We 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.|
|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|
|Data di pubblicazione:||2013|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.4310/sdg.2013.v18.n1.a2|
|Appare nelle tipologie:||2.1 Book chapter|