Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anomaly Inflow and Holography   We systematically study the anomaly inflow by the bulk Chern-Simons (CS)
theory in a slice of five-dimensional anti-de Sitter spacetime
($\text{AdS}_5$). The introduction of UV and IR 3-branes makes the anomaly
story remarkably rich and many interesting aspects can be obtained, including
weakly gauging and spontaneous symmetry breaking of the global symmetries of
the dual 4D CFT. Our main contribution is to provide a unified and
comprehensive discussion of the subject, together with a detailed description
of the dual CFT picture for each case. Employing a gauge-fixed effective action
suitable for a holographic study, we reproduce many known results in the
literature, such as 't Hooft anomaly matching for unbroken symmetry (Neumann
IR-BC) and (gauged) Wess-Zumino-Witten (WZW) action for broken symmetry (IR-BC
breaks the bulk group $G \to H$). In addition, we show that anomaly matching
occurs for ABJ anomalies as well as 't Hooft anomalies, which suggests
anomalies inflowed from the bulk CS theory are necessarily free of mixed
anomalies with the confining gauge force of the 4D dual CFT. In the case of
broken symmetry, we prove that the "would-be" Goldstone bosons associated with
the weakly gauged symmetry are completely removed by a proper field
redefinition, provided the anomaly from the bulk is exactly cancelled by the
boundary contribution, hence confirming the standard expectation. Moreover, we
present a holographic formulation of Witten's argument for the quantization
condition for the WZW action, and argue in favor of an alternative way to
obtain the same condition using a "deformed" theory (different BCs). We work
out several examples, including a product group with mixed anomaly, and
identify the corresponding dual CFT picture. We consider a fully general case
typically arising in the context of dynamical electroweak symmetry breaking.

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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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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: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: math
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The categories of this paper are: hep-lat