Complexity of Formation in Holography

by Shira Chapman

at Particles and Fields Seminar

Mon, 09 Jan 2017, 14:00
Physics building (#54) room 207

Abstract

It was recently conjectured that the quantum complexity of a holographic boundary state can be computed by evaluating the gravitational action on a bulk region known as the Wheeler DeWitt patch We apply this complexity action duality to evaluate the complexity of formation arXiv:1509 07876 arXiv:1512 04993 i e the additional complexity arising in preparing the entangled thermofield double state with two copies of the boundary CFT compared to preparing the individual vacuum states of the two copies We find that for boundary dimensions d gt 2 the difference in the complexities grows linearly with the thermal entropy at high temperatures For the special case d 2 the complexity of formation is a fixed constant independent of the temperature We compare these results to those found using the complexity volume duality

Created on 04-01-2017 by Bar Lev, Yevgeny (ybarlev)
Updaded on 04-01-2017 by Bar Lev, Yevgeny (ybarlev)