# Torsional Anomalies and Bulk-Dislocation Correspondence in Weyl Systems

10 Mar 2020 Huang Ze-Min Han Bo

Based on the supersymmetric quantum mechanical approach, we have systematically studied both the $U\left(1\right)$ gauge anomaly and the diffeomorphism anomaly in Weyl systems with torsion, curvature and external electromagnetic fields. These anomalies relate to the chiral current (or current) non-conservation and chiral energy-momentum (or energy-momentum) non-conservation, respectively, which can be applied to the $^{3}\text{He-A}$ phase, the chiral superconductors and the Weyl semimetals with dislocations and disclinations... (read more)

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• MESOSCALE AND NANOSCALE PHYSICS
• SUPERCONDUCTIVITY
• HIGH ENERGY PHYSICS - THEORY