Eigenvalue Dynamics for Multimatrix Models
arXiv:1608.00399 · doi:10.1103/PhysRevD.96.026011
Abstract
By performing explicit computations of correlation functions, we find evidence that there is a sector of the two matrix model defined by the sector of super Yang-Mills theory, that can be reduced to eigenvalue dynamics. There is an interesting generalization of the usual Van der Monde determinant that plays a role. The observables we study are the BPS operators of the sector and include traces of products of both matrices, which are genuine multi matrix observables. These operators are associated to supergravity solutions of string theory.
arXiv comment28+1 pages
References in corpus (47)
- The Large N Limit of Superconformal Field Theories and Supergravity
- Bubbling AdS space and 1/2 BPS geometries
- Invasion of the Giant Gravitons from Anti-de Sitter Space
- Three-Point Functions of Chiral Operators in D=4, SYM at Large N
- Giant Gravitons in Conformal Field Theory
- Large branes in AdS and their field theory dual
- A toy model for the AdS/CFT correspondence
- SUSY and Goliath
- A New Double-Scaling Limit of N=4 Super Yang-Mills Theory and PP-Wave Strings
- The Library of Babel: On the origin of gravitational thermodynamics
- Superstars and Giant Gravitons
- Exact Multi-Matrix Correlators
- Large N BPS states and emergent quantum gravity
- D-branes in Yang-Mills theory and Emergent Gauge Symmetry
- Giant Gravitons - with Strings Attached (III)
- Giant Graviton Oscillators
- Exact Multi-Restricted Schur Polynomial Correlators
- Giant Gravitons - with Strings Attached (II)
- Giant Gravitons - with Strings Attached (I)
- Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity
- Finite Factorization equations and Sum Rules for BPS correlators in N=4 SYM theory
- Multi-matrix models and emergent geometry
- A double coset ansatz for integrability in AdS/CFT
- Geometries from Young Diagrams
- Surprisingly Simple Spectra
- Brane webs and 1/4-BPS geometries
- Matrix Model Maps in AdS/CFT
- A description of 1/4 BPS configurations in minimal type IIB SUGRA
- Complex Matrix Model and Fermion Phase Space for Bubbling AdS Geometries
- Restricted Schur Polynomials for Fermions and integrability in the su(2|3) sector
- Aspects of emergent geometry in the AdS/CFT context
- Geometry and topology of bubble solutions from gauge theory
- BPS states in type IIB SUGRA with $SO(4)\times SO(2)_{gauged} symmetry
- Non-planar Anomalous Dimensions in the sl(2) Sector
- 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
- Sketches of emergent geometry in the gauge/gravity duality
- Free particles from Brauer algebras in complex matrix models
- Strings on conifolds from strong coupling dynamics, part I
- Strings on conifolds from strong coupling dynamics: quantitative results
- Laplacians in polar matrix coordinates and radial fermionization in higher dimensions
- A strong coupling expansion for N=4 SYM theory and other SCFT's
- De Alfaro, Fubini and Furlan from multi Matrix Systems
- How universal is the Wigner distribution?
- The shape of emergent quantum geometry from an N=4 SYM minisuperspace approximation
- Large N Matrix Hyperspheres and the Gauge-Gravity Correspondence