Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards Bootstrapping RG flows: Sine-Gordon in AdS   The boundary correlation functions for a Quantum Field Theory (QFT) in an
Anti-de Sitter (AdS) background can stay conformally covariant even if the bulk
theory undergoes a renormalization group (RG) flow. Studying such correlation
functions with the numerical conformal bootstrap leads to non-perturbative
constraints that must hold along the entire flow. In this paper we carry out
this analysis for the sine-Gordon RG flows in AdS$_2$, which start with a free
(compact) scalar in the UV and end with well-known massive integrable theories
that saturate many S-matrix bootstrap bounds. We numerically analyze the
correlation functions of both breathers and kinks and provide a detailed
comparison with perturbation theory near the UV fixed point. Our bounds are
often saturated to one or two orders in perturbation theory, as well as in the
flat-space limit, but not necessarily in between.

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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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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: alg-geom
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The categories of this paper are: nucl-th