2009/12/13 by Gastón Giribet, Gaston Giribet
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conjecture #Function (biology) #Gauge theory #Geometry #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Partition function (quantum field theory) #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Symmetry (geometry) #hep-th
paper · pdf · doi:10.1007/jhep01(2010)097
published as JHEP 1001:097,2010 · 18 pages. v2, a misinterpretation in the gauge theory side has been corrected; title and introduction were changed accordingly
arxiv created 2009/12/13 · openalex publication_date 2010/01/01 · arxiv updated 2010/12/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider Alday-Gaiotto-Tachikawa (AGT) realization of the Nekrasov partition function of N=2 SCFT. We focus our attention on the SU(2) theory with Nf=4 flavor symmetry, whose partition function, according to AGT, is given by the Liouville four-point function on the sphere. The gauge theory with Nf=4 is known to exhibit SO(8) symmetry. We explain how the Weyl symmetry transformations of SO(8) flavor symmetry are realized in the Liouville theory picture. This is associated to functional properties of the Liouville four-point function that are a priori unexpected. In turn, this can be thought of as a non-trivial consistency check of AGT conjecture. We also make some comments on elementary surface operators and WZW theory.