Non-Abelian W-representation for GKM
А. Миронов, V. Mishnyakov, А. Морозов
Abstract
W-representation is a miraculous possibility to define a non-perturbative (exact) partition function as an exponential action of somehow integrated Ward identities on unity. It is well known for numerous eigenvalue matrix models, when the relevant operators are of a kind of W-operators: for the Hermitian matrix model with the Virasoro constraints, it is a W3-like operator, and so on. We extend this statement to the monomial generalized Kontsevich models (GKM), where the new feature is appearance of an ordered P-exponential for the set of non-commuting operators of different gradings.
Topics & Concepts
MonomialPhysicsHermitian matrixExponential functionOperator (biology)Eigenvalues and eigenvectorsPartition function (quantum field theory)Pure mathematicsRepresentation (politics)Abelian groupMathematical physicsAlgebra over a fieldMathematicsQuantum mechanicsMathematical analysisChemistryTranscription factorRepressorBiochemistryPoliticsPolitical scienceLawGeneAlgebraic structures and combinatorial modelsQuantum Mechanics and Non-Hermitian PhysicsMatrix Theory and Algorithms