Abstract
We study of chiral fermions on a quantum curve by embedding them in string theory as an intersecting D-brane configuration together with a B-field. Mathematically, this system is described by a holonomic D-module. Here we focus on spectral curves, which play a prominant role in the theory of (quantum) integrable hierarchies. We show how to associate a quantum state to the system, and subsequently how to compute quantum invariants. The material of this paper is treated at greater length in the paper [R. Dijkgraaf, L. Hollands and P. Sulkowski, arXiv:0810.4157] that also contains many examples.
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