Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spinor derivation of quasilocal mean curvature mass in General
  Relativity   A spinor derivation is presented for quasilocal mean-curvature mass of
spacelike 2-surfaces in General Relativity. The derivation is based on the
Sen-Witten spinor identity and involves the introduction of novel nonlinear
boundary conditions related to the Dirac current of the spinor at the 2-surface
and the tangential flux of a boundary Dirac operator, as well the use of a spin
basis adapted to the mean curvature frame of the 2-surface normal space. This
setting may provide an alternative approach to a positivity proof for
mean-curvature mass based on showing that Witten's equation admits a spinor
solution satisfying the proposed nonlinear boundary conditions.

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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
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: eess