(Z)over-cap invariants at rational τ

被引：10

作者：

Kucharski, Piotr ^{[1
,2
]}

机构：

[1] CALTECH, Walter Burke Inst Theoret Phys, Pasadena, CA 91125 USA

[2] Univ Warsaw, Fac Phys, Ul Pasteura 5, PL-02093 Warsaw, Poland

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2019年 / 2019卷 / 09期

基金：

美国国家科学基金会;

关键词：

Chern-Simons Theories; Quantum Groups; Supersymmetric Gauge Theory; Topological Field Theories; QUANTUM INVARIANTS; 3-MANIFOLDS; LINK;

D O I：

10.1007/JHEP09(2019)092

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

(Z) over cap invariants of 3-manifolds were introduced as series in q = e(2 pi i tau) in order to categorify Witten-Reshetikhin-Turaev invariants corresponding to tau = 1/k. However modularity properties suggest that all roots of unity are on the same footing. The main result of this paper is the expression connecting Reshetikhin-Turaev invariants with (Z) over cap invariants for tau is an element of Q. We present the reasoning leading to this conjecture and test it on various 3-manifolds.

引用

页数：16

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