Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Field Theory on Newton-Cartan Backgrounds and Symmetries of the Lifshitz
  Vacuum   Holography for Lifshitz space-times corresponds to dual field theories on a
fixed torsional Newton-Cartan (TNC) background. We examine the coupling of
non-relativistic field theories to TNC backgrounds and uncover a novel
mechanism by which a global U(1) can become local. This involves the TNC vector
$M_\mu$ which sources a particle number current, and which for flat NC
space-time satisfies $M_{\mu}=\partial_{\mu}M$ with a Schroedinger symmetry
realized on $M$. We discuss various toy model field theories on flat NC
space-time for which the new mechanism leads to extra global space-time
symmetries beyond the generic Lifshitz symmetry, allowing for an enhancement to
Schroedinger symmetry. On the holographic side, the source $M$ also appears in
the Lifshitz vacuum with exactly the same properties as for flat NC space-time.
In particular, the bulk diffeomorphisms that preserve the boundary conditions
realize a Schroedinger algebra on $M$, allowing for a conserved particle number
current. Finally, we present a probe action for a complex scalar field on the
Lifshitz vacuum, which exhibits Schroedinger invariance in the same manner as
seen in the field theory models.

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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: math
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: physics