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APPLICATIONS OF W ALGEBRAS TO BF THEORIES, QCD AND 4D GRAVITY
Journal article   Peer reviewed

APPLICATIONS OF W ALGEBRAS TO BF THEORIES, QCD AND 4D GRAVITY

R.P Lano and V.G.J Rodgers
Modern physics letters A, Vol.7(19), pp.1725-1736
06/21/1992
DOI: 10.1142/S0217732392001427
url
https://arxiv.org/pdf/hep-th/9203067View
Open Access

Abstract

We are able to show that BF theories naturally emerge from the coadjoint orbits of W2 and ω∞ algebras which includes a Kac-Moody sector. Since QCD strings can be identified with a BF theory, we are able to show a relationship between the orbits and monopole-string solutions of QCD. Furthermore, we observe that when 4D gravitation is cast into a BF form through the use of Ashtekar variables, we are able to get order ħ contributions to gravity which can be associated with the W2 anomaly. We comment on the relationship to gravitational monopoles.

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