Abstract
The D0 brane, or BFSS, matrix model is a quantum mechanical theory with an interesting gravity dual. We consider a variant of this model where we treat the SU(N) symmetry as a global symmetry, rather than as a gauge symmetry. This variant contains new non-singlet states. We consider the impact of these new states on its gravity dual. We argue that the gravity dual is essentially the same as the one for the original matrix model. The non-singlet states have higher energy at strong coupling and are therefore dynamically suppressed.
Highlights
Many examples of the holographic correspondence involve very strongly coupled large N gauge theories which are dual to a bulk Einstein gravity theory [1,2,3]
We consider a variant of this model where we treat the SU(N ) symmetry as a global symmetry, rather than as a gauge symmetry
We argue that the gravity dual is essentially the same as the one for the original matrix model
Summary
Many examples of the holographic correspondence involve very strongly coupled large N gauge theories which are dual to a bulk Einstein gravity theory [1,2,3]. We will argue that in the strongly coupled regime we have essentially the same gravity dual description as for the gauged model. This low curvature region corresponds to the energy scales where the matrix model is strongly coupled. For non-singlet states, the lowest energy state appears to be when all branes are separated by a large amount (namely, the matrices get large diagonal expectation values) In this regime, the non-zero SU(N ) charges lead to a kind of angular potential going like 1/X2 for diagonal matrices of typical magnitude X. We are arguing that non-singlets are energetically disfavored at low energies This seems to contradict the picture proposed in [16, 17] for the deconfinement/black hole transition that is based on the idea that the Polyakov loop gets an expectation value.
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