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arxiv: 1509.02160 · v2 · submitted 2015-09-07 · ✦ hep-th · cond-mat.mes-hall· cond-mat.stat-mech· cond-mat.str-el

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A Constraint on Defect and Boundary Renormalization Group Flows

Kristan Jensen , Andy O'Bannon
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classification ✦ hep-th cond-mat.mes-hallcond-mat.stat-mechcond-mat.str-el
keywords defectboundaryconformalflowsgroupplanarrenormalizationanomaly
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A conformal field theory (CFT) in dimension $d\geq 3$ coupled to a planar, two-dimensional, conformal defect is characterized in part by a "central charge" $b$ that multiplies the Euler density in the defect's Weyl anomaly. For defect renormalization group flows, under which the bulk remains critical, we use reflection positivity to show that $b$ must decrease or remain constant from ultraviolet to infrared. Our result applies also to a CFT in $d=3$ flat space with a planar boundary.

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Cited by 2 Pith papers

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