Strong coupling expansion of circular Wilson loops and string theories in AdS$_5 \times {\rm S}^5$ and AdS$_4 \times {\rm CP}^3$
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| Autores principales: | , |
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| Formato: | Preprint |
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2020
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| _version_ | 1866915507021545472 |
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| author | Giombi, Simone Tseytlin, Arkady A. |
| author_facet | Giombi, Simone Tseytlin, Arkady A. |
| contents | We revisit the problem of matching the strong coupling expansion of the $\frac{1}{2}$ BPS circular Wilson loops in ${\cal N}=4$ SYM and ABJM gauge theories with their string theory duals in ${\rm AdS}_5 \times S^5$ and ${\rm AdS}_4 \times CP^3$, at the first subleading (one-loop) order of the expansion around the minimal surface. We observe that, including the overall factor $1/g_{\rm s}$ of the inverse string coupling constant, as appropriate for the open string partition function with disk topology, and a universal prefactor proportional to the square root of the string tension $T$, both the SYM and ABJM results precisely match the string theory prediction. We provide an explanation of the origin of the $\sqrt T$ prefactor based on special features of the combination of one-loop determinants appearing in the string partition function. The latter also implies a natural generalization $Z_χ\sim (\sqrt T/g_{\rm s})^χ$ to higher genus contributions with the Euler number $χ$, which is consistent with the structure of the $1/N$ corrections found on the gauge theory side. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2007_08512 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Strong coupling expansion of circular Wilson loops and string theories in AdS$_5 \times {\rm S}^5$ and AdS$_4 \times {\rm CP}^3$ Giombi, Simone Tseytlin, Arkady A. High Energy Physics - Theory We revisit the problem of matching the strong coupling expansion of the $\frac{1}{2}$ BPS circular Wilson loops in ${\cal N}=4$ SYM and ABJM gauge theories with their string theory duals in ${\rm AdS}_5 \times S^5$ and ${\rm AdS}_4 \times CP^3$, at the first subleading (one-loop) order of the expansion around the minimal surface. We observe that, including the overall factor $1/g_{\rm s}$ of the inverse string coupling constant, as appropriate for the open string partition function with disk topology, and a universal prefactor proportional to the square root of the string tension $T$, both the SYM and ABJM results precisely match the string theory prediction. We provide an explanation of the origin of the $\sqrt T$ prefactor based on special features of the combination of one-loop determinants appearing in the string partition function. The latter also implies a natural generalization $Z_χ\sim (\sqrt T/g_{\rm s})^χ$ to higher genus contributions with the Euler number $χ$, which is consistent with the structure of the $1/N$ corrections found on the gauge theory side. |
| title | Strong coupling expansion of circular Wilson loops and string theories in AdS$_5 \times {\rm S}^5$ and AdS$_4 \times {\rm CP}^3$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2007.08512 |