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

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.
18
Geometry and topology : lectures given at the Geometry and Topology conferences at Harvard University in 2011 and at Lehigh University in 2012
19
101
http://intlpress.com/site/pub/pages/journals/items/sdg/content/vols/0018/0001/index.html
Cecotti, Sergio; Vafa, C.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/15097
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