Lattice Realization of Complex Conformal Field Theories: Two-Dimensional Potts Model with Q > 4 States 1

被引：2

作者：

Jacobsen, Jesper Lykke ^{[1
,2
,3
]}

Wiese, Kay Jorg ^{[1
]}

机构：

[1] Univ Paris Cite, PSL Res Univ, Sorbonne Univ, CNRS,Lab Phys,Ecole Normale Super, 24 Rue Lhomond, F-75005 Paris, France

[2] Sorbonne Univ, Ecole Normale Super, CNRS, Lab Phys LPENS, F-75005 Paris, France

[3] Univ Paris Saclay, Inst Phys Theor, CEA, CNRS, Batiment 774, F-91191 Gif Sur Yvette, France

来源：

PHYSICAL REVIEW LETTERS | 2024年 / 133卷 / 07期

关键词：

INVARIANCE; CHARGE;

D O I：

10.1103/PhysRevLett.133.077101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The two-dimensional Q- state Potts model with real couplings has a first-order transition for Q > 4. We study a loop-model realization in which Q is a continuous parameter. This model allows for the collision of a critical and a tricritical fixed point at Q = 4, which then emerge as complex conformally invariant theories at Q > 4, or even complex Q, for suitable complex coupling constants. All critical exponents can be obtained as analytic continuation of known exact results for Q <= 4. We verify this scenario in detail for Q = 5 using transfer-matrix computations.

引用

页数：6

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