Внезапное Нарушение Конформной Симметрии Голографическими Сталкивающимися Дефектами

Агеев, Дмитрий Сергеевич; Арефьева, Ирина Ярославна; Aref’eva, I. Ya.

doi:10.4213/tmf9086

TMF

2016

DOI: 10.4213/tmf9086

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Внезапное Нарушение Конформной Симметрии Голографическими Сталкивающимися Дефектами

Дмитрий Сергеевич Агеев¹,

Ирина Ярославна Арефьева²,

I. Ya. Aref’eva³

Abstract: ВНЕЗАПНОЕ НАРУШЕНИЕ КОНФОРМНОЙ СИММЕТРИИ ГОЛОГРАФИЧЕСКИМИ СТАЛКИВАЮЩИМИСЯ ДЕФЕКТАМИ Внезапное нарушение конформной симметрии изучается как голографический эффект от ультрарелятивистской частицы, которая движется в пространстве AdS3. Дано качественное описание этого эффекта на основе вычисления двухточечной корреляционной функции и энтропии запутанности соответствующей теории на границе пространства. Показано, что в рамках геодезического приближения безмассовый ультрарелятивистский дефект приводит к зонной стру… Show more

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Cited by 2 publications

References 19 publications

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Holographic complexity of local quench at finite temperature

Ageev

2019

Phys. Rev. D

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This paper is devoted to the study of the evolution of holographic complexity after a local perturbation of the system at finite temperature. We calculate the complexity using both the complexity=action(CA) and the complexity=volume(CA) conjectures and find that the CV complexity of the total state shows the unbounded late time linear growth. The CA computation shows linear growth with fast saturation to a constant value. We estimate the CV and CA complexity linear growth coefficients and show, that finite temperature leads to violation of the Lloyds bound for CA complexity. Also it is shown that for composite system after the local quench the state with minimal entanglement may correspond to the maximal complexity.

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Holographic complexity of local quench at finite temperature

Ageev

2019

Phys. Rev. D

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Entanglement Entropy after Double Excitation as an Interaction Measure

Kusuki

Miyaji

2020

Phys. Rev. Lett.

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We study entanglement entropy after a double local quench in two-dimensional conformal field theories (CFTs), with any central charge c > 1. In the holographic CFT, such a state with double-excitation is dual to an AdS space with two massive particles introduced from the boundary. We show that the growth after the double local excitations cannot be given by the sum of two local quenches but with an additional negative term. This negative contribution can be naturally interpreted as due to the attractive force of gravity. In CFT side, this evaluation of the entanglement entropy is accomplished by a special limit of 6-point functions, where we employed the fusion matrix approach for multi-point conformal blocks developed in arXiv:1905.02191.

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Внезапное Нарушение Конформной Симметрии Голографическими Сталкивающимися Дефектами

Cited by 2 publications

References 19 publications

Holographic complexity of local quench at finite temperature

Holographic complexity of local quench at finite temperature

Entanglement Entropy after Double Excitation as an Interaction Measure

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