Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Lax Operator for $d=2$ $N=2$ Supergravity   General relativity and supergravity become integrable systems after
dimensional reduction to two spacetime dimensions. This means the equations of
motion can be encoded in the flatness condition for a Lax operator. Nicolai and
Warner found Lax operators for dimensionally reduced supergravity. They gave
explicit formulas primarily for the case with $N=16$ supersymmetry in two
dimensions (which corresponds to $N=8$ supergravity in four dimensions). In
this note, we derive analogous results for the case with $N=2$ supersymmetry in
two dimensions (which corresponds to $N=1$ supergravity in four dimensions).
This is the simplest example of the general fact that supergravity becomes an
integrable system after dimensional reduction to two dimensions.

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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph