Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relative Defects in Relative Theories: Trapped Higher-Form Symmetries
  and Irregular Punctures in Class S   A relative theory is a boundary condition of a higher-dimensional topological
quantum field theory (TQFT), and carries a non-trivial defect group formed by
mutually non-local defects living in the relative theory. Prime examples are 6d
N=(2,0) theories that are boundary conditions of 7d TQFTs, with the defect
group arising from surface defects. In this paper, we study codimension-two
defects in 6d N=(2,0) theories, and find that the line defects living inside
these codimension-two defects are mutually non-local and hence also form a
defect group. Thus, codimension-two defects in a 6d N=(2,0) theory are relative
defects living inside a relative theory. These relative defects provide
boundary conditions for topological defects of the 7d bulk TQFT. A
codimension-two defect carrying a non-trivial defect group acts as an irregular
puncture when used in the construction of 4d N=2 Class S theories. The defect
group associated to such an irregular puncture provides extra "trapped"
contributions to the 1-form symmetries of the resulting Class S theories. We
determine the defect groups associated to large classes of both conformal and
non-conformal irregular punctures. Along the way, we discover many new classes
of irregular punctures. A key role in the analysis of defect groups is played
by two different geometric descriptions of the punctures in Type IIB string
theory: one provided by isolated hypersurface singularities in Calabi-Yau
threefolds, and the other provided by ALE fibrations with monodromies.

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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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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: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
10
The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: physics