2010/07/31 by Shoichi Kanno, Yutaka Matsuo, Shotaro Shiba
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Computer science #Correlation function (quantum field theory) #Data mining #Function (biology) #Gauge theory #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Partition function (quantum field theory) #Physics #Pure mathematics #Quantum mechanics #Quiver #Relation (database) #Statistics #hep-th
paper · pdf · doi:10.1103/physrevd.82.066009
published as Phys.Rev.D82:066009,2010 · 37 pages, 1 figure, ver.2: minor typos corrected
openalex publication_date 2010/09/30 · arxiv created 2012/03/29 · arxiv updated 2012/03/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We give some evidences of the Alday-Gaiotto-Tachikawa-Wyllard relation between SU(3) quiver gauge theories and A2 Toda theory. In particular, we derive the explicit form of 5-point correlation functions in the lower orders and confirm the agreement with Nekrasov's partition function for SU(3)\ifmmode×\else\texttimes\fiSU(3) quiver gauge theory. The algorithm to derive the correlation functions can be applied to a general n-point function in A2 Toda theory, which will be useful to establish the relation for more generic quivers. Partial analysis is also given for the SU(3)\ifmmode×\else\texttimes\fiSU(2) case, and we comment on some technical issues that need clarification before establishing the relation.