Semantic Scholar Open Access 2015 32 sitasi

de Sitter space and extremal surfaces for spheres

K. Narayan

Abstrak

Abstract Following arXiv:1501.03019 [hep-th] , we study de Sitter space and spherical subregions on a constant boundary Euclidean time slice of the future boundary in the Poincare slicing. We show that as in that case, complex extremal surfaces exist here as well: for even boundary dimensions, we isolate the universal coefficient of the logarithmically divergent term in the area of these surfaces. There are parallels with analytic continuation of the Ryu–Takayanagi expressions for holographic entanglement entropy in AdS / CFT . We then study the free energy of the dual Euclidean CFT on a sphere holographically using the dS / CFT dictionary with a dual de Sitter space in global coordinates, and a classical approximation for the wavefunction of the universe. For even dimensions, we again isolate the coefficient of the logarithmically divergent term which is expected to be related to the conformal anomaly. We find agreement including numerical factors between these coefficients.

Topik & Kata Kunci

Penulis (1)

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K. Narayan

Format Sitasi

Narayan, K. (2015). de Sitter space and extremal surfaces for spheres. https://doi.org/10.1016/j.physletb.2015.12.019

Akses Cepat

Informasi Jurnal
Tahun Terbit
2015
Bahasa
en
Total Sitasi
32×
Sumber Database
Semantic Scholar
DOI
10.1016/j.physletb.2015.12.019
Akses
Open Access ✓