The holographic complexity of formation for the AdS(3) 2-sided Randall-Sundrum model and the AdS(3)/BCFT2 models is logarithmically divergent according to the volume conjecture, while it is finite using the action proposal. One might be tempted to conclude that the UV divergences of the volume and action conjectures are always different for defects and boundaries in two-dimensional conformal field theories. We show that this is not the case. In fact, in Janus AdS(3) we find that both volume and action proposals provide the same kind of logarithmic divergences.
Auzzi, R., Baiguera, S., Bonansea, S., Nardelli, G., Action complexity in the presence of defects and boundaries, <<JOURNAL OF HIGH ENERGY PHYSICS>>, 2022; (02): 0-46. [doi:10.1007/JHEP02(2022)118] [http://hdl.handle.net/10807/201518]
Action complexity in the presence of defects and boundaries
Auzzi, Roberto;Nardelli, Giuseppe
2022
Abstract
The holographic complexity of formation for the AdS(3) 2-sided Randall-Sundrum model and the AdS(3)/BCFT2 models is logarithmically divergent according to the volume conjecture, while it is finite using the action proposal. One might be tempted to conclude that the UV divergences of the volume and action conjectures are always different for defects and boundaries in two-dimensional conformal field theories. We show that this is not the case. In fact, in Janus AdS(3) we find that both volume and action proposals provide the same kind of logarithmic divergences.
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