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.
Frame ambiguity in Open Gromov-Witten invariants
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abstract
We consider Open Gromov-Witten invariants for noncompact Calabi-Yau in the case the Lagrangian has the topology of $\R^2 \times S^1$. The definition of the invariant involves the choice of a frame for the Lagrangian, in accord with string theory. Our result applies to the examples arising from Large $N$-duality. In particular it leads to knot and link invariants counting holomorphic curves.
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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.