2025/02/25 by Zhang, Ziruo, Peng, Cheng · 3 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Strongly Correlated Electrons (cond-mat.str-el)
paper · doi:10.48550/arxiv.2502.18595
Motivated by SYK-like models describing near-BPS black holes in string/M-theory, we consider gauging the U(1) symmetry of the complex SYK model in the presence of a Wilson line with charge k. At a fixed background gauge field, solutions to the Schwinger-Dyson equations display vastly different properties from those at a fixed real chemical potential. In the partition function and the two-point function, the integral over the gauge field is performed either directly or via a large N saddle point approximation, and both results are consistent with exact diagonalization data. From the behaviour of the two-point function at large N, we deduce that the conformal symmetry at low energies is preserved at fixed κ= k/N = 0, but broken at κ≠ 0. In addition, we find that there is maximal chaos for all k.