We compute the ultraviolet divergences of holographic subregion complexity for theleft and right factors of the thermofield double state in warped AdS_3black holes, bothfor the action and the volume conjectures. Besides the linear divergences, which arealso present in the BTZ black hole, additional logarithmic divergences appear. For theaction conjecture, these log divergences are not affected by the arbitrarity in the lengthscale associated with the counterterm needed to ensure reparameterization invariance.We find that the subregion action complexity obeys the superadditivity property forthe thermofield double in warped AdS_3, independently from the action countertermcoefficient. We study the temperature dependence of subregion complexity at constantangular momentum and we find that it is correlated with the sign of the specific heat.

Auzzi, R., Baiguera, S., Mitra, A., Nardelli, G., Zenoni, N. (2019). Subsystem complexity in warped AdS. JOURNAL OF HIGH ENERGY PHYSICS, 2019(9) [10.1007/JHEP09(2019)114].

Subsystem complexity in warped AdS

Baiguera, S;
2019

Abstract

We compute the ultraviolet divergences of holographic subregion complexity for theleft and right factors of the thermofield double state in warped AdS_3black holes, bothfor the action and the volume conjectures. Besides the linear divergences, which arealso present in the BTZ black hole, additional logarithmic divergences appear. For theaction conjecture, these log divergences are not affected by the arbitrarity in the lengthscale associated with the counterterm needed to ensure reparameterization invariance.We find that the subregion action complexity obeys the superadditivity property forthe thermofield double in warped AdS_3, independently from the action countertermcoefficient. We study the temperature dependence of subregion complexity at constantangular momentum and we find that it is correlated with the sign of the specific heat.
Articolo in rivista - Articolo scientifico
warped AdS, complexity, subregion, subadditivity, specific heat
English
2019
2019
9
114
open
Auzzi, R., Baiguera, S., Mitra, A., Nardelli, G., Zenoni, N. (2019). Subsystem complexity in warped AdS. JOURNAL OF HIGH ENERGY PHYSICS, 2019(9) [10.1007/JHEP09(2019)114].
File in questo prodotto:
File Dimensione Formato  
9_Subsystem_complexity_in_warped_AdS.pdf

accesso aperto

Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Dimensione 790.32 kB
Formato Adobe PDF
790.32 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/240816
Citazioni
  • Scopus 16
  • ???jsp.display-item.citation.isi??? 16
Social impact