Holographic entanglement entropy and the internal space
- Univ. of Washington, Seattle, WA (United States)
We elaborate on the role of extremal surfaces probing the internal space in AdS/CFT. Extremal surfaces in AdS quantify the "geometric" entanglement between different regions in physical space for the dual CFT. This, however, is just one of many ways to split a given system into subsectors, and extremal surfaces in the internal space should similarly quantify entanglement between subsectors of the theory. For the case of AdS5×S5, their area was interpreted as entanglement entropy between U(n) and U(m) subsectors of U(n+m) $N=4$ SYM. Making this proposal precise is subtle for a number of reasons, the most obvious being that from the bulk one usually has access to gauge-invariant quantities only, while a split into subgroups is inherently gauge variant. We study $N=4$ SYM on the Coulomb branch, where some of the issues can be mitigated and the proposal can be sharpened. Continuing back to the original AdS5×S5 geometry, we obtain a modified proposal, based on the relation of the internal space to the R-symmetry group.
- Research Organization:
- Univ. of Washington, Seattle, WA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- Grant/Contract Number:
- SC0011637
- OSTI ID:
- 1595205
- Alternate ID(s):
- OSTI ID: 1179321
- Journal Information:
- Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 91, Issue 8; ISSN 1550-7998
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
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