2011/08/29 by Yuji Tachikawa, Tachikawa, Yuji
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Cover (algebra) #FOS: Physical sciences #Gauge (firearms) #Gauge theory #Geometry #High Energy Physics - Theory (hep-th) #Instanton #Mathematical Physics (math-ph) #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Partition function (quantum field theory) #Perspective (graphical) #Physics #Quantum mechanics #Theoretical physics #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1108.5632
38 pages, 19 figures. Based on lectures given at the "Summer School on Mathematical Physics 2011" at Komaba, August 2011
arxiv created 2011/08/29 · openalex publication_date 2011/08/29 · arxiv updated 2011/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A relationship between 4d gauge theory and 2d CFT will be reviewed from the very basics. We will first cover the introductory material on the 2d CFT and on the instantons of 4d gauge theory. Next we will explicitly calculate and check the agreement of the norm of a coherent state on the 2d side and the instanton partition function on the 4d side. We will then see how this agreement can be understood from the perspective of string and M theory.