Novel Symmetries of Topological Conformal Field theories

Details Novel Symmetries of Topological Conformal Field theories Novel Symmetries of Topological Conformal Field theories

1991-08-20

arxiv.org/abs/hep-th/9108008v1

Physics

High Energy Physics

High Energy Physics - Theory

26 pages

Scientific paper

We show that various actions of topological conformal theories that were suggested recentely are particular cases of a general action. We prove the invariance of these models under transformations generated by nilpotent fermionic generators of arbitrary conformal dimension, $\Q$ and $\G$. The later are shown to be the $n^{th}$ covariant derivative with respect to ``flat abelian gauge field" of the fermionic fields of those models. We derive the bosonic counterparts $\W$ and $\R$ which together with $\Q$ and $\G$ form a special $N=2$ super $W_\infty$ algebra. The algebraic structure is discussed and it is shown that it generalizes the so called ``topological algebra".

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