The planar limit of the N $$ \mathcal{N} $$ = 2 E-theory: numerical calculations and the large λ expansion
Abstract We study correlation functions of local operators and Wilson loop expectation values in the planar limit of a 4d N $$ \mathcal{N} $$ = 2 superconformal SU(N) YM theory with hypermultiplets in the symmetric and antisymmetric representations of the gauge group. This so called E theory is clos...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-02-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2024)100 |
| _version_ | 1827214352597385216 |
|---|---|
| author | Nikolay Bobev Pieter-Jan De Smet Xuao Zhang |
| author_facet | Nikolay Bobev Pieter-Jan De Smet Xuao Zhang |
| author_sort | Nikolay Bobev |
| collection | DOAJ |
| description | Abstract We study correlation functions of local operators and Wilson loop expectation values in the planar limit of a 4d N $$ \mathcal{N} $$ = 2 superconformal SU(N) YM theory with hypermultiplets in the symmetric and antisymmetric representations of the gauge group. This so called E theory is closely related to N $$ \mathcal{N} $$ = 4 SYM and has a holographic description in terms of a ℤ2 orientifold of AdS5 × S 5. Using recent matrix model results based on supersymmetric localization we develop efficient numerical methods to calculate two- and three-point functions of certain single trace operators as well as 1/2-BPS Wilson loop expectation values as a function of the ’t Hooft coupling λ. We use our numerical results to arrive at simple analytic expressions for these correlators valid up to sixth order in the λ −1/2 strong coupling expansion. These results provide explicit field theory predictions for the α′ corrections to the supergravity approximation of type IIB string theory on the AdS5 × S 5 /ℤ2 orientifold. |
| first_indexed | 2024-03-07T15:22:29Z |
| format | Article |
| id | doaj.art-0412bdb20cfe40079ad88cfe8630d4ed |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2025-03-21T14:29:58Z |
| publishDate | 2024-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0412bdb20cfe40079ad88cfe8630d4ed2024-06-23T11:09:48ZengSpringerOpenJournal of High Energy Physics1029-84792024-02-012024213810.1007/JHEP02(2024)100The planar limit of the N $$ \mathcal{N} $$ = 2 E-theory: numerical calculations and the large λ expansionNikolay Bobev0Pieter-Jan De Smet1Xuao Zhang2Instituut voor Theoretische Fysica, K.U. LeuvenInstituut voor Theoretische Fysica, K.U. LeuvenInstituut voor Theoretische Fysica, K.U. LeuvenAbstract We study correlation functions of local operators and Wilson loop expectation values in the planar limit of a 4d N $$ \mathcal{N} $$ = 2 superconformal SU(N) YM theory with hypermultiplets in the symmetric and antisymmetric representations of the gauge group. This so called E theory is closely related to N $$ \mathcal{N} $$ = 4 SYM and has a holographic description in terms of a ℤ2 orientifold of AdS5 × S 5. Using recent matrix model results based on supersymmetric localization we develop efficient numerical methods to calculate two- and three-point functions of certain single trace operators as well as 1/2-BPS Wilson loop expectation values as a function of the ’t Hooft coupling λ. We use our numerical results to arrive at simple analytic expressions for these correlators valid up to sixth order in the λ −1/2 strong coupling expansion. These results provide explicit field theory predictions for the α′ corrections to the supergravity approximation of type IIB string theory on the AdS5 × S 5 /ℤ2 orientifold.https://doi.org/10.1007/JHEP02(2024)100Nonperturbative EffectsSupersymmetric Gauge Theory1/N Expansion |
| spellingShingle | Nikolay Bobev Pieter-Jan De Smet Xuao Zhang The planar limit of the N $$ \mathcal{N} $$ = 2 E-theory: numerical calculations and the large λ expansion Journal of High Energy Physics Nonperturbative Effects Supersymmetric Gauge Theory 1/N Expansion |
| title | The planar limit of the N $$ \mathcal{N} $$ = 2 E-theory: numerical calculations and the large λ expansion |
| title_full | The planar limit of the N $$ \mathcal{N} $$ = 2 E-theory: numerical calculations and the large λ expansion |
| title_fullStr | The planar limit of the N $$ \mathcal{N} $$ = 2 E-theory: numerical calculations and the large λ expansion |
| title_full_unstemmed | The planar limit of the N $$ \mathcal{N} $$ = 2 E-theory: numerical calculations and the large λ expansion |
| title_short | The planar limit of the N $$ \mathcal{N} $$ = 2 E-theory: numerical calculations and the large λ expansion |
| title_sort | planar limit of the n mathcal n 2 e theory numerical calculations and the large λ expansion |
| topic | Nonperturbative Effects Supersymmetric Gauge Theory 1/N Expansion |
| url | https://doi.org/10.1007/JHEP02(2024)100 |
| work_keys_str_mv | AT nikolaybobev theplanarlimitofthenmathcaln2etheorynumericalcalculationsandthelargelexpansion AT pieterjandesmet theplanarlimitofthenmathcaln2etheorynumericalcalculationsandthelargelexpansion AT xuaozhang theplanarlimitofthenmathcaln2etheorynumericalcalculationsandthelargelexpansion AT nikolaybobev planarlimitofthenmathcaln2etheorynumericalcalculationsandthelargelexpansion AT pieterjandesmet planarlimitofthenmathcaln2etheorynumericalcalculationsandthelargelexpansion AT xuaozhang planarlimitofthenmathcaln2etheorynumericalcalculationsandthelargelexpansion |