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arxiv: 2302.11882 · v1 · pith:VT4DBFUCnew · submitted 2023-02-23 · ✦ hep-th · cond-mat.str-el

SYK Model with global symmetries in the double scaling limit

Prithvi Narayan , Swathi T S This is my paper
classification ✦ hep-th cond-mat.str-el
keywords symmetrieschorddiagramdoublegloballimitmodelscaling
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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.

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