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Chern-Simons Gauge Theory As A String Theory
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Certain two dimensional topological field theories can be interpreted as string theory backgrounds in which the usual decoupling of ghosts and matter does not hold. Like ordinary string models, these can sometimes be given space-time interpretations. For instance, three-dimensional Chern-Simons gauge theory can arise as a string theory. The world-sheet model in this case involves a topological sigma model. Instanton contributions to the sigma model give rise to Wilson line insertions in the space-time Chern-Simons theory. A certain holomorphic analog of Chern-Simons theory can also arise as a string theory.
Forward citations
Cited by 14 Pith papers
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Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex
First topological-vertex computations of colored unknot and Hopf link invariants in RP^3 yield power series with positive integer q-expansions, conjecturally the Poincare series of a new link homology.
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Strings from Feynman Diagrams
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Tropical Branes
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Quantum Master Equation and Open Gromov-Witten Theory 2
The paper defines the non-abelian open Gromov-Witten potential and derives a quantum master equation for it, conditional on auxiliary constructions from the author's companion papers.
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Intersecting surface operators in 6d holomorphic Chern-Simons and BF theories produce local R-matrix-like operators with evidence for Yang-Baxter relations and derived coproducts from OPEs.
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The higher-genus open-closed Gromov-Witten potential is constructed and shown to solve the quantum master equation up to quantum master isotopy.
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