论文标题

总体通知 - 穆卡瓦群岛

The Gross-Neveu-Yukawa Archipelago

论文作者

Erramilli, Rajeev S., Iliesiu, Luca V., Kravchuk, Petr, Liu, Aike, Poland, David, Simmons-Duffin, David

论文摘要

我们对具有O(n)全局对称性的均等的3D CFT进行了骨气和费米子操作员的四点函数的混合系统进行引导分析。我们的结果在O(n) - 对称性总纽卡瓦(GNY)固定点的缩放维度上提供了严格的界限,从而将这些理论限制为在CFT数据空间中生活在孤立的岛屿中。我们专注于n = 1、2、4、8的情况,这些情况在冷凝物质系统中具有应用,并将我们的界限与以前的分析和数值结果进行比较。

We perform a bootstrap analysis of a mixed system of four-point functions of bosonic and fermionic operators in parity-preserving 3d CFTs with O(N) global symmetry. Our results provide rigorous bounds on the scaling dimensions of the O(N)-symmetric Gross-Neveu-Yukawa (GNY) fixed points, constraining these theories to live in isolated islands in the space of CFT data. We focus on the cases N = 1, 2, 4, 8, which have applications to phase transitions in condensed matter systems, and compare our bounds to previous analytical and numerical results.

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