Doctoral Committee Review Talk
11 am - 12 noon, Lecture Hall 2
Einstein's Equations from Entanglement Thermodynamics
Pratik Roy
Chennai Mathematical Institute.
25-04-18

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Abstract

It is known that linearized Einstein equation around pure AdS can be obtained from the constraint ∆S = ∆H, known as the first law of entanglement, on the boundary CFT. The corresponding dual state in the boundary CFT is the vacuum state around which the linear perturbation is taken. We revisit this question, in the context of AdS_3 /CFT_2, with the boundary CFT_2 in a thermal state. The corresponding dual geometry is a planar BTZ black hole. By considering the linearized perturbation around the black brane, we show that Einstein’s equation follows from the first law of entanglement.