Physics

We review our recent works on the index calculations related to 4d, 5d, and 6d maximally supersymmetric theories, where we have explored the 't Hooft operators, instantons, and monopole string junctions. In addition, we provide a tentative solution...

We compute the coefficient of the potential three-loop divergence in pure N=4 supergravity and show that it vanishes, contrary to expectations from symmetry arguments. The recently uncovered duality between color and kinematics is used to greatly...

I will review recent progress in the use of integrability in the AdS3/CFT2 correspondence. In particular I will show how novel alternating spin-chains with d(2,1\alpha) symmetry enter the stage as well as how the problem of the so-called massless...

Matrix models yield a theory of random two dimensional surfaces. They support a 1/N expansion dominated by planar graphs (corresponding to planar surfaces) and undergo a phase transition to a continuum theory. In higher dimensions matrix...