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Global gravitational anomalies and transport

Chowdhury, Subham Dutta and David, R Justin (2016) Global gravitational anomalies and transport. In: JOURNAL OF HIGH ENERGY PHYSICS (12).

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Official URL: http://dx.doi.org/10.1007/JHEP12(2016)116


We investigate the constraints imposed by global gravitational anomalies on parity odd induced transport coefficients in even dimensions for theories with chiral fermions, gravitinos and self dual tensors. The eta-invariant for the large diffeomorphism corresponding to the T transformation on a torus constraints the coefficients in the thermal effective action up to mod 2. We show that the result obtained for the parity odd transport for gravitinos using global anomaly matching is consistent with the direct perturbative calculation. In d = 6 we see that the second Pontryagin class in the anomaly polynomial does not contribute to the eta-invariant which provides a topological explanation of this observation in the `replacement rule'. We then perform a direct perturbative calculation for the contribution of the self dual tensor in d = 6 to the parity odd transport coefficient using the Feynman rules proposed by Gaume and Witten. The result for the transport coefficient agrees with that obtained using matching of global anomalies.

Item Type: Journal Article
Publisher: SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Additional Information: Copy right for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 20 May 2017 05:43
Last Modified: 20 May 2017 05:43
URI: http://eprints.iisc.ac.in/id/eprint/56916

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