Universality in Chern-Simons theory

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, \ga...

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Veröffentlicht in:	arXiv.org 2012-05
Hauptverfasser:	Mkrtchyan, Ruben L, Veselov, Alexander P
Format:	Artikel
Sprache:	eng
Schlagworte:	Field theory (physics) Mathematics - Mathematical Physics Partitions (mathematics) Physics - High Energy Physics - Theory Physics - Mathematical Physics Quantum theory
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	2331-8422
DOI:	10.48550/arxiv.1203.0766