Distance between Quantum States and Gauge-Gravity Duality - INSPIRE

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Distance between Quantum States and Gauge-Gravity Duality

Jul 27, 2015

5 pages

Published in:

Phys.Rev.Lett. 115 (2015) 26, 261602

Published: Dec 22, 2015

e-Print:

1507.07555 [hep-th]

DOI:

10.1103/PhysRevLett.115.261602

Report number:

YITP-15-62,
IPMU15-0119

View in:

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Abstract: (APS)

We study a quantum information metric (or fidelity susceptibility) in conformal field theories with respect to a small perturbation by a primary operator. We argue that its gravity dual is approximately given by a volume of maximal time slice in an anti–de Sitter spacetime when the perturbation is exactly marginal. We confirm our claim in several examples.

Note:

5 pages plus appendices, Revtex, 2 figures

11.25.Hf
11.25.Tq
04.60.Cf
gravitation: duality
space-time: anti-de Sitter
field theory: conformal
operator: primary
perturbation
susceptibility
AdS/CFT correspondence

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