Classical probes for 1/16 SUSY operators
Matan Field
TL;DR
This paper investigates 1/16 SUSY solutions in AdS/CFT, analyzing particle trajectories in black hole backgrounds to connect gravity solutions with specific operators in the dual CFT, revealing sensitivity to the Fermi-level.
Contribution
It provides a detailed analysis of particle trajectories in 1/16 SUSY black hole backgrounds, linking gravitational dynamics to the Fermi-level of dual CFT operators.
Findings
Particle trajectories are sensitive to the Fermi-level of the CFT operator.
The analysis bridges gravity solutions with specific features of dual operators.
Insights into the structure of 1/16 SUSY states in AdS/CFT.
Abstract
We consider 1/16 SUSY solutions in AdS/CFT. On the gravity side, Gutowski and Reall showed them to be charged, rotating black holes in AdS. On the CFT side, an initial construction for 1/16 SUSY operators in N=4 SYM has been suggested by Berkooz et al., with a Fermi-sea operator describing the extremal state. In this work we analyze particle trajectories in the 1/16 SUSY black hole background, and show the analysis to be sensitive to the Fermi-level of the operator in the CFT.
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Taxonomy
TopicsNumerical methods in inverse problems · Black Holes and Theoretical Physics · Spectral Theory in Mathematical Physics