Spontaneous Breaking of U(1) Symmetry in Coupled Complex Sachdev-Ye-Kitaev Models

ORAL

Abstract

We study two copies of the complex SYK model coupled by a quartic term preserving the U (1) × U (1) symmetry. When the coupling coefficient α lies in a certain range, the large N theory is nearly conformal. We derive the large N Dyson-Schwinger equations and show that for the coupling α outside this range, the axial U(1) symmetry is spontaneously broken at low temperatures. We support these findings by exact diagonalizations extrapolated to large N.

*The research of IRK, AM and WZ was supported in part by the US NSF under Grants No. PHY-1620059 and PHY-1914860.

The research of GT was supported by DOE Grant No. DE-SC0019030.

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Presenters

  • Grigory Tarnopolsky

    • Harvard University

Authors

  • Igor R Klebanov

    • Princeton University
    • Physics, Princeton University

  • Alexey Milekhin

    • Physics, Princeton University

  • Grigory Tarnopolsky

    • Harvard University

  • Wenli Zhao

    • Physics, Princeton University