标题： 红外区域中的高维费米子SYK模型 显示英文标题

标题： Higher-Dimensional Fermionic SYK Model in IR Region

摘要： 我们研究了具有马约拉纳费米子的二维费米型SYK模型，该模型具有四次表达式的动能项和带有高斯无序的$2q$体相互作用。通过最小化有效作用量或求解$q=1$的SD方程，我们确定适当的假设涉及零自旋。我们的李雅普诺夫指数计算显示了混沌和单位性界限的违反。引力对偶对应于即使我们失去非零自旋，也具有有限径向截断的AdS$_3$爱因斯坦引力。我们还将SYK模型扩展到更高维度，同时在红外区域保持类似的SD方程。 显示英文摘要

摘要： 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.