Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Six-dimensional Origin of $\mathcal{N}=4$ SYM with Duality Defects   We study the topologically twisted compactification of the 6d $(2,0)$
M5-brane theory on an elliptically fibered K\"ahler three-fold preserving two
supercharges. We show that upon reducing on the elliptic fiber, the 4d theory
is $\mathcal{N}=4$ Super-Yang Mills, with varying complexified coupling $\tau$,
in the presence of defects. For abelian gauge group this agrees with the
so-called duality twisted theory, and we determine a non-abelian generalization
to $U(N)$. When the elliptic fibration is singular, the 4d theory contains 3d
walls (along the branch-cuts of $\tau$) and 2d surface defects, around which
the 4d theory undergoes $SL(2,\mathbb{Z})$ duality transformations. Such
duality defects carry chiral fields, which from the 6d point of view arise as
modes of the two-form $B$ in the tensor multiplet. Each duality defect has a
flavor symmetry associated to it, which is encoded in the structure of the
singular elliptic fiber above the defect. Generically 2d surface defects will
intersect in points in 4d, where there is an enhanced flavor symmetry. The 6d
point of view provides a complete characterization of this 4d-3d-2d-0d
`Matroshka'-defect configuration.

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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an