Classification of Complete N = 2 Supersymmetric Theories in 4 Dimensions
By S. Cecotti, C. Vafa. 2011
164 citations recorded by the source corpus.
We define the notion of a complete N = 2 supersymmetric theory in 4 dimensions as a UV complete theory for which all the BPS central charges can be arbitrarily varied as we vary its Coulomb branch parameters, masses, and coupling constants. 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 (generalized) Gaiotto theories consisting of two 5-branes wrapping Riemann surfaces with punctures, as well as 11 additional exceptional cases, which we identify.
Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/5f66f9720560b560609d310de40230ab33e0baab
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In Geometry and Topology
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Citations in the corpus
- General Argyres-Douglas theory (2012, background): “This class of theories are called (A1, AN−1) theory which comes from the fact that the BPS quiver for this theory is of the product of A1 and AN−1 Dynkin diagram as shown in [17, 34, 3].”
- $\mathcal{N} = 2$ quantum field theories and their BPS quivers (2011, methodology): “The punctureless case provides examples of theories without BPS quivers [18].”
- Schur indices, BPS particles, and Argyres-Douglas theories (2015, methodology): “The BPS spectra of the Argyres-Douglas theories is known [18,19,33–36].”
- Geometric Engineering, Mirror Symmetry and 6d (1,0) -> 4d, N=2 (2015, methodology): “J H E P 1 1 ( 2 0 1 5 ) 1 2 3 which is exactly the condition for which the beta function contribution of gauging the diagonal flavor symmetry of a system of 4d Dpi(G) systems vanishes! The resulting SCFTs were introduced in [15] as generalization of the findings of [60] in the G = SU(2) case.”