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arXiv · 1509.06719

De Alfaro, Fubini and Furlan from multi Matrix Systems

Mthokozisi Masuku·João P. Rodrigues
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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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Mthokozisi Masuku, João P. Rodrigues. 2015-10-20. De Alfaro, Fubini and Furlan from multi Matrix Systems. https://doi.org/10.1007/jhep12(2015)175

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