2006/04/28 by Kazumi Okuyama, Gordon W. Semenoff · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Combinatorics #Diagram #Fermion #Gauge theory #Limit (mathematics) #Loop (graph theory) #Materials science #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Operator (biology) #Phase (matter) #Phase diagram #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Representation (politics) #Statistics #TRACE (psycholinguistics) #Theoretical physics #Wilson loop #Zero (linguistics) #hep-th
paper · pdf · doi:10.1088/1126-6708/2006/06/057
published as JHEP0606:057,2006 · 32 pages, 2 figures
arxiv created 2006/04/28 · openalex publication_date 2006/06/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The matrix models which are conjectured to compute the circle Wilson loop and its correlator with chiral primary operators are mapped onto normal matrix models. A fermion droplet picture analogous to the well-known one for chiral primary operators is shown to emerge in the large N limit. Several examples are computed. We find an interesting selection rule for the correlator of a single trace Wilson loop with a chiral primary operator. It can be non-zero only if the chiral primary is in a representation with a single hook. We show that the expectation value of the Wilson loop in a large representation labelled by a Young diagram with a single row has a first order phase transition between a regime where it is identical to a large column representation and a regime where it is a large wrapping number single trace Wilson loop.