Exact Results in D=2 Supersymmetric Gauge Theories
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2012
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| _version_ | 1866910277482577920 |
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| author | Doroud, Nima Gomis, Jaume Floch, Bruno Le Lee, Sungjay |
| author_facet | Doroud, Nima Gomis, Jaume Floch, Bruno Le Lee, Sungjay |
| contents | We compute exactly the partition function of two dimensional N=(2,2) gauge theories on S^2 and show that it admits two dual descriptions: either as an integral over the Coulomb branch or as a sum over vortex and anti-vortex excitations on the Higgs branches of the theory. We further demonstrate that correlation functions in two dimensional Liouville/Toda CFT compute the S^2 partition function for a class of N=(2,2) gauge theories, thereby uncovering novel modular properties in two dimensional gauge theories. Some of these gauge theories flow in the infrared to Calabi-Yau sigma models - such as the conifold - and the topology changing flop transition is realized as crossing symmetry in Liouville/Toda CFT. Evidence for Seiberg duality in two dimensions is exhibited by demonstrating that the partition function of conjectured Seiberg dual pairs are the same. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1206_2606 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | Exact Results in D=2 Supersymmetric Gauge Theories Doroud, Nima Gomis, Jaume Floch, Bruno Le Lee, Sungjay High Energy Physics - Theory Algebraic Geometry We compute exactly the partition function of two dimensional N=(2,2) gauge theories on S^2 and show that it admits two dual descriptions: either as an integral over the Coulomb branch or as a sum over vortex and anti-vortex excitations on the Higgs branches of the theory. We further demonstrate that correlation functions in two dimensional Liouville/Toda CFT compute the S^2 partition function for a class of N=(2,2) gauge theories, thereby uncovering novel modular properties in two dimensional gauge theories. Some of these gauge theories flow in the infrared to Calabi-Yau sigma models - such as the conifold - and the topology changing flop transition is realized as crossing symmetry in Liouville/Toda CFT. Evidence for Seiberg duality in two dimensions is exhibited by demonstrating that the partition function of conjectured Seiberg dual pairs are the same. |
| title | Exact Results in D=2 Supersymmetric Gauge Theories |
| topic | High Energy Physics - Theory Algebraic Geometry |
| url | https://arxiv.org/abs/1206.2606 |