Non-planar corrections to ABJM Bremsstrahlung function from quantum M2 brane
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912193033797632 |
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| author | Beccaria, Matteo Tseytlin, Arkady A. |
| author_facet | Beccaria, Matteo Tseytlin, Arkady A. |
| contents | As was shown in arXiv:2303.15207, the leading large $N$, fixed $k$ correction in the localization result for the expectation value of the $\frac{1}{2}$-BPS circular Wilson loop in $U(N)_{k}\times U(N)_{-k}$ ABJM theory given by the $(\sin\frac{2π}{ k})^{-1}$ factor can be reproduced on the dual M-theory side as the one-loop correction in the partition function of an M2 brane in AdS$_{4}\times S^{7}/\mathbb{Z}_{k}$ with AdS$_{2}\times S^{1}$ world volume. Here we prove, following the suggestion in arXiv:2408.10070, that the analogous fact is true also for the corresponding correction $B_1=-\frac{1}{2πk}\cot\frac{2π}{k}$ in the localization result for the Bremsstrahlung function associated with the Wilson line with a small cusp in either AdS$_4$ or $\rm CP^3$. The corresponding M2 brane is wrapped on the 11d circle and generalizes the type IIA string solution in AdS$_{4}\times \rm CP^3$ ending on the cusped line. We show that the one-loop term in the M2 brane partition function reproduces the localization expression for $B_1$ as the coefficient of the leading term in its small cusp expansion. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_06858 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-planar corrections to ABJM Bremsstrahlung function from quantum M2 brane Beccaria, Matteo Tseytlin, Arkady A. High Energy Physics - Theory As was shown in arXiv:2303.15207, the leading large $N$, fixed $k$ correction in the localization result for the expectation value of the $\frac{1}{2}$-BPS circular Wilson loop in $U(N)_{k}\times U(N)_{-k}$ ABJM theory given by the $(\sin\frac{2π}{ k})^{-1}$ factor can be reproduced on the dual M-theory side as the one-loop correction in the partition function of an M2 brane in AdS$_{4}\times S^{7}/\mathbb{Z}_{k}$ with AdS$_{2}\times S^{1}$ world volume. Here we prove, following the suggestion in arXiv:2408.10070, that the analogous fact is true also for the corresponding correction $B_1=-\frac{1}{2πk}\cot\frac{2π}{k}$ in the localization result for the Bremsstrahlung function associated with the Wilson line with a small cusp in either AdS$_4$ or $\rm CP^3$. The corresponding M2 brane is wrapped on the 11d circle and generalizes the type IIA string solution in AdS$_{4}\times \rm CP^3$ ending on the cusped line. We show that the one-loop term in the M2 brane partition function reproduces the localization expression for $B_1$ as the coefficient of the leading term in its small cusp expansion. |
| title | Non-planar corrections to ABJM Bremsstrahlung function from quantum M2 brane |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.06858 |