Citation

BibTex format

@article{Borsten:2025:10.1103/3nkh-t15m,
author = {Borsten, L and Duff, MJ and Kanakaris, D and Kim, H},
doi = {10.1103/3nkh-t15m},
journal = {Physical Review D},
title = {Duality anomalies in linearized gravity},
url = {http://dx.doi.org/10.1103/3nkh-t15m},
volume = {112},
year = {2025}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - <jats:p>Classical linearized gravity admits a dual formulation in terms of a higher-rank tensor field. However, proposing a prescription for the instanton sectors of linearized gravity and its dual, we show that they may be . The duality anomaly is obtained by resolving the dual graviton theories into vector-valued <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>p</a:mi></a:math>-form electrodynamics and is controlled by three topological invariants: the Reidemeister torsion, Ray-Singer torsion, and twisted Euler characteristic. Under the proposed instanton prescription, the duality anomaly vanishes for an odd number of spacetime dimensions as a consequence of the celebrated Cheeger-Müller theorem. In the presence of a gravitational <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi>θ</c:mi></c:math>-term, the partition function is a modular form in direct analogy to Abelian S-duality for Maxwell theory.</jats:p>
AU  - Borsten,L
AU  - Duff,MJ
AU  - Kanakaris,D
AU  - Kim,H
DO  - 10.1103/3nkh-t15m
PY  - 2025///
SN  - 2470-0010
TI  - Duality anomalies in linearized gravity
T2  - Physical Review D
UR  - http://dx.doi.org/10.1103/3nkh-t15m
UR  - https://doi.org/10.1103/3nkh-t15m
VL  - 112
ER  -
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