期刊
PHYSICAL REVIEW D
卷 94, 期 10, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.94.105023
关键词
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资金
- ERC STG [639220]
- Marina Solvay fellowship
- advanced ERC grant Symmetries and Dualities in Gravity and M-theory of Marc Henneaux
- Danish National Research Foundation project New horizons in particle and condensed matter physics from black holes
- European Research Council (ERC) [639220] Funding Source: European Research Council (ERC)
We apply the Noether procedure for gauging space-time symmetries to theories with Galilean symmetries, analyzing both massless and massive (Bargmann) realizations. It is shown that at the linearized level the Noether procedure gives rise to (linearized) torsional Newton-Cartan geometry. In the case of Bargmann theories the Newton-Cartan form M-mu couples to the conserved mass current. We show that even in the case of theories with massless Galilean symmetries it is necessary to introduce the form M-mu and that it couples to a topological current. Further, we show that the Noether procedure naturally gives rise to a distinguished affine (Christoffel type) connection that is linear in M-mu and torsionful. As an application of these techniques we study the coupling of Galilean electrodynamics to TNC geometry at the linearized level.
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