Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On T-Duality and Integrability for Strings on AdS Backgrounds   We discuss an interplay between T-duality and integrability for certain
classical non-linear sigma models. In particular, we consider strings on the
AdS_5 x S^5 background and perform T-duality along the four isometry directions
of AdS_5 in the Poincare patch. The T-dual of the AdS_5 sigma model is again a
sigma model on an AdS_5 space. This classical T-duality relation was used in
the recently uncovered connection between light-like Wilson loops and MHV gluon
scattering amplitudes in the strong coupling limit of the AdS/CFT duality. We
show that the explicit coordinate dependence along the T-duality directions of
the associated Lax connection (flat current) can be eliminated by means of a
field dependent gauge transformation. As a result, the gauge equivalent Lax
connection can easily be T-dualized, i.e. written in terms of the dual set of
isometric coordinates. The T-dual Lax connection can be used for the derivation
of infinitely many conserved charges in the T-dual model. Our construction
implies that local (Noether) charges of the original model are mapped to
non-local charges of the T-dual model and vice versa.

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The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph