BPS Wilson loop in N $$ \mathcal{N} $$ = 2 superconformal SU(N) “orientifold” gauge theory and weak-strong coupling interpolation
Abstract We consider the expectation value W $$ \left\langle \mathcal{W}\right\rangle $$ of the circular BPS Wilson loop in N $$ \mathcal{N} $$ = 2 superconformal SU(N) gauge theory containing a vector multiplet coupled to two hypermultiplets in rank-2 symmetric and antisymmetric representations. Th...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2021)085 |
| _version_ | 1818738901568716800 |
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| author | M. Beccaria G. V. Dunne A. A. Tseytlin |
| author_facet | M. Beccaria G. V. Dunne A. A. Tseytlin |
| author_sort | M. Beccaria |
| collection | DOAJ |
| description | Abstract We consider the expectation value W $$ \left\langle \mathcal{W}\right\rangle $$ of the circular BPS Wilson loop in N $$ \mathcal{N} $$ = 2 superconformal SU(N) gauge theory containing a vector multiplet coupled to two hypermultiplets in rank-2 symmetric and antisymmetric representations. This theory admits a regular large N expansion, is planar-equivalent to N $$ \mathcal{N} $$ = 4 SYM theory and is expected to be dual to a certain orbifold/orientifold projection of AdS5 × S 5 superstring theory. On the string theory side W $$ \left\langle \mathcal{W}\right\rangle $$ is represented by the path integral expanded near the same AdS2 minimal surface as in the maximally supersymmetric case. Following the string theory argument in [5], we suggest that as in the N $$ \mathcal{N} $$ = 4 SYM case and in the N $$ \mathcal{N} $$ = 2 SU(N) × SU(N) superconformal quiver theory discussed in [19], the coefficient of the leading non-planar 1/N 2 correction in W $$ \left\langle \mathcal{W}\right\rangle $$ should have the universal λ 3/2 scaling at large ’t Hooft coupling. We confirm this prediction by starting with the localization matrix model representation for W $$ \left\langle \mathcal{W}\right\rangle $$ . We complement the analytic derivation of the λ 3/2 scaling by a numerical high-precision resummation and extrapolation of the weak-coupling expansion using conformal mapping improved Padé analysis. |
| first_indexed | 2024-12-18T01:16:18Z |
| format | Article |
| id | doaj.art-93528506101e4981a3c91dc4c623c161 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-18T01:16:18Z |
| publishDate | 2021-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-93528506101e4981a3c91dc4c623c1612022-12-21T21:25:56ZengSpringerOpenJournal of High Energy Physics1029-84792021-07-012021713010.1007/JHEP07(2021)085BPS Wilson loop in N $$ \mathcal{N} $$ = 2 superconformal SU(N) “orientifold” gauge theory and weak-strong coupling interpolationM. Beccaria0G. V. Dunne1A. A. Tseytlin2Università del Salento, Dipartimento di Matematica e Fisica Ennio De Giorgi, and I.N.F.N. — sezione di LecceDepartment of Physics, University of ConnecticutBlackett Laboratory, Imperial College LondonAbstract We consider the expectation value W $$ \left\langle \mathcal{W}\right\rangle $$ of the circular BPS Wilson loop in N $$ \mathcal{N} $$ = 2 superconformal SU(N) gauge theory containing a vector multiplet coupled to two hypermultiplets in rank-2 symmetric and antisymmetric representations. This theory admits a regular large N expansion, is planar-equivalent to N $$ \mathcal{N} $$ = 4 SYM theory and is expected to be dual to a certain orbifold/orientifold projection of AdS5 × S 5 superstring theory. On the string theory side W $$ \left\langle \mathcal{W}\right\rangle $$ is represented by the path integral expanded near the same AdS2 minimal surface as in the maximally supersymmetric case. Following the string theory argument in [5], we suggest that as in the N $$ \mathcal{N} $$ = 4 SYM case and in the N $$ \mathcal{N} $$ = 2 SU(N) × SU(N) superconformal quiver theory discussed in [19], the coefficient of the leading non-planar 1/N 2 correction in W $$ \left\langle \mathcal{W}\right\rangle $$ should have the universal λ 3/2 scaling at large ’t Hooft coupling. We confirm this prediction by starting with the localization matrix model representation for W $$ \left\langle \mathcal{W}\right\rangle $$ . We complement the analytic derivation of the λ 3/2 scaling by a numerical high-precision resummation and extrapolation of the weak-coupling expansion using conformal mapping improved Padé analysis.https://doi.org/10.1007/JHEP07(2021)085AdS-CFT Correspondence1/N ExpansionExtended Supersymmetry |
| spellingShingle | M. Beccaria G. V. Dunne A. A. Tseytlin BPS Wilson loop in N $$ \mathcal{N} $$ = 2 superconformal SU(N) “orientifold” gauge theory and weak-strong coupling interpolation Journal of High Energy Physics AdS-CFT Correspondence 1/N Expansion Extended Supersymmetry |
| title | BPS Wilson loop in N $$ \mathcal{N} $$ = 2 superconformal SU(N) “orientifold” gauge theory and weak-strong coupling interpolation |
| title_full | BPS Wilson loop in N $$ \mathcal{N} $$ = 2 superconformal SU(N) “orientifold” gauge theory and weak-strong coupling interpolation |
| title_fullStr | BPS Wilson loop in N $$ \mathcal{N} $$ = 2 superconformal SU(N) “orientifold” gauge theory and weak-strong coupling interpolation |
| title_full_unstemmed | BPS Wilson loop in N $$ \mathcal{N} $$ = 2 superconformal SU(N) “orientifold” gauge theory and weak-strong coupling interpolation |
| title_short | BPS Wilson loop in N $$ \mathcal{N} $$ = 2 superconformal SU(N) “orientifold” gauge theory and weak-strong coupling interpolation |
| title_sort | bps wilson loop in n mathcal n 2 superconformal su n orientifold gauge theory and weak strong coupling interpolation |
| topic | AdS-CFT Correspondence 1/N Expansion Extended Supersymmetry |
| url | https://doi.org/10.1007/JHEP07(2021)085 |
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