Gauss-Bonnet for matrix conformally rescaled Dirac

Published 14 Jul 2017 in math.QA, hep-th, math-ph, math.MP, and math.OA | (1707.04438v3)

Abstract: We derive an explicit formula for the scalar curvature over a two-torus with a Dirac operator conformally rescaled by a globally diagonalizable matrix. We show that the Gauss-Bonnet theorem holds and extend the result to all Riemann surfaces with Dirac operators modified in the same way.

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