Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universality for Shape Dependence of Casimir Effects from Weyl Anomaly   We reveal elegant relations between the shape dependence of the Casimir
effects and Weyl anomaly in boundary conformal field theories (BCFT). We show
that for any BCFT which has a description in terms of an effective action, the
near boundary divergent behavior of the renormalized stress tensor is
completely determined by the central charges of the theory. These relations are
verified by free BCFTs. We test them with holographic models of BCFT and find
exact agreement. We propose that these relations between Casimir coefficients
and central charges hold for any BCFT. With the holographic models, we
reproduce not only the precise form of the near boundary divergent behavior of
the stress tensor, but also the surface counter term that is needed to make the
total energy finite. As they are proportional to the central charges, the near
boundary divergence of the stress tensor must be physical and cannot be dropped
by further artificial renormalization.Our results thus provide affirmative
support on the physical nature of the divergent energy density near the
boundary, whose reality has been a long-standing controversy in the literature.

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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: funct-an
30
The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: math
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph