We investigate a strong coupling expansion of N=6 superconformal Chern-Simons theory obtained from the semiclassical analysis of low energy, effective degrees of freedom given by the eigenvalues of a certain matrix model. We show how the orbifolded sphere S7/Zk of the dual geometry emerges dynamically from the distribution of the eigenvalues. As a test of this approach we compute the energy of off-diagonal excitations, finding perfect agreement with the dispersion relation of giant magnons.
Emergent geometry in N=6 Chern-Simons-matter theory / Trancanelli, Diego. - (2009). (Intervento presentato al convegno BIRS Workshop on Gauge Fields, Cosmology, and Mathematical String Theory tenutosi a Banff, Alberta (Canada) nel Feb. 1-6, 2009).
Emergent geometry in N=6 Chern-Simons-matter theory
Trancanelli Diego
2009
Abstract
We investigate a strong coupling expansion of N=6 superconformal Chern-Simons theory obtained from the semiclassical analysis of low energy, effective degrees of freedom given by the eigenvalues of a certain matrix model. We show how the orbifolded sphere S7/Zk of the dual geometry emerges dynamically from the distribution of the eigenvalues. As a test of this approach we compute the energy of off-diagonal excitations, finding perfect agreement with the dispersion relation of giant magnons.
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