Quantum M2-branes and Holography
Abstract
We discuss the semi-classical quantisation of supersymmetric membranes in holographic geometries with asymptotic AdS4 and AdS7 boundary conditions. In AdS4 geometries this quantisation prompts the need of ensemble changes when comparing bulk and boundary observables arising from such membranes. We also discuss how supersymmetric membranes localise to loci where the background Killing spinor turns chiral, circumventing the need of evaluating their zero-mode moduli integrals. Finally, we discuss a bulk analysis of an infinite tower of membrane instantons, or giant gravitons, in AdS7 geometries, whose worldvolume dynamics effectively reduces to a quantum mechanical system. This allows us to test, in a holographic setting, the emergence proposal that perturbative supergravity data may be extracted from towers of membrane instantons.
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