Matching quantum string corrections and circular Wilson loops in AdS 4 × CP 3
Abstract Recent progresses in the computation of quantum string corrections to holographic Wilson loops are extended to the case of strings in AdS 4 × CP 3. For this, the ratio of 1 2 $$ \frac{1}{2} $$ -BPS circular and 1 6 $$ \frac{1}{6} $$ -BPS latitude fermionic Wilson loops in ABJM is considered...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2019)158 |
| Summary: | Abstract Recent progresses in the computation of quantum string corrections to holographic Wilson loops are extended to the case of strings in AdS 4 × CP 3. For this, the ratio of 1 2 $$ \frac{1}{2} $$ -BPS circular and 1 6 $$ \frac{1}{6} $$ -BPS latitude fermionic Wilson loops in ABJM is considered at strong coupling by studying the corresponding semiclassical string partition functions. Explicit evaluation of fluctuation determinants using phaseshifts and diffeomorphism in-variant regulators leads to exact matching with the recent field theory proposal. Key to this computation is the choice of boundary conditions for massless fermions. In the limit for which the latitude Wilson loop has a trivial expectation value, the long known localization result for the 1 2 $$ \frac{1}{2} $$ -BPS fermionic circular Wilson loop in ABJM is recovered. |
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| ISSN: | 1029-8479 |