Séminaire de Physique Théorique

"CA" or "CV"
Dongsheng Ge (LPTENS)
Thursday 24 January 2019 14:00 -  Tours -  Salle 1180 (Bât E2)

Résumé :
In this work, we explore the two holographic complexity proposals for the case of a 2d interface CFT with a conformal defect. Focusing on a Randall-Sundrum type model of a thin AdS$_2$ brane embedded in AdS$_3$, we find that, using the ``complexity=volume" proposal, the defect generates a logarithmic divergence for the full boundary state complexity with a coefficient related to the boundary entropy. On the contrary, the ``complexity=action" proposal is not influenced by the presence of the defect. This is the first case in which the results of the two holographic proposals differ significantly. The complexity of the reduced density matrix for subregions containing the defect has been considered as well. For the boundary field theory part, several defect free field theory models of a compact boson have been explored in the context of field theory complexity. We point out that in this case, current definitions of free field theory complexity would have to be generalized to account for the effect of zero-modes. The talk is based on the paper arXiv:1811.12549.

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