Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometrizing non-relativistic bilinear deformations   We define three fundamental solvable bilinear deformations for any massive
non-relativistic 2d quantum field theory (QFT). They include the
$\mathrm{T}\overline{\mathrm{T}}$ deformation and the recently introduced hard
rod deformation. We show that all three deformations can be interpreted as
coupling the non-relativistic QFT to a specific Newton-Cartan geometry, similar
to the Jackiw-Teitelboim-like gravity in the relativistic case. Using the
gravity formulations, we derive closed-form deformed classical Lagrangians of
the Schr\"odinger model with a generic potential. We also extend the dynamical
change of coordinate interpretation to the non-relativistic case for all three
deformations. The dynamical coordinates are then used to derive the deformed
classical Lagrangians and deformed quantum S-matrices.

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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci