Multiway AdS junctions dualize to factorized quantum maps on CFT interfaces, with scattering matrix fixed by junction tension and automorphisms from n-1 stringy modes, independent of background state.
Decoding the string in terms of holographic quantum maps
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abstract
It has recently been shown that the Nambu-Goto equation for a string emerges from the junction conditions in three-dimensional gravity. Holographically, gravitational junctions are dual to interfaces in conformal field theory. We demonstrate at the level of linearized gravitational perturbations that each stringy mode of the junction corresponds to a $\mathcal{H}_{in}\rightarrow \mathcal{H}_{out}$ quantum map which can be factorized into a scattering matrix involving reflection/transmission and a relative automorphism of the Virasoro algebra, and also a $\mathcal{H}_{L}\rightarrow \mathcal{H}_{R}$ map of similar nature. These maps preserve the conformal boundary condition, are independent of the background conformal frame, as in the case of conformal interfaces studied in the literature, and realize a tunable energy transmitter.
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n-way junctions in 3D gravity correspond to n-1 coupled Nambu-Goto strings with Monge-Ampère sources whose degrees of freedom survive the tensionless limit, implying matter-like behavior from pure gravity and perfect reflection of wavepackets in the dual CFT.
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Decoding multiway gravitational junctions in AdS in terms of holographic quantum maps
Multiway AdS junctions dualize to factorized quantum maps on CFT interfaces, with scattering matrix fixed by junction tension and automorphisms from n-1 stringy modes, independent of background state.
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The degrees of freedom of multiway junctions in three dimensional gravity
n-way junctions in 3D gravity correspond to n-1 coupled Nambu-Goto strings with Monge-Ampère sources whose degrees of freedom survive the tensionless limit, implying matter-like behavior from pure gravity and perfect reflection of wavepackets in the dual CFT.