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Flat gauge fields and the Riemann-Hilbert correspondence (1912.01239v2)
Published 3 Dec 2019 in math-ph, hep-th, and math.MP
Abstract: The geometric phase that appears in the effects of Aharonov-Bohm type is interpreted in the frame of Deligne's version of the Riemann-Hilbert correspondence. We extend also the concept of flat gauge field to $B$-branes which are coherent sheaves, so that such a field on a sheaf turns it into a holonomic regular $D$-module.
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