$SO/Sp$ Chern-Simons Gauge Theories At Large $N$, $SO/Sp$ Penner Models And The Gauge Group Volumes

Noureddine Chair; Mohammad Dalabeeh

doi:10.1143/PTP.127.179

paper

$S O / S p$ Chern-Simons Gauge Theories At Large $N$ , $S O / S p$ Penner Models And The Gauge Group Volumes

arXiv:1206.1508 · doi:10.1143/PTP.127.179

Abstract

We construct a deformed $S O / S p$ Penner generating function responsible for the close connection between $S O / S p$ Chern-Simons gauge theories at large $N$ and the $S O / S p$ 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 $g \geq 0$ and shown to be equivalent to the continuum limits of the $S O / S p$ Chern-Simons gauge theories and the $S O / S p$ Penner models

19 pages; Progress of Theoretical Physics, Vol. 127, No. 2, February 2012

Cited by in corpus (1)

Generalized Penner model and the Gaussian beta ensemble

SO/Sp Chern-Simons Gauge Theories At Large N, SO/Sp Penner Models And The Gauge Group Volumes

Abstract

Cited by in corpus (1)

$S O / S p$ Chern-Simons Gauge Theories At Large $N$ , $S O / S p$ Penner Models And The Gauge Group Volumes