Novel Symmetries of Topological Conformal Field theories

J. Sonnenschein; S. Yankielowicz

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arXiv · hep-th/9108008

Novel Symmetries of Topological Conformal Field theories

J. Sonnenschein·S. Yankielowicz

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Abstract

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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J. Sonnenschein, S. Yankielowicz. 1991-08-20. Novel Symmetries of Topological Conformal Field theories. https://arxiv.org/abs/hep-th/9108008

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