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...
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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 |
| _version_ | 1819170729292201984 |
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| author | Thiago Fleury Raul Pereira |
| author_facet | Thiago Fleury Raul Pereira |
| author_sort | Thiago Fleury |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-22T19:40:01Z |
| format | Article |
| id | doaj.art-76417e37b4a34785baa3c78e2fc4e1e0 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T19:40:01Z |
| publishDate | 2020-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-76417e37b4a34785baa3c78e2fc4e1e02022-12-21T18:14:53ZengSpringerOpenJournal of High Energy Physics1029-84792020-03-012020312510.1007/JHEP03(2020)003Non-planar data of N $$ \mathcal{N} $$ = 4 SYMThiago Fleury0Raul Pereira1International Institute of Physics, Federal University of Rio Grande do Norte, Campus UniversitárioSchool of Mathematics and Hamilton Mathematics Institute, Trinity College DublinAbstract 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.http://link.springer.com/article/10.1007/JHEP03(2020)0031/N ExpansionIntegrable Field TheoriesSupersymmetric Gauge Theory |
| spellingShingle | Thiago Fleury Raul Pereira Non-planar data of N $$ \mathcal{N} $$ = 4 SYM Journal of High Energy Physics 1/N Expansion Integrable Field Theories Supersymmetric Gauge Theory |
| title | Non-planar data of N $$ \mathcal{N} $$ = 4 SYM |
| title_full | Non-planar data of N $$ \mathcal{N} $$ = 4 SYM |
| title_fullStr | Non-planar data of N $$ \mathcal{N} $$ = 4 SYM |
| title_full_unstemmed | Non-planar data of N $$ \mathcal{N} $$ = 4 SYM |
| title_short | Non-planar data of N $$ \mathcal{N} $$ = 4 SYM |
| title_sort | non planar data of n mathcal n 4 sym |
| topic | 1/N Expansion Integrable Field Theories Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP03(2020)003 |
| work_keys_str_mv | AT thiagofleury nonplanardataofnmathcaln4sym AT raulpereira nonplanardataofnmathcaln4sym |