Membranes at Quantum Criticality

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dc.creatorHorava, Petr
dc.date2008-12-23
dc.date2009-02-24
dc.date.accessioned2026-07-07T12:56:51Z
dc.date.available2026-07-07T12:56:51Z
dc.descriptionWe propose a quantum theory of membranes designed such that the ground-state wavefunction of the membrane with compact spatial topology Σ_h reproduces the partition function of the bosonic string on worldsheet Σ_h. 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. We first construct such a nonrelativistic "gravity at a Lifshitz point" with z=2 in D+1 spacetime dimensions, and then specialize to the critical case of D=2 suitable for the membrane worldvolume. We also show that in the second-quantized framework, the string partition function is reproduced if the spacetime ground state takes the form of a Bose-Einstein condensate of membranes in their first-quantized ground states, correlated across all genera.
dc.description35 pages; v2: typos corrected; v3: additional typos corrected
dc.identifierhttps://arxiv.org/abs/0812.4287
dc.identifierhttp://arxiv.org/abs/0812.4287
dc.identifierJHEP 0903:020,2009
dc.identifierdoi:10.1088/1126-6708/2009/03/020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224728
dc.subjectHigh Energy Physics - Theory
dc.subjectMesoscale and Nanoscale Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.titleMembranes at Quantum Criticality
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