7–11 Jul 2025
Northeastern University
US/Eastern timezone

Higher-Dimensional Fermionic SYK Model in IR Region

8 Jul 2025, 16:06
17m
ISEC (Northeastern University)

ISEC

Northeastern University

Interdisciplinary Science & Engineering Complex (ISEC) 805 Columbus Ave, Boston, MA 02120

Speaker

Chen-Te Ma

Description

We study the 2D fermionic SYK model with Majorana fermions, featuring a kinetic term with a quartic expression and a $2q$-body interaction with Gaussian disorder. By minimizing the effective action or solving the SD equation for $q=1$, we determine that the appropriate ansatz involves zero spins. Our computation of the Lyapunov exponent shows violations of chaos and unitarity bounds. The gravitational dual corresponds to AdS$_3$ Einstein gravity with a finite radial cut-off even if we lose the non-zero spins. We also extend the SYK model to higher dimensions while maintaining a similar SD equation in the IR.

Presentation materials