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3 August 2018 

"On the coupling of Galilean-invariant field theories to curved spacetime" by Kristan Jensen has received a Select label.



This study presents a novel way to solve the problem of coupling Galilean-invariant quantum field theories to a fixed spacetime, which is very important for the Quantum Field Theory applications to condensed matter systems. The author shows that Newton-Cartan geometry subject to the shift symmetry arises in null reductions of Lorentzian manifolds. Thus, his proposal is realized for theories which are holographically dual to quantum gravity on Schrodinger spacetimes. He uses this null reduction to efficiently form tensorial invariants under the boost and particle number symmetries. They also explore the coupling of Schrodinger-invariant field theories to spacetime, which would necessitate the Newton-Cartan analogue of Weyl invariance. The clear exposition and solution presented expands on previous work, providing many sanity checks and find a new way to relates his construction to null reductions of Lorentzian manifolds, which is conceptually important and of great help in relating these sorts of non-relativistic constructions to better understood physics on Lorentzian manifolds.

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