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• W131150735 abstract "We consider the problem of coupling Galilean-invariant quantum field theories to a fixed spacetime. We propose that to do so, one couples to Newton-Cartan geometry and in addition imposes a one-form shift symmetry. This additional symmetry imposes invariance under Galilean boosts, and its Ward identity equates particle number and momentum currents. We show that Newton-Cartan geometry subject to the shift symmetry arises in null reductions of Lorentzian manifolds, and so our proposal is realized for theories which are holographically dual to quantum gravity on Schrödinger spacetimes. We use this null reduction to efficiently form tensorial invariants under the boost and particle number symmetries. We also explore the coupling of Schrödinger-invariant field theories to spacetime, which we argue necessitates the Newton-Cartan analogue of Weyl invariance." @default.
• W131150735 created "2016-06-24" @default.
• W131150735 creator A5008523723 @default.
• W131150735 date "2018-07-27" @default.
• W131150735 modified "2023-10-05" @default.
• W131150735 title "On the coupling of Galilean-invariant field theories to curved spacetime" @default.
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• W131150735 doi "https://doi.org/10.21468/scipostphys.5.1.011" @default.
• W131150735 hasPublicationYear "2018" @default.
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