This article reviews the matrix model of M theory. M theory is an 11-dimensional quantum
theory of gravity that is believed to underlie all superstring theories. M theory is currently the …

It is a pleasure for me to contribute to the Yuri Golfand memorial volume. I met Yuri several
times during his occasional visits of Lebedev Institute in the 80's. Two of our discussions in …

A bstract We present\(\mathcal {N}\)= 2 superconformal U (1) duality-invariant models for an
Abelian vector multiplet coupled to conformal supergravity. In a Minkowski background, such …

A bstract We propose a new family of U (1) duality-invariant models for nonlinear\(\mathcal
{N}\)= 1 supersymmetric electrodynamics coupled to supergravity. It includes the Cribiori …

We analyze the relationship between the N= 2 harmonic and projective superspaces, which
are the only approaches developed to describe general N= 2 super-Yang–Mills theories in …

We analyze the one-loop effective action of N= 4 SYM theory in the framework of the
bakground field formalism in N= 2 harmonic superspace. For the case of onshell …

Higher derivative terms in the effective action of certain Yang-Mills theories can be severely
constrained by supersymmetry. We show that requiring sixteen supersymmetries in quantum …

We compute the one-loop non-holomorphic effective potential for the N= 4 SU (n)
supersymmetric Yang-Mills theory with the gauge symmetry broken down to the maximal …

Using the N= 2 superfield approach, we construct full N= 4 supersymmetric low-energy
effective actions for N= 4 SYM models, with both N= 2 gauge superfield strengths and …

The full low-energy effective action of N= 4 SYM is believed to be self-dual. Starting with the
first two leading terms in a momentum expansion of this effective action, we perform a duality …