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A note on the SYK model with complex fermions

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arxiv 1706.07411 v2 pith:5A2WFJHI submitted 2017-06-22 hep-th

classification hep-th
keywords complexfermionsmodelapplychargecomputeconsidercorresponding
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We consider a version of the Sachdev-Ye-Kitaev model with complex fermions. We apply the shadow formalism to find four-point functions in the leading order in $1/N$ and dimensions of operators present in the theory. We also compute the retarded kernel and show that the Lyapunov exponent for the mode corresponding to the $U(1)$ charge is zero.

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  1. $F$-extremization determines certain large-$N$ CFTs

    hep-th 2024-12 conditional novelty 7.0 of 10

    Melonic large-N CFTs are exactly the conformal mean field theories that extremize the universal part of the sphere free energy under linear IR marginality constraints.

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