Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $T\bar{T}/J\bar{T}$-deformed WZW models from Chern-Simons AdS$_3$
  gravity with mixed boundary conditions   In this work we consider AdS$_3$ gravitational theory with certain mixed
boundary conditions at spatial infinity. Using the Chern-Simons formalism of
AdS$_3$ gravity, we find that these boundary conditions lead to non-trivial
boundary terms, which, in turn, produce exactly the spectrum of the
$T\bar{T}/J\bar{T}$-deformed CFTs. We then follow the procedure for
constructing asymptotic boundary dynamics of AdS$_3$ to derive the constrained
$T\bar{T}$-deformed WZW model from Chern-Simons gravity. The resulting theory
turns out to be the $T\bar{T}$-deformed Alekseev-Shatashvili action after
disentangling the constraints. Furthermore, by adding a $U(1)$ gauge field
associated to the current $J$, we obtain one type of the $J\bar T$-deformed WZW
model, and show that its action can be constructed from the gravity side. These
results provide a check on the correspondence between the
$T\bar{T}/J\bar{T}$-deformed CFTs and the deformations of boundary conditions
of AdS$_3$, the latter of which may be regarded as coordinate transformations.

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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: econ