Report
String corrections to AdS amplitudes and the double-trace spectrum of N=4 SYM
| العنوان: | String corrections to AdS amplitudes and the double-trace spectrum of N=4 SYM |
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| المؤلفون: | Drummond, J. M., Nandan, D., Paul, H., Rigatos, K. S. |
| المصدر: | JHEP 1912 (2019) 173 |
| سنة النشر: | 2019 |
| المجموعة: | High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory |
| الوصف: | We consider $\alpha'$ corrections to four-point correlators of half-BPS operators in $\mathcal{N}=4$ super Yang-Mills theory in the supergravity limit. By demanding the correct behaviour in the flat space limit, we find that the leading $(\alpha')^3$ correction to the Mellin amplitude is fixed for arbitrary charges of the external operators. By considering the mixing of double-trace operators we can find the $(\alpha')^3$ corrections to the double-trace spectrum which we give explicitly for $su(4)$-singlet operators. We observe striking patterns in the corrections to the spectra which hint at their common ten-dimensional origin. By extending the observed patterns and imposing them at order $(\alpha')^5$ we are able to reproduce the recently found result for the correction to the Mellin amplitude for $\langle \mathcal{O}_2 \mathcal{O}_2 \mathcal{O}_p \mathcal{O}_p \rangle$ correlators. By applying a similar logic to the $[0,1,0]$ channel of $su(4)$ we are able to deduce new results for the correlators of the form $\langle \mathcal{O}_2 \mathcal{O}_3 \mathcal{O}_{p-1} \mathcal{O}_p \rangle$. Comment: 28 pages; v2: minor changes and improved discussion, journal version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/JHEP12(2019)173 |
| URL الوصول: | http://arxiv.org/abs/1907.00992 |
| رقم الانضمام: | edsarx.1907.00992 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/JHEP12(2019)173 |
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