Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $T\bar{T}$ Deformation of Stress-Tensor Correlators from Random Geometry   We study stress-tensor correlators in the $T\bar{T}$-deformed conformal field
theories in two dimensions. Using the random geometry approach to the
$T\bar{T}$ deformation, we develop a geometrical method to compute
stress-tensor correlators. More specifically, we derive the $T\bar{T}$
deformation to the Polyakov-Liouville conformal anomaly action and calculate
three and four-point correlators to the first-order in the $T\bar{T}$
deformation from the deformed Polyakov-Liouville action. The results are
checked against the standard conformal perturbation theory computation and we
further check consistency with the $T\bar{T}$-deformed operator product
expansions of the stress tensor. A salient feature of the $T\bar{T}$-deformed
stress-tensor correlators is a logarithmic correction that is absent in two and
three-point functions but starts appearing in a four-point function.

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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: nucl-th