2016/11/28 by Kol, Uri
#FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.1611.09396
We study the SO(3) sector of the N=1^* mass deformation of N=4 super Yang-Mills on S4. The gravity dual of this sector is N=2 supergravity coupled to two hypermultiplets. The scalar fields in the hypermultiplets span a quaternionic-Kahler manifold that is described by the coset G2,2/SU(2)× SU(2). We use the N=2 supergravity dual to study field configurations in the bulk that feature analytical solutions, and compute the corresponding S4 free energy using the procedure of holographic renormalization. We find that the free energy of these configurations is quadratic in the mass and show that it is devoid of unphysical ambiguities, hence providing an analytical prediction for the N=1 four-sphere partition function at large 't Hooft coupling in the planar limit.