Phase transition of anti-symmetric Wilson loops in N=4 $$ \mathcal{N}=4 $$ SYM
Abstract We will argue that the 1/2 BPS Wilson loops in the anti-symmetric representations in the N=4 $$ \mathcal{N}=4 $$ super Yang-Mills (SYM) theory exhibit a phase transition at some critical value of the ’t Hooft coupling of order N 2. In the matrix model computation of Wilson loop expectation...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP12(2017)125 |
| Summary: | Abstract We will argue that the 1/2 BPS Wilson loops in the anti-symmetric representations in the N=4 $$ \mathcal{N}=4 $$ super Yang-Mills (SYM) theory exhibit a phase transition at some critical value of the ’t Hooft coupling of order N 2. In the matrix model computation of Wilson loop expectation values, this phase transition corresponds to the transition between the one-cut phase and the two-cut phase. It turns out that the one-cut phase is smoothly connected to the small ’t Hooft coupling regime and the 1/N corrections of Wilson loops in this phase can be systematically computed from the topological recursion in the Gaussian matrix model. |
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| ISSN: | 1029-8479 |