Universality in Chern-Simons theory

被引：30
|
作者：
Mkrtchyan, R. L. [1 ]
Veselov, A. P. [2 ,3 ]
机构：
[1] Yerevan Phys Inst, Yerevan 0036, Armenia
[2] Loughborough Univ Technol, Dept Math, Loughborough LE11 3TU, Leics, England
[3] Moscow MV Lomonosov State Univ, Moscow, Russia
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2012年 / 08期
基金：
英国工程与自然科学研究理事会;
关键词：
Chern-Simons Theories; Topological Field Theories; Integrable Field Theories; EXCEPTIONAL SERIES; LIE; INVARIANTS; FORMULA; VOLUME;
D O I：
10.1007/JHEP08(2012)153
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：
We show that the perturbative part of the partition function in the Chern-Simons theory on a 3-sphere as well as the central charge and expectation value of the unknotted Wilson loop in the adjoint representation can be expressed in terms of the universal Vogel's parameters alpha, beta, gamma. The derivation is based on certain generalisations of the Freudenthal-de Vries strange formula.
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页数：12
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