We show by explicit computation that the recently discovered duality invariance of D=4 linearized gravity is lost, already at first self-interacting, cubic approximation of general relativity. In contrast, the cubic Yang-Mills extension of Maxwell does admit a simple deformed duality.
Free spin 2 duality invariance cannot be extended to GR / D. SEMINARA; S. DESER. - In: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. - ISSN 1550-7998. - STAMPA. - 71:(2005), pp. 081502-1-081502-7. [10.1103/PhysRevD.71.081502]
Free spin 2 duality invariance cannot be extended to GR
SEMINARA, DOMENICO;
2005
Abstract
We show by explicit computation that the recently discovered duality invariance of D=4 linearized gravity is lost, already at first self-interacting, cubic approximation of general relativity. In contrast, the cubic Yang-Mills extension of Maxwell does admit a simple deformed duality.
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Physical Review D Volume 71 issue 8 2005 [doi 10.1103%2FPhysRevD.71.081502] Deser, S.; Seminara, D. -- Free spin 2 duality invariance cannot be extended to general relativity.pdf
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