A strange relationship between 2d CFT and 4d gauge theory

Physics – High Energy Physics – High Energy Physics - Theory

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38 pages, 19 figures. Based on lectures given at the "Summer School on Mathematical Physics 2011" at Komaba, August 2011

Scientific paper

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.

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