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

Dibakar Roychowdhury
(
- IIT, Roorkee
)

Feb 15, 2025

20 pages

e-Print:

2502.10797 [hep-th]

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Abstract: (arXiv)

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

\mathcal{N}=2

matrix models with massive deformations. These are dual to non-Abelian T-dual of

AdS_5 \times S^5

that asymptotes to \emph{smeared} D0 branes. The second example, that we consider is of

\mathcal{N}=4

superconformal quantum mechanical quivers in (

0+1

)d that are dual to a class of type IIB backgrounds with an

AdS_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.

Note:

Latex, 20 pages

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

Citations per year

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