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. [10.4310/sdg.2013.v18.n1.a2]
Classification of complete N=2 supersymmetric theories in 4 dimensions
Cecotti, Sergio;
2013-01-01
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.