Splitting interfaces in 4d $$ \mathcal{N} $$ = 4 SYM

Journal Article · 10 December 2023 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep12(2023)053 · OSTI ID:2338302

Uhlemann, Christoph F. ^[1]; Wang, Mianqi  ^[2]

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1. University of Oxford (United Kingdom); University of Texas at Austin
2. University of Texas, Austin, TX (United States)

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 entangle- ment 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.

• Research Organization: University of Texas at Austin, TX (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP); Simons Foundation
• Grant/Contract Number: SC0022021
• OSTI ID: 2338302
• Journal Information: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 12 Vol. 2023; ISSN 1029-8479
• Publisher: Springer NatureCopyright Statement
• Country of Publication: United States
• Language: English