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arXiv · 1906.03576

Virasoro algebra in $K$-space

Syoji Zeze
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Abstract

We introduce a novel representation of Virasoro algebra in open string field theory. Elements of the algebra are vector fields on the $K$-space, where $K$ is the string field that generates a world sheet strip in sliver frame. The generators introduce a global symmetry of open string field theory. We also derive a representation of Virasoro algebra for nontrivial open string background described by the formal pure gauge solution. Generators for 0, 1 and 2 D-branes are explicitly studied and different behaviors around $K=0$ are observed.

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Syoji Zeze. 2019-06-09. Virasoro algebra in $K$-space. https://arxiv.org/abs/1906.03576

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