Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Defect (p,q) Five-branes   We study a local description of composite five-branes of codimension two. The
formulation is constructed by virtue of $SL(2,{\mathbb Z}) \times SL(2,{\mathbb
Z)}$ monodromy associated with two-torus. Applying conjugate monodromy
transformations to the complex structures of the two-torus, we obtain a field
configuration of a defect $(p,q)$ five-brane. This is a composite state of $p$
defect NS5-branes and $q$ exotic $5^2_2$-branes. We also obtain a new example
of hyper-K\"{a}hler geometry. This is an ALG space, a generalization of an ALF
space which asymptotically has a tri-holomorphic two-torus action. This
geometry appears in the conjugate configuration of a single defect KK5-brane.

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The categories of this paper are: nucl-th
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The categories of this paper are: math
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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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: cs
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn