Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chiral operators in two-dimensional (0,2) theories and a test of
  triality   In this paper we compute spaces of chiral operators in general
two-dimensional (0,2) nonlinear sigma models, both in theories twistable to the
A/2 or B/2 model, as well as in non-twistable theories, and apply them to check
recent duality conjectures. The fact that in a nonlinear sigma model, the Fock
vacuum can act as a section of a line bundle on the target space plays a
crucial role in our (0,2) computations, so we begin with a review of this
property. We also take this opportunity to show how even in (2,2) theories, the
Fock vacuum encodes in this way choices of target space spin structures, and
discuss how such choices enter the A and B model topological field theories. We
then compute chiral operators in general (0,2) nonlinear sigma models, and
apply them to test the recent Gadde-Gukov-Putrov triality proposal, which says
that certain triples of (0,2) GLSMs should RG flow to nontrivial IR fixed
points. We find that different UV theories in the same proposed universality
class do not necessarily have the same space of chiral operators -- but, the
mismatched operators do not contribute to elliptic genera and are in
non-integrable representations of the proposed IR affine symmetry groups,
suggesting that the mismatched states become massive along RG flow. We find
this state matching in examples not only of different geometric phases of the
same GLSMs, but also in phases of different GLSMs, indirectly verifying the
triality proposal, and giving a clean demonstration that (0,2) chiral rings are
not topologically protected. We also check proposals for enhanced IR affine E_6
symmetries in one such model, verifying that (matching) chiral states in phases
of corresponding GLSMs transform as 27s, 27^*s.

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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
0
The categories of this paper are: hep-ph
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The categories of this paper are: astro-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: plasm-ph