Shaping up BPS States with Matrix Model Saddle Points
arXiv:1007.5284 · doi:10.1088/1751-8113/43/46/465402
Abstract
We provide analytical results for the probability distribution of a family of wavefunctions of a quantum mechanics model of commuting matrices in the large-N limit. These wavefunctions describe the strong coupling limit of 1/8 BPS states of N=4 supersymmetric Yang-Mills theory. Therefore, in the large-N limit, they should be dual to classical solutions of type IIB supergravity that asymptotically approach AdS5xS5. Each probability distribution can be described as the partition function of a matrix model (different wavefunctions correspond to different matrix model potentials) which we study by means of a saddle point approximation. These saddle point solutions are given in terms of (five-dimensional) hypersurfaces supporting density distributions of eigenvalues.
23 pages; v2 added reference
References in corpus (19)
- Gauge Theory Correlators from Non-Critical String Theory
- Bubbling AdS space and 1/2 BPS geometries
- A toy model for the AdS/CFT correspondence
- Large N BPS states and emergent quantum gravity
- All loop BMN state energies from matrices
- Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity
- Multi-matrix models and emergent geometry
- Matrix Model Maps in AdS/CFT
- Complex Matrix Model and Fermion Phase Space for Bubbling AdS Geometries
- Emergent geometry from q-deformations of N=4 super Yang-Mills
- Aspects of emergent geometry in the AdS/CFT context
- Geometry and topology of bubble solutions from gauge theory
- A Monte-Carlo study of the AdS/CFT correspondence: an exploration of quantum gravity effects
- Reconstructing 1/2 BPS Space-Time Metrics from Matrix Models and Spin Chains
- Numerical tests of AdS/CFT at strong coupling
- Strings on conifolds from strong coupling dynamics, part I
- Strings on conifolds from strong coupling dynamics: quantitative results
- Hints of Integrability Beyond the Planar Limit: Nontrivial Backgrounds
- Strings on Bubbling Geometries