Multiparticle N=8 mechanics with F(4) superconformal symmetry

Abstract

We present a new multiparticle model of N=8 mechanics with superconformal F(4) symmetry. The system is constructed in terms of two matrix N=4 multiplets. One of them is a bosonic matrix (1,4,3) multiplet and another is a fermionic (0,4,4) one. Off-diagonal bosonic components of the (1,4,3) multiplet are chosen to take values in the flag manifold U(n)/[U(1)]n and they carry additional gauge symmetries. The explicit form of the F(4) supersymmetry generators is found. We demonstrate that the F(4) superalgebra constructed contains as subalgebras two different D(2,1;α=−1/3) superalgebras intersecting over the common sl(2,R)⊕su(2) subalgebra.