# Membranes at Quantum Criticality

@article{Hoava2008MembranesAQ, title={Membranes at Quantum Criticality}, author={Petr Hořava}, journal={Journal of High Energy Physics}, year={2008}, volume={2009}, pages={020-020} }

We propose a quantum theory of membranes designed such that the ground-state wavefunction of the membrane with compact spatial topology Σh reproduces the partition function of the bosonic string on worldsheet Σh. The construction involves worldvolume matter at quantum criticality, described in the simplest case by Lifshitz scalars with dynamical critical exponent z = 2. This matter system must be coupled to a novel theory of worldvolume gravity, also exhibiting quantum criticality with z = 2…

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