Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exceptional Super Yang-Mills in $D=27+3$ and Worldvolume M-Theory   Bars and Sezgin have proposed a super Yang-Mills theory in $D=s+t=11+3$
space-time dimensions with an electric 3-brane that generalizes the 2-brane of
M-theory. More recently, the authors found an infinite family of exceptional
super Yang-Mills theories in $D=(8n+3)+3$ via the so-called Magic Star
algebras. A particularly interesting case occurs in signature $D=27+3$, where
the superalgebra is centrally extended by an electric 11-brane and its 15-brane
magnetic dual. The worldvolume symmetry of the 11-brane has signature $D=11+3$
and can reproduce super Yang-Mills theory in $D=11+3$. Upon reduction to
$D=26+2$, the 11-brane reduces to a 10-brane with $10+2$ worldvolume signature.
A single time projection gives a $10+1$ worldvolume signature and can serve as
a model for $D=10+1$ M-theory as a reduction from the $D=26+1$ signature of the
bosonic M-theory of Horowitz and Susskind; this is further confirmed by the
reduction of chiral $(1,0)$, $D=11+3$ superalgebra to the $\mathcal{N}=1$
superalgebra in $D=10+1$, as found by Rudychev, Sezgin and Sundell some time
ago. Extending previous results of Dijkgraaf, Verlinde and Verlinde, we also
put forward the realization of spinors as total cohomologies of (the largest
spatially extended) branes which centrally extend the $(1,0)$ superalgebra
underlying the corresponding exceptional super Yang-Mills theory. Moreover, by
making use of an "anomalous" Dynkin embedding, we strengthen Ramond and Sati's
argument that M-theory has hidden Cayley plane fibers.

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The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an