In this paper, we study the overlaps of wavefunctionals prepared by turning on sources in the Euclidean path integral. For nearby states, these overlaps give rise to a Kähler structure on the space of sources, which is naturally induced by the Fubini–Study metric. The Kähler form obtained this way can also be thought of as a Berry curvature and, for holographic field theories, we show that it is identical to the gravitational symplectic form in the bulk. We discuss some possible applications of this observation, in particular a boundary prescription to calculate the variation of the volume of a maximal slice.

Belin, A., Lewkowycz, A., Sarosi, G. (2019). The boundary dual of the bulk symplectic form. PHYSICS LETTERS. SECTION B, 789, 71-75 [10.1016/j.physletb.2018.10.071].

The boundary dual of the bulk symplectic form

Belin A;
2019

Abstract

In this paper, we study the overlaps of wavefunctionals prepared by turning on sources in the Euclidean path integral. For nearby states, these overlaps give rise to a Kähler structure on the space of sources, which is naturally induced by the Fubini–Study metric. The Kähler form obtained this way can also be thought of as a Berry curvature and, for holographic field theories, we show that it is identical to the gravitational symplectic form in the bulk. We discuss some possible applications of this observation, in particular a boundary prescription to calculate the variation of the volume of a maximal slice.
Articolo in rivista - Articolo scientifico
AdS/CFT
English
6-dic-2018
2019
789
71
75
open
Belin, A., Lewkowycz, A., Sarosi, G. (2019). The boundary dual of the bulk symplectic form. PHYSICS LETTERS. SECTION B, 789, 71-75 [10.1016/j.physletb.2018.10.071].
File in questo prodotto:
File Dimensione Formato  
Belin-2019-Phys Lett B-VoR.pdf

accesso aperto

Descrizione: Short communication
Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Dimensione 278.78 kB
Formato Adobe PDF
278.78 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/10281/396369
Citazioni
  • Scopus 53
  • ???jsp.display-item.citation.isi??? 49
Social impact