Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A lattice non-perturbative definition of an SO(10) chiral gauge theory
  and its induced standard model   The standard model is a chiral gauge theory where the gauge fields couple to
the right-hand and the left-hand fermions differently. The standard model is
defined perturbatively and describes all elementary particles (except
gravitons) very well. However, for a long time, we do not know if we can have a
non-perturbative definition of standard model as a Hamiltonian quantum
mechanical theory. In this paper, we propose a way to give a modified standard
model (with 48 two-component Weyl fermions) a non-perturbative definition by
embedding the modified standard model into a SO(10) chiral gauge theory and
then putting the SO(10) chiral gauge theory on a 3D spatial lattice with a
continuous time. Such a non-perturbatively defined standard model is a
Hamiltonian quantum theory with a finite-dimensional Hilbert space for a finite
space volume. Using the defining connection between gauge anomalies and the
symmetry-protected topological orders, we show that any chiral gauge theory can
be non-perturbatively defined by putting it on a lattice in the same dimension,
as long as the chiral gauge theory is free of all anomalies.

9
The categories of this paper are: nlin
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: math
0
The categories of this paper are: hep-ph