Entanglement entropy and Fisher information metric for closed bosonic strings in homogeneous plane wave background

Dimov, H.; Mladenov, Stefan; Rashkov, R. C.; Vetsov, T.

doi:10.1103/physrevd.96.126004

Cited by 13 publications

(7 citation statements)

References 67 publications

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“…Two immediate observations are worth remarking upon. First, we see that the geometry corresponding to a free theory is clearly not flat, contrary to some claims in the literature that non-interacting theories have vanishing Ricci scalar [42,48]; we shall return to this issue when we discuss connections in section 8. Second, we note that the map between the Gaussian and the hyperbolic Fisher metric is achieved without any reference to the dynamics leading to this particular metric on the gravity side, and in this sense falls short of the original AdS/CFT correspondence.…”

Section: Simple Example: Ads 2 From a Gaussianmentioning

confidence: 69%

Information geometry in quantum field theory: lessons from simple examples

2020

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Motivated by the increasing connections between information theory and high-energy physics, particularly in the context of the AdS/CFT correspondence, we explore the information geometry associated to a variety of simple systems. By studying their Fisher metrics, we derive some general lessons that may have important implications for the application of information geometry in holography. We begin by demonstrating that the symmetries of the physical theory under study play a strong role in the resulting geometry, and that the appearance of an AdS metric is a relatively general feature. We then investigate what information the Fisher metric retains about the physics of the underlying theory by studying the geometry for both the classical 2d Ising model and the corresponding 1d free fermion theory, and find that the curvature diverges precisely at the phase transition on both sides. We discuss the differences that result from placing a metric on the space of theories vs.~states, using the example of coherent free fermion states. We compare the latter to the metric on the space of coherent free boson states and show that in both cases the metric is determined by the symmetries of the corresponding density matrix. We also clarify some misconceptions in the literature pertaining to different notions of flatness associated to metric and non-metric connections, with implications for how one interprets the curvature of the geometry. Our results indicate that in general, caution is needed when connecting the AdS geometry arising from certain models with the AdS/CFT correspondence, and seek to provide a useful collection of guidelines for future progress in this exciting area.

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Section: Simple Example: Ads 2 From a Gaussianmentioning

confidence: 69%

Information geometry in quantum field theory: lessons from simple examples

2020

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“…Here, we apply the casual version [38] , where both quantifiers are calculated for Bandt & Pompe method. It has been successfully used many applications of data analysis such as Physics [39] , [40] , [41] , Finance [42] , and Biomedical [43] .…”

Section: Methodsmentioning

confidence: 99%

Predictability of COVID-19 worldwide lethality using permutation-information theory quantifiers

Fernandes¹,

Araujo²,

Silva³

et al. 2021

Results in Physics

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This paper examines the predictability of COVID-19 worldwide lethality considering 43 countries. Based on the values inherent to Permutation entropy ( ) and Fisher information measure ( ), we apply the Shannon-Fisher causality plane (SFCP), which allows us to quantify the disorder an evaluate randomness present in the time series of daily death cases related to COVID-19 in each country. We also use Hs and Fs to rank the COVID-19 lethality in these countries based on the complexity hierarchy. Our results suggest that the most proactive countries implemented measures such as facemasks, social distancing, quarantine, massive population testing, and hygienic (sanitary) orientations to limit the impacts of COVID-19, which implied lower entropy (higher predictability) to the COVID-19 lethality. In contrast, the most reactive countries implementing these measures depicted higher entropy (lower predictability) to the COVID-19 lethality. Given this, our findings shed light that these preventive measures are efficient to combat the COVID-19 lethality.

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“…These modes can be related to the fourth order Pais-Uhlenbeck oscillator as in the case of the Pilch-Warner background [34]. The equations involving X 5 and X 6 can be combined into a single complex differential equation.…”

Section: Quantization Of Closed Strings Propagating In the Pp-wave Gementioning

confidence: 99%

The non-Abelian T-dual of Klebanov-Witten background and its Penrose limits

Roychowdhury

Tripathy

2019

J. High Energ. Phys.

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In this paper we consider both Abelian as well as non-Abelian T-duals of the Klebanov-Witten background and inspect their various Penrose limits. We show that these backgrounds admit pp-wave solutions in the neighbourhood of appropriate null geodesics. We study the quantization of closed string propagating on some of the resulting pp-wave backgrounds. We consider the field theory duals for these geometries and compute the respective holographic central charges.

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Entanglement entropy and Fisher information metric for closed bosonic strings in homogeneous plane wave background

Cited by 13 publications

References 67 publications

Information geometry in quantum field theory: lessons from simple examples

Information geometry in quantum field theory: lessons from simple examples

Predictability of COVID-19 worldwide lethality using permutation-information theory quantifiers

The non-Abelian T-dual of Klebanov-Witten background and its Penrose limits

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