Global aspects of conformal symmetry and the ANEC in dS and AdS

Rosso, Felipe

doi:10.1007/jhep03(2020)186

Title: Global aspects of conformal symmetry and the ANEC in dS and AdS

Journal Article · Mon Mar 30 00:00:00 EDT 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep03(2020)186· OSTI ID:1802239

Rosso, Felipe ^[1]

Univ. of Southern California, Los Angeles, CA (United States). Dept. of Physics and Astronomy

Starting from the averaged null energy condition (ANEC) in Minkowski we show that conformal symmetry implies the ANEC for a conformal field theory (CFT) in a de Sitter and anti-de Sitter background. A similar and novel bound is also obtained for a CFT in the Lorentzian cylinder. Using monotonicity of relative entropy, we rederive these results for dS and the cylinder. As a byproduct we obtain the vacuum modular Hamiltonian and entanglement entropy associated to null deformed regions of CFTs in (A)dS and the cylinder. A third derivation of the ANEC in dS is shown to follow from bulk causality in AdS/CFT. Finally, we use the Tomita-Takesaki theory to show that Rindler positivity of Minkowski correlators generalizes to conformal theories defined in dS and the cylinder.

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Research Organization:: Univ. of Southern California, Los Angeles, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0011687

OSTI ID:: 1802239

Journal Information:: Journal of High Energy Physics (Online), Vol. 2020, Issue 3; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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