A new look at instantons and large-N limit
| Autor: | Azeyanagi, Tatsuo, Hanada, Masanori, Honda, Masazumi, Matsuo, Yoshinori, Shiba, Shotaro |
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| Rok vydání: | 2013 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP05(2014)008 |
| Popis: | We analyze instantons in the very strongly coupled large-$N$ limit ($N\to\infty$ with $g^2$ fixed) of large-$N$ gauge theories, where the effect of the instantons remains finite. By using the exact partition function of four-dimensional ${\cal N}=2^*$ gauge theories as a concrete example, we demonstrate that each instanton sector in the very strongly coupled large-$N$ limit is related to the one in the 't Hooft limit ($N\to\infty$ with $g^2N$ fixed) through a simple analytic continuation. Furthermore we show the equivalence between the instanton partition functions of a pair of large-$N$ gauge theories related by an orbifold projection. This can open up a new way to analyze the partition functions of low/non-supersymmetric theories. We also discuss implication of our result to gauge/gravity dualities for M-theory as well as a possible application to large-$N$ QCD. Comment: 10 pages |
| Databáze: | arXiv |
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