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arXiv · hep-th/9203067

Applications of W-algebras to BF theories, QCD and 4D Gravity

Ralph Lano·V. G. J. Rodgers
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Abstract

We are able to show that BF theories naturally emerge from the coadjoint orbits of $W_2$ and $w_\infty$ 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 $\hbar$ contributions to gravity which can be associated with the $W_2$ anomaly. We comment on the relationship to gravitational monopoles.

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Ralph Lano, V. G. J. Rodgers. 1992-03-25. Applications of W-algebras to BF theories, QCD and 4D Gravity. https://doi.org/10.1142/s0217732392001427

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