Abstract
Duality symmetry is an important property of internal sourceless gauge theories. It says that the dynamic field equation is, in absence of source, just the Bianchi identity written for the dual of the field strength, and vice versa. This means that, if we know the geometry, we automatically know the dynamics. Duality is present neither in General Relativity nor in Teleparallel Gravity. Taking advantage of the possibility of separating torsion into irreducible components under the global Lorentz group, a dual-symmetric toy sub-theory of Teleparallel Gravity is obtained.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Gribl Lucas, T., Pereira, J.G.: J. Phys. A 42, 035402 (2009). 0811.2066 [gr-qc]
de Andrade, V.C., Barbosa, A.L., Pereira, J.G.: Int. J. Mod. Phys. D 14, 1635 (2005). gr-qc/0501037
Obukhov, Yu.N., Pereira, J.G.: Phys. Rev. D 67, 044008 (2003). gr-qc/0212078
Pauli, W., Fierz, M.: Helv. Phys. Acta 12, 297 (1939)
Fierz, M., Pauli, W.: Proc. R. Soc. Lond. Ser. A 173, 211 (1939)
Henneaux, M., Teitelboim, C.: Phys. Rev. D 71, 024018 (2005). gr-qc/0408101
Mosna, R.A., Pereira, J.G.: Gen. Relativ. Gravit. 36, 2525 (2004). gr-qc/0312093
Hayashi, K., Shirafuji, T.: Phys. Rev. D 19, 3524 (1979)
Ashtekar, A.: Class. Quantum Gravity 21, R5 (2004)
Weinberg, S.: The Quantum Theory of Fields, vol. 1. Cambridge University Press, Cambridge (1995)
Ashtekar, A., Balachandran, A.P., Jo, S.: Int. J. Mod. Phys. A 4, 1493 (1989)
Pereira, J.G., Vargas, T., Zhang, C.M.: Class. Quantum Gravity 18, 833 (2001). gr-qc/0102070
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Aldrovandi, R., Pereira, J.G. (2013). Duality Symmetry. In: Teleparallel Gravity. Fundamental Theories of Physics, vol 173. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5143-9_15
Download citation
DOI: https://doi.org/10.1007/978-94-007-5143-9_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-5142-2
Online ISBN: 978-94-007-5143-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)