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We reveal elegant relations between the shape dependence of the Casimir effects and Weyl anomaly in boundary conformal field theories (BCFT).
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Note that in [ 18 ] we find b 2 b_{2} and b 4 b_{4} of [ 16 ] vanish for bulk solution that can be FG expanded. Here we clarify that b 2 b_{2} and b 4 b_{4} of [ 16 ] can be non-zero in general if one employ the new background ( 20
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J. L. Cardy, hep-th/0411189
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