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SUMMARY:Timelike Entanglement First Law and Linearized Field Equations in 
 Higher Curvature Gravity
DTSTART;VALUE=DATE-TIME:20261108T063000Z
DTEND;VALUE=DATE-TIME:20261108T070000Z
DTSTAMP;VALUE=DATE-TIME:20261023T112126Z
UID:indico-contribution-2968@indico.itp.ac.cn
DESCRIPTION:Speakers: Jia-Rui Sun (Sun Yat-Sen University)\nWe investigate
  the timelike entanglement first law in holographic conformal field theori
 es whose bulk dual is Lovelock gravity. Using the double Wick rotation for
 mulation of timelike entanglement entropy together with the Jacobson-Myers
  entropy functional\, we compute the linear variation of holographic timel
 ike entanglement entropy for hyperbolic subregions. For cubic Lovelock gra
 vity\, we explicitly show that a single\, universal multiplicative renorma
 lization factor governs how higher curvature interactions enter the variat
 ions of both the entropy and the modular Hamiltonian\, leading to $\\Delta
  S=\\Delta\\langle H\\rangle$ for low-energy thermal excitations. We then 
 extend the analysis to Lovelock gravity of arbitrary order around the anti
 -de Sitter spacetime in the Fefferman-Graham gauge. For normalizable pertu
 rbations\, the variation of the Jacobson-Myers functional reduces to the E
 instein gravity's result multiplied by the same coupling-dependent factor 
 that renormalizes the effective Newtonian constant in the linearized field
  equations of Lovelock gravity. We further show that the boundary contribu
 tion vanishes in the conformal limit for the class of perturbations consid
 ered. Consequently\, the timelike entanglement first law is equivalent to 
 the linearized field equations of Lovelock gravity about the maximally sym
 metric background.\n\nhttps://indico.itp.ac.cn/event/417/contributions/296
 8/
LOCATION:
URL:https://indico.itp.ac.cn/event/417/contributions/2968/
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