Gluon scattering in AdS at finite string coupling from localization
We consider gluons scattering in Type IIB string theory on AdS5 × S5/ℤ2 in the presence of D7 branes, which is dual to the flavor multiplet correlator in a certain 4d N = 2 USp(2N) gauge theory with SO(8) flavor symmetry and complexified coupling τ. We compute this holographic correlator in the larg...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Springer
2024
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| _version_ | 1811139737860177920 |
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| author | Behan, C Chester, SM Ferrero, P |
| author_facet | Behan, C Chester, SM Ferrero, P |
| author_sort | Behan, C |
| collection | OXFORD |
| description | We consider gluons scattering in Type IIB string theory on AdS5 × S5/ℤ2 in the presence of D7 branes, which is dual to the flavor multiplet correlator in a certain 4d N = 2 USp(2N) gauge theory with SO(8) flavor symmetry and complexified coupling τ. We compute this holographic correlator in the large N and finite τ expansion using constraints from derivatives of the mass deformed sphere free energy, which we compute to all orders in 1/N and finite τ using supersymmetric localization. In particular, we fix the F4 higher derivative correction to gluon scattering on AdS at finite string coupling τs = τ in terms of Jacobi theta functions, which feature the expected relations between the SL(2, ℤ) duality and the SO(8) triality of the CFT, and match it to the known flat space term. We also use the flat space limit to compute D2F4 corrections of the correlator at finite τ in terms of a non-holomorphic Eisenstein series. At weak string coupling, we find that the AdS correlator takes a form which is remarkably similar to that of the flat space Veneziano amplitude. |
| first_indexed | 2024-09-25T04:10:51Z |
| format | Journal article |
| id | oxford-uuid:9f906f44-42a7-40ff-a820-7aa137ca62d0 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-09-25T04:10:51Z |
| publishDate | 2024 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:9f906f44-42a7-40ff-a820-7aa137ca62d02024-06-18T20:10:42ZGluon scattering in AdS at finite string coupling from localizationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9f906f44-42a7-40ff-a820-7aa137ca62d0EnglishJisc Publications RouterSpringer2024Behan, CChester, SMFerrero, PWe consider gluons scattering in Type IIB string theory on AdS5 × S5/ℤ2 in the presence of D7 branes, which is dual to the flavor multiplet correlator in a certain 4d N = 2 USp(2N) gauge theory with SO(8) flavor symmetry and complexified coupling τ. We compute this holographic correlator in the large N and finite τ expansion using constraints from derivatives of the mass deformed sphere free energy, which we compute to all orders in 1/N and finite τ using supersymmetric localization. In particular, we fix the F4 higher derivative correction to gluon scattering on AdS at finite string coupling τs = τ in terms of Jacobi theta functions, which feature the expected relations between the SL(2, ℤ) duality and the SO(8) triality of the CFT, and match it to the known flat space term. We also use the flat space limit to compute D2F4 corrections of the correlator at finite τ in terms of a non-holomorphic Eisenstein series. At weak string coupling, we find that the AdS correlator takes a form which is remarkably similar to that of the flat space Veneziano amplitude. |
| spellingShingle | Behan, C Chester, SM Ferrero, P Gluon scattering in AdS at finite string coupling from localization |
| title | Gluon scattering in AdS at finite string coupling from localization |
| title_full | Gluon scattering in AdS at finite string coupling from localization |
| title_fullStr | Gluon scattering in AdS at finite string coupling from localization |
| title_full_unstemmed | Gluon scattering in AdS at finite string coupling from localization |
| title_short | Gluon scattering in AdS at finite string coupling from localization |
| title_sort | gluon scattering in ads at finite string coupling from localization |
| work_keys_str_mv | AT behanc gluonscatteringinadsatfinitestringcouplingfromlocalization AT chestersm gluonscatteringinadsatfinitestringcouplingfromlocalization AT ferrerop gluonscatteringinadsatfinitestringcouplingfromlocalization |