Non-planar data of N $$ \mathcal{N} $$ = 4 SYM
Abstract The four-point function of length-two half-BPS operators in N $$ \mathcal{N} $$ = 4 SYM receives non-planar corrections starting at four loops. Previous work relied on the analysis of symmetries and logarithmic divergences to fix the integrand up to four constants. In this work, we compute...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP03(2020)003 |
| Summary: | Abstract The four-point function of length-two half-BPS operators in N $$ \mathcal{N} $$ = 4 SYM receives non-planar corrections starting at four loops. Previous work relied on the analysis of symmetries and logarithmic divergences to fix the integrand up to four constants. In this work, we compute those undetermined coefficients and fix the integrand completely by using the reformulation of N $$ \mathcal{N} $$ = 4 SYM in twistor space. The final integrand can be written as a combination of finite conformal integrals and we have used the method of asymptotic expansions to extract non-planar anomalous dimensions and structure constants for twist- two operators up to spin eight. Some of the results were already known in the literature and we have found agreement with them. |
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| ISSN: | 1029-8479 |