AGT/ℤ2
Abstract We relate Liouville/Toda CFT correlators on Riemann surfaces with boundaries and cross-cap states to supersymmetric observables in four-dimensional N=2 $$ \mathcal{N}=2 $$ gauge theories. Our construction naturally involves four-dimensional theories with fields defined on different ℤ2 quoti...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP12(2017)099 |
| _version_ | 1831691878080184320 |
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| author | Bruno Le Floch Gustavo J. Turiaci |
| author_facet | Bruno Le Floch Gustavo J. Turiaci |
| author_sort | Bruno Le Floch |
| collection | DOAJ |
| description | Abstract We relate Liouville/Toda CFT correlators on Riemann surfaces with boundaries and cross-cap states to supersymmetric observables in four-dimensional N=2 $$ \mathcal{N}=2 $$ gauge theories. Our construction naturally involves four-dimensional theories with fields defined on different ℤ2 quotients of the sphere (hemisphere and projective space) but nevertheless interacting with each other. The six-dimensional origin is a ℤ2 quotient of the setup giving rise to the usual AGT correspondence. To test the correspondence, we work out the ℝℙ4 partition function of four-dimensional N=2 $$ \mathcal{N}=2 $$ theories by combining a 3d lens space and a 4d hemisphere partition functions. The same technique reproduces known ℝℙ2 partition functions in a form that lets us easily check two-dimensional Seiberg-like dualities on this nonorientable space. As a bonus we work out boundary and cross-cap wavefunctions in Toda CFT. |
| first_indexed | 2024-12-20T11:38:39Z |
| format | Article |
| id | doaj.art-e122f83505e64150bc98708a0375b5d3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T11:38:39Z |
| publishDate | 2017-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e122f83505e64150bc98708a0375b5d32022-12-21T19:42:03ZengSpringerOpenJournal of High Energy Physics1029-84792017-12-0120171215410.1007/JHEP12(2017)099AGT/ℤ2Bruno Le Floch0Gustavo J. Turiaci1Princeton Center for Theoretical Science, Princeton UniversityPhysics Department, Princeton UniversityAbstract We relate Liouville/Toda CFT correlators on Riemann surfaces with boundaries and cross-cap states to supersymmetric observables in four-dimensional N=2 $$ \mathcal{N}=2 $$ gauge theories. Our construction naturally involves four-dimensional theories with fields defined on different ℤ2 quotients of the sphere (hemisphere and projective space) but nevertheless interacting with each other. The six-dimensional origin is a ℤ2 quotient of the setup giving rise to the usual AGT correspondence. To test the correspondence, we work out the ℝℙ4 partition function of four-dimensional N=2 $$ \mathcal{N}=2 $$ theories by combining a 3d lens space and a 4d hemisphere partition functions. The same technique reproduces known ℝℙ2 partition functions in a form that lets us easily check two-dimensional Seiberg-like dualities on this nonorientable space. As a bonus we work out boundary and cross-cap wavefunctions in Toda CFT.http://link.springer.com/article/10.1007/JHEP12(2017)099Conformal and W SymmetrySupersymmetric Gauge TheorySupersymmetry and DualityDuality in Gauge Field Theories |
| spellingShingle | Bruno Le Floch Gustavo J. Turiaci AGT/ℤ2 Journal of High Energy Physics Conformal and W Symmetry Supersymmetric Gauge Theory Supersymmetry and Duality Duality in Gauge Field Theories |
| title | AGT/ℤ2 |
| title_full | AGT/ℤ2 |
| title_fullStr | AGT/ℤ2 |
| title_full_unstemmed | AGT/ℤ2 |
| title_short | AGT/ℤ2 |
| title_sort | agt z2 |
| topic | Conformal and W Symmetry Supersymmetric Gauge Theory Supersymmetry and Duality Duality in Gauge Field Theories |
| url | http://link.springer.com/article/10.1007/JHEP12(2017)099 |
| work_keys_str_mv | AT brunolefloch agtz2 AT gustavojturiaci agtz2 |