SO/Sp Chern-Simons Gauge Theories at Large N, SO/Sp Penner Models and the Gauge Group Volumes

Progress of Theoretical Physics Pub Date : 2012-02-01 DOI:10.1143/PTP.127.179

N. Chair, M. Dalabeeh

引用次数: 0

Abstract

We construct a deformed SO/Sp Penner generating function responsible for the close connection between SO/Sp Chern-Simons gauge theories at large N and the SO/Sp Penner models. This construction is then shown to follow from a sector of a Chern-Simons gauge theory with coupling constant λ. The free energy and its continuum limit of the perturbative Chern-Simons gauge theory are obtained from the Penner model. Finally, asymptotic expansions for the logarithm of the gauge group volumes are given for every genus g ≥ 0a nd shown to be equivalent to the continuum limits of the SO/Sp Chern-Simons gauge theories and the SO/Sp Penner models. Subject Index: 013, 103, 105, 127, 183

查看原文本刊更多论文

SO/Sp chen - simons在大N的规范理论，SO/Sp Penner模型和规范群体积

我们构造了一个变形的SO/Sp Penner生成函数，负责大N下SO/Sp chen - simons规范理论与SO/Sp Penner模型之间的紧密联系。然后从具有耦合常数λ的chen - simons规范理论的扇形中证明了这种构造。从Penner模型得到了摄动chen - simons规范理论的自由能及其连续统极限。最后，对于g≥0a的每一个属，给出了规范群体积的对数的渐近展开式，并证明其等价于SO/Sp Chern-Simons规范理论和SO/Sp Penner模型的连续极限。学科索引:013、103、105、127、183

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Progress of Theoretical Physics 物理-物理：综合

自引率

0.00%

发文量

审稿时长

4-8 weeks