Published January 1, 2018
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Tensor network and (p-adic) AdS/CFT
- 1. Fudan University
- 2. Institute of Theoretical Physics
- 3. Chinese Academy of Sciences
Description
We use the tensor network living on the Bruhat-Tits tree to give a concrete realization of the recently proposed $p$-adic AdS/CFT correspondence (a holographic duality based on the $p$-adic number field $\mathbb{Q}_p$). Instead of assuming the $p$-adic AdS/CFT correspondence, we show how important features of AdS/CFT such as the bulk operator reconstruction and the holographic computation of boundary correlators are automatically implemented in this tensor network.
Translated Descriptions
⚠️
This is an automatic machine translation with an accuracy of 90-95%
Translated Description (Arabic)
نستخدم شبكة TENSOR التي تعيش على شجرة Bruhat - Tits لإعطاء إدراك ملموس لمراسلات AdS/CFT $p$-adic المقترحة مؤخرًا (ازدواجية ثلاثية الأبعاد بناءً على حقل الرقم $p $- adic $\mathbb{Q}_p$). بدلاً من افتراض مراسلات AdS/CFT $p$-adic، نوضح كيف يتم تنفيذ الميزات المهمة لـ AdS/CFT مثل إعادة بناء مشغل السائبة والحساب المجسم لمرتبطات الحدود تلقائيًا في شبكة الموتر هذه.Translated Description (French)
Nous utilisons le réseau tenseur vivant sur l'arbre Bruhat-Tits pour donner une réalisation concrète de la correspondance AdS/CFT $p$-adique récemment proposée (une dualité holographique basée sur le champ de nombres $p $ -adiques $ \mathbb{Q}_p$ ). Au lieu de supposer la correspondance AdS/CFT $p$-adique, nous montrons comment des caractéristiques importantes d'AdS/CFT telles que la reconstruction d'opérateur en vrac et le calcul holographique de corrélateurs de frontières sont automatiquement mises en œuvre dans ce réseau de tenseurs.Translated Description (Spanish)
Utilizamos la red de tensores que vive en el árbol de Bruhat-Tits para dar una realización concreta de la correspondencia AdS/CFT $p$-ádica recientemente propuesta (una dualidad holográfica basada en el campo numérico $p $ -ádico $\mathbb{Q}_p$). En lugar de asumir la correspondencia $p$ -adic AdS/CFT, mostramos cómo las características importantes de AdS/CFT, como la reconstrucción del operador a granel y el cálculo holográfico de los correlacionadores de límites, se implementan automáticamente en esta red tensora.Files
JHEP01(2018)139.pdf.pdf
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Additional details
Additional titles
- Translated title (Arabic)
- شبكة الموتر و (p - adic) ADS/CFT
- Translated title (French)
- Réseau tenseur et AdS/CFT (p-adic)
- Translated title (Spanish)
- Red de tensores y AdS/CFT (p-ádico)
Identifiers
- Other
- https://openalex.org/W2601486110
- DOI
- 10.1007/jhep01(2018)139
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