Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in
  Various Dimensions   We consider type II superstrings on AdS backgrounds with Ramond-Ramond flux
in various dimensions. We realize the backgrounds as supercosets and analyze
explicitly two classes of models: non-critical superstrings on AdS_{2d} and
critical superstrings on AdS_p\times S^p\times CY. We work both in the
Green--Schwarz and in the pure spinor formalisms. We construct a one-parameter
family of flat currents (a Lax connection) leading to an infinite number of
conserved non-local charges, which imply the classical integrability of both
sigma-models. In the pure spinor formulation, we use the BRST symmetry to prove
the quantum integrability of the sigma-model. We discuss how classical
\kappa-symmetry implies one-loop conformal invariance. We consider the addition
of space-filling D-branes to the pure spinor formalism.

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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: eess