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arXiv · 1910.00526

On subregion action complexity in AdS$_3$ and in the BTZ black hole

Roberto Auzzi·Stefano Baiguera·Andrea Legramandi·Giuseppe Nardelli·Pratim Roy·Nicolo Zenoni
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Abstract

We analytically compute subsystem action complexity for a segment in the BTZ black hole background up to the finite term, and we find that it is equal to the sum of a linearly divergent term proportional to the size of the subregion and of a term proportional to the entanglement entropy. This elegant structure does not survive to more complicated geometries: in the case of a two segments subregion in AdS$_3$, complexity has additional finite contributions. We give analytic results for the mutual action complexity of a two segments subregion.

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Roberto Auzzi, Stefano Baiguera, Andrea Legramandi, Giuseppe Nardelli, Pratim Roy, Nicolo Zenoni. 2019-10-01. On subregion action complexity in AdS$_3$ and in the BTZ black hole. https://doi.org/10.1007/jhep01(2020)066

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