Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Holography and Conformal Anomaly Matching   We discuss various issues related to the understanding of the conformal
anomaly matching in CFT from the dual holographic viewpoint. First, we act with
a PBH diffeomorphism on a generic 5D RG flow geometry and show that the
corresponding on-shell bulk action reproduces the Wess-Zumino term for the
dilaton of broken conformal symmetry, with the expected coefficient aUV-aIR.
Then we consider a specific 3D example of RG flow whose UV asymptotics is
normalizable and admits a 6D lifting. We promote a modulus \rho appearing in
the geometry to a function of boundary coordinates. In a 6D description {\rho}
is the scale of an SU(2) instanton. We determine the smooth deformed background
up to second order in the space-time derivatives of \rho and find that the 3D
on-shell action reproduces a boundary kinetic term for the massless field \tau=
log(\rho) with the correct coefficient \delta c=cUV-cIR. We further analyze the
linearized fluctuations around the deformed background geometry and compute the
one-point functions <T\mu\nu> and show that they are reproduced by a
Liouville-type action for the massless scalar \tau, with background charge due
to the coupling to the 2D curvature R. The resulting central charge matches
\delta c. We give an interpretation of this action in terms of the (4,0) SCFT
of the D1-D5 system in type I theory.

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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: math
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The categories of this paper are: hep-lat