Abstract
We use the method of spectral networks to compute BPS state degeneracies in the MinahanNemeschansky E6E6 theory, on its Coulomb branch, without turning on a mass deformation. The BPS multiplicities come out in representations of the E6E6 flavor symmetry. For example, along the simplest ray in electromagnetic charge space, we give the first 14 numerical degeneracies, and the first 7 degeneracies as representations of E6E6 . We find a complicated spectrum, exhibiting exponential growth of multiplicities as a function of the electromagnetic charge. There is one unexpected outcome: the spectrum is consistent (in a nontrivial way) with the hypothesis of spin purity, that if a BPS state in this theory has electromagnetic charge equal to n times a primitive charge, then it appears in a spin n2n2 multiplet.
Original language  English 

Pages (fromto)  317–351 
Number of pages  35 
Journal  Communications in Mathematical Physics 
Volume  353 
Issue number  1 
Early online date  12 Nov 2016 
DOIs  
Publication status  Published  Jul 2017 
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Profiles

Lotte Hollands
 School of Mathematical & Computer Sciences  Associate Professor
 School of Mathematical & Computer Sciences, Mathematics  Associate Professor
Person: Academic (Research & Teaching)