Volkov's scientific works concern issues of quantum field theory (scalar
quantum electrodynamics, generalization of quantum statistics —
parastatistics), the theory of
Regge poles, the theory of higher symmetries and the problem of spontaneous vacuum transitions in dual models, the construction of the method of phenomenological
Lagrangians in the theory of
elementary particles and its applications in
condensed matter physics. He constructed a generalized model that united the internal symmetry group of Goldstone particles with the group of Poincaré transformations. He proposed a new type of symmetry of elementary particles (
bosons and
fermions) —
supersymmetry, which became the basis for building unified theories of fundamental interactions; and developed a local generalization of
supersymmetry —
supergravity. Proposed a twistor-like approach in the theory of
superstrings and
supermembranes, which occupies a key place in carrying out covariant quantization of these relativistic extended objects. == Publications ==