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Thermal response of the Nieh-Yan term (2411.18592v1)

Published 27 Nov 2024 in hep-th, cond-mat.mes-hall, cond-mat.str-el, and hep-ph

Abstract: We reinterpret the Nieh-Yan anomaly using holography, finding that the $U(1)$ axial symmetry remains unbroken and the axial current coupling to an external gauge field is conserved. Instead, the anomaly arises from a breakdown of Hodge duality relations between fermion bilinears due to symmetry constraints on one-form currents. We also compute the thermal response of the Nieh-Yan term, revealing its characteristic $T2$ dependence.

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