Holographic timelike entanglement and $c$ theorem for supersymmetric QFTs in ($ 0+1 $)d

Dibakar Roychowdhury

doi:10.1007/JHEP06(2025)003

paper

Holographic timelike entanglement and $c$ theorem for supersymmetric QFTs in ( $0 + 1$ )d

arXiv:2502.10797 · doi:10.1007/JHEP06(2025)003

Abstract

We present a holographic set up that computes timelike Entanglement Entropy (tEE) in $(0 + 1)$ d QFTs preserving some amount of SUSY. The first example we consider is that of $N = 2$ matrix models with massive deformations. These are dual to non-Abelian T-dual of $A d S_{5} \times S^{5}$ that asymptotes to \emph{smeared} D0 branes. The second example, that we consider is of $N = 4$ superconformal quantum mechanical quivers in ( $0 + 1$ )d that are dual to a class of type IIB backgrounds with an $A d S_{2}$ factor. In both of these examples, tEE reveals a remarkable similarity with holographic $c$ function pertaining to a RG flow. We further compute the complexity in these models, which also reveals an identical behaviour indicating the fact that tEE is a measure of number of degrees of freedom for these ( $0 + 1$ )d SQFTs in a RG flow from UV to deep IR.

v2, added figure and a footnote, Accepted in JHEP

Holographic timelike entanglement and c theorem for supersymmetric QFTs in (0+1)d

Abstract

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Holographic timelike entanglement and $c$ theorem for supersymmetric QFTs in ( $0 + 1$ )d