Complexity-action of subregions with corners

Understand

In the past, the study of the divergence structure of the holographic entanglement entropy on singular boundary regions uncovered cut-off independent coefficients.

• These coefficients were shown to be universal and to encode important field theory data.
• Inspired by these lessons we study the UV divergences of subregion complexity-action (CA) in a region with corner (kink).
• We develop a systematic approach to study all the divergence structures, and we emphasize that the counter term that restores reparameterization invariance on the null boundaries plays a crucial role in simplifying the results and rendering them more transparent.