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- Title
SYK Model with global symmetries in the double scaling limit.
- Authors
Narayan, Prithvi; Swathi, T S
- 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.
- Subjects
SYMPLECTIC groups; UNITARY groups; HILBERT space; SYMMETRY groups; CHEMICAL potential; TRANSFER matrix; PARTITIONS (Mathematics)
- Publication
Journal of High Energy Physics, 2023, Vol 2023, Issue 5, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP05(2023)083