Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Torsional Newton Cartan gravity from non-relativistic strings   We study propagation of closed bosonic strings in torsional Newton-Cartan
geometry based on a recently proposed Polyakov type action derived by
dimensional reduction of the ordinary bosonic string along a null direction. We
generalize the Polyakov action proposal to include matter, i.e. the 2-form and
the 1-form that originates from the Kalb-Ramond field and the dilaton. We
determine the conditions for Weyl invariance which we express as the
beta-function equations on the worldsheet, in analogy with the usual case of
strings propagating on a pseudo-Riemannian manifold. The critical dimension of
the TNC space-time turns out to be 25. We find that Newton's law of gravitation
follows from the requirement of quantum Weyl invariance in the absence of
torsion. Presence of the 1-form requires torsion to be non vanishing. Torsion
has interesting consequences, in particular it yields a mass term and an
advection term in the generalized Newton's law. U(1) mass invariance of the
theory is an important ingredient in deriving the beta functions.

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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat