.
Keywords
Cite
@article{arxiv.2302.11882,
title = {SYK Model with global symmetries in the double scaling limit},
author = {Prithvi Narayan and Swathi T S},
journal= {arXiv preprint arXiv:2302.11882},
year = {2023}
}
Comments
39 pages and appendices