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Splitting interfaces in 4d $\mathcal N=4$ SYM
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abstract
We discuss entanglement entropies in 4d interface CFTs based on 4d $\mathcal N=4$ SYM coupled to 3d $\mathcal N=4$ degrees of freedom localized on an interface. Focusing on the entanglement between the two half spaces to either side of the interface, we show that applying the Ryu-Takayanagi prescription in general leads to multiple natural entanglement entropies. We interpret the different entropies as corresponding to different ways of assigning the 3d degrees of freedom localized on the interface to the two half spaces. We contrast these findings with recent discussions of universal relations for entanglement entropies in 2d interface CFTs and formulate generalized relations for 4d interface CFTs which incorporate our results.
Forward citations
Cited by 2 Pith papers
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Defect entanglement entropy for superconformal RG Interfaces
A holographic computation of the defect entanglement entropy for superconformal RG interfaces between N=4 SYM and the Leigh-Strassler SCFT, finding a mass-squared scaling at large deformation and a relation between C^...
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Entanglement C-functions of defects and interfaces in $\mathcal{N}=4$ supersymmetric Yang-Mills theory
A probe-D5 holographic calculation gives analytic defect/interface entanglement entropy for massive D3/D5 intersections and shows the entropic C-function is monotonic but not always a finite degree-of-freedom count.
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