2014/10/17 by Marmiroli, Daniele
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.1410.4715
We analyse the phase structure of an N=2 massive deformation of N=4 SYM theory on an four-dimensional ellipsoid using recent results on supersymmetric localisation. Besides the 't~Hooft coupling λ, the relevant parameters appearing in the theory and discriminating between the different phases are the hypermultiplet mass M and the deformation (or squashing) parameter Q. The master field approximation of the matrix model associated to the analytically continued theory in the regime Q∼ 2M and on the compact space, is exactly solvable and does not display any phase transition, similarly to N=2 SU(N) SYM with 2N massive hypermultiplets. In the strong coupling limit, equivalent in our settings to the decompactification of the four-dimensional ellipsoid, we find evidence that the theory undergoes an infinite number of phase transitions starting at finite coupling and accumulating at λ=∞. Quite interestingly, the threshold points at which transitions occur can be pushed towards the weak coupling region by letting Q approach 2M.