Abstract
We consider the quantum mechanics of an even number of space indexed hermitian matrices. Upon complexification, we show that a closed subsector naturally parametrized by a matrix valued radial coordinate has a description in terms of non interacting s-state “radial fermions” with an emergent De Alfaro, Fubini and Furlan type potential, present only for two or more complex matrices. The concomitant AdS 2 symmetry is identified.The large N description in terms of the density of radial eigenvalues is also described.
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ArXiv ePrint: 1509.06719
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Masuku, M., Rodrigues, J.P. De Alfaro, Fubini and Furlan from multi matrix systems. J. High Energ. Phys. 2015, 1–15 (2015). https://doi.org/10.1007/JHEP12(2015)175
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DOI: https://doi.org/10.1007/JHEP12(2015)175