Paper detail

On Supermembrane in D=4, multiple M0-brane in D=11 and Supersymmetric Higher Spin Theories

In this thesis we have obtained and studied the complete set of superfield equations of motion for the interacting system of four-dimensional supermembrane and dynamical scalar multiplet. This study provides the first example of superfield equations for interacting system involving matter superfields and extended supersymmetric object, as well as the first set of superfield equations of motion for a dynamical system which includes supermembrane. The action for a supermembrane in a N = 1 D = 4 chiral superfield background has been also presented for the first time. We have obtained the complete set of equations of motion in spacetime components for the interacting system of dynamical D = 4 N = 1 supergravity and supermembrane from the superfield equations. To this end we have developed the Wess - Zumino approach type to Grisaru - Siegel - Gates - Ovrut - Waldram special minimal supergravity characterized by a dynamically generated cosmological constant. We have also found the superfield equations in N-extended tensorial superspaces with N = 2,4 and 8, which describe the D = 4 supermultiplets of massless conformal higher spin theory with N-extended supersymmetry. On the other hand, we have obtained the equations of motion of the system of multiple M0-brane derived from the covariant, supersymmetric and kappa-symmetric action proposed for such a system . We have also studied the gauge symmetries of the action which allows us to find the final form of the bosonic equations of motion for the center of energy coordinate functions. We have also shown that all BPS states of the system are (1/2)BPS states and have the same properties as the BPS states of a single M0-brane.