New approach to strongly coupled N $$ \mathcal{N} $$ = 4 SYM via integrability
Abstract Finding a systematic expansion of the spectrum of free superstrings on AdS5 × S5, or equivalently strongly coupled N $$ \mathcal{N} $$ = 4 SYM in the planar limit, remains an outstanding challenge. No first principle string theory methods are readily available, instead the sole tool at our...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-12-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2024)165 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841559894792077312 |
|---|---|
| author | Simon Ekhammar Nikolay Gromov Paul Ryan |
| author_facet | Simon Ekhammar Nikolay Gromov Paul Ryan |
| author_sort | Simon Ekhammar |
| collection | DOAJ |
| description | Abstract Finding a systematic expansion of the spectrum of free superstrings on AdS5 × S5, or equivalently strongly coupled N $$ \mathcal{N} $$ = 4 SYM in the planar limit, remains an outstanding challenge. No first principle string theory methods are readily available, instead the sole tool at our disposal is the integrability-based Quantum Spectral Curve (QSC). For example, through the QSC the first five orders in the strong coupling expansion of the conformal dimension of an infinite family of short operators have been obtained. However, when using the QSC at strong coupling one must often rely on numerics, and the existing methods for solving the QSC rapidly lose precision as we approach the strong coupling regime. In this paper, we introduce a new framework that utilises a novel set of QSC variables with a regular strong coupling expansion. We demonstrate how to use this approach to construct a new numerical algorithm that remains stable even at a ’t Hooft coupling as large as 106 (or g ~ 100). Employing this approach, we derive new analytic results for some states in the sl 2 $$ \mathfrak{sl}(2) $$ sector and beyond. We present a new analytic prediction for a coefficient in the strong coupling expansion of the conformal dimension for the lowest trajectory at a given twist L. For non-lowest trajectories, we uncover a novel feature of mixing with operators outside the sl 2 $$ \mathfrak{sl}(2) $$ sector, which manifests as a new type of analytic dependence on the twist. |
| format | Article |
| id | doaj-art-904b893820cc4a2e9cb96c416af04fc1 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-904b893820cc4a2e9cb96c416af04fc12025-01-05T12:06:09ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241215910.1007/JHEP12(2024)165New approach to strongly coupled N $$ \mathcal{N} $$ = 4 SYM via integrabilitySimon Ekhammar0Nikolay Gromov1Paul Ryan2Department of Mathematics, King’s College LondonDepartment of Mathematics, King’s College LondonDepartment of Mathematics, King’s College LondonAbstract Finding a systematic expansion of the spectrum of free superstrings on AdS5 × S5, or equivalently strongly coupled N $$ \mathcal{N} $$ = 4 SYM in the planar limit, remains an outstanding challenge. No first principle string theory methods are readily available, instead the sole tool at our disposal is the integrability-based Quantum Spectral Curve (QSC). For example, through the QSC the first five orders in the strong coupling expansion of the conformal dimension of an infinite family of short operators have been obtained. However, when using the QSC at strong coupling one must often rely on numerics, and the existing methods for solving the QSC rapidly lose precision as we approach the strong coupling regime. In this paper, we introduce a new framework that utilises a novel set of QSC variables with a regular strong coupling expansion. We demonstrate how to use this approach to construct a new numerical algorithm that remains stable even at a ’t Hooft coupling as large as 106 (or g ~ 100). Employing this approach, we derive new analytic results for some states in the sl 2 $$ \mathfrak{sl}(2) $$ sector and beyond. We present a new analytic prediction for a coefficient in the strong coupling expansion of the conformal dimension for the lowest trajectory at a given twist L. For non-lowest trajectories, we uncover a novel feature of mixing with operators outside the sl 2 $$ \mathfrak{sl}(2) $$ sector, which manifests as a new type of analytic dependence on the twist.https://doi.org/10.1007/JHEP12(2024)165Integrable Field TheoriesAdS-CFT CorrespondenceNonperturbative EffectsSupersymmetric Gauge Theory |
| spellingShingle | Simon Ekhammar Nikolay Gromov Paul Ryan New approach to strongly coupled N $$ \mathcal{N} $$ = 4 SYM via integrability Journal of High Energy Physics Integrable Field Theories AdS-CFT Correspondence Nonperturbative Effects Supersymmetric Gauge Theory |
| title | New approach to strongly coupled N $$ \mathcal{N} $$ = 4 SYM via integrability |
| title_full | New approach to strongly coupled N $$ \mathcal{N} $$ = 4 SYM via integrability |
| title_fullStr | New approach to strongly coupled N $$ \mathcal{N} $$ = 4 SYM via integrability |
| title_full_unstemmed | New approach to strongly coupled N $$ \mathcal{N} $$ = 4 SYM via integrability |
| title_short | New approach to strongly coupled N $$ \mathcal{N} $$ = 4 SYM via integrability |
| title_sort | new approach to strongly coupled n mathcal n 4 sym via integrability |
| topic | Integrable Field Theories AdS-CFT Correspondence Nonperturbative Effects Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP12(2024)165 |
| work_keys_str_mv | AT simonekhammar newapproachtostronglycouplednmathcaln4symviaintegrability AT nikolaygromov newapproachtostronglycouplednmathcaln4symviaintegrability AT paulryan newapproachtostronglycouplednmathcaln4symviaintegrability |