SYK Model with global symmetries in the double scaling limit
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.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- May 2023
- DOI:
- 10.1007/JHEP05(2023)083
- arXiv:
- arXiv:2302.11882
- Bibcode:
- 2023JHEP...05..083N
- Keywords:
-
- 1/N Expansion;
- AdS-CFT Correspondence;
- Field Theories in Lower Dimensions;
- Random Systems;
- High Energy Physics - Theory;
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 39 pages and appendices