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EnglishWe define the notion of a complete N= 2 supersymmetric theory in 4 dimensions as one which has a maximal allowed dimension for a UV complete moduli space for the coupling constants, masses and Coulomb branch parameters. We classify all such theories whose BPS spectrum can be obtained via a quiver diagram. This is done using the 4d/2d correspondence and by showing that such complete N=2 theories map to quivers of finite mutation type. The list of such theories is given by the Gaiotto theories consisting of two 5-branes wrapping Riemann surfaces with punctures, as well as 11 additional exceptional cases, which we identify. Copyright © by International Press of Boston, Inc.
Classification of complete N=2 supersymmetric theories in 4 dimensions / Cecotti, Sergio; Vafa, C.. - 18(2013), pp. 19-101.
| Titolo: | Classification of complete N=2 supersymmetric theories in 4 dimensions |
| Autori: | Cecotti, Sergio; Vafa, C. |
| Serie: | |
| Titolo del libro: | Geometry and topology : lectures given at the Geometry and Topology conferences at Harvard University in 2011 and at Lehigh University in 2012 |
| Volume: | 18 |
| Data di pubblicazione: | 2013 |
| Pagina iniziale: | 19 |
| Pagina finale: | 101 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.4310/sdg.2013.v18.n1.a2 |
| URL: | http://intlpress.com/site/pub/pages/journals/items/sdg/content/vols/0018/0001/index.html |
| Appare nelle tipologie: | 2.1 Book chapter |
