2016
DOI: 10.1007/jhep09(2016)059
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A holographic description of negative energy states

Abstract: Using the AdS/CFT duality, we study the expectation value of stress tensor in 2 + 1-dimensional quantum critical theories with a general dynamical scaling z, and explore various constrains on negative energy density for strongly coupled field theories. The holographic dual theory is the theory of gravity in 3+1-dimensional Lifshitz backgrounds. We adopt a consistent approach to obtain the boundary stress tensor from bulk construction, which satisfies the trace Ward identity associated with Lifshitz scaling sym… Show more

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Cited by 5 publications
(4 citation statements)
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“…We emphasize that these expressions hold for any holographic CFT and therefore suggest the following: the hyperbolic black holes at zero temperature provide a holographic description of a flat superposition of the modular vacua of the ground state of a CFT reduced to a ball (16). This is in line with the field theory discussion of Sec.…”
Section: Holography Of the Modular Vacuasupporting
confidence: 80%
See 1 more Smart Citation
“…We emphasize that these expressions hold for any holographic CFT and therefore suggest the following: the hyperbolic black holes at zero temperature provide a holographic description of a flat superposition of the modular vacua of the ground state of a CFT reduced to a ball (16). This is in line with the field theory discussion of Sec.…”
Section: Holography Of the Modular Vacuasupporting
confidence: 80%
“…In this paper, we focus on their holographic description (see Ref. [16] for previous work). To do so, we use quantum information theory techniques which have been previously shown to be very useful in the study of negative energy [17][18][19][20].…”
Section: Introductionmentioning
confidence: 99%
“…At present we are not certain as to what will work and what will not, 17 although perhaps investigating CFT states prepared by stress-tensor insertions, e.g. as in [32], or investigating DSNE expectation values in holographic descriptions of negative energy states described in [33] will provide a nontrivial first check. For now we will leave…”
Section: Interactionsmentioning
confidence: 99%
“…Previous works initializing the ideas on AdS and Lifshitz spacetime include [15,16,17,18,19]. While other relevant works include [20,21,22,23,24,25,26,27,28,29,30]. In the next section we will study the fluctuations and the energy loss of a moving heavy quark.…”
Section: Fluctuation and Dissipation In Holography: A Unified Approachmentioning
confidence: 99%