On Fluxbrane Polynomials for Generalized Melvin-like Solutions Associated with Rank 5 Lie Algebras

We consider generalized Melvin-like solutions corresponding to Lie algebras of rank 5 (A5, B5, C5, D5). The take place in a D-dimensional gravitational model with five Abelian two-forms and scalar fields. They are governed by moduli functions Hs(z) (s=1,...,5) squared radial coordinates z=?2, which obey differential master equations. polynomials powers (n1,n2,n3,n4,n5)=(5,8,9,8,5),(10,18,24,28,15),(9,16,21,24,25),(8,14,18,10,10) for A5, D5, respectively. asymptotic behavior the at large distances is some integer-valued 5×5 matrix ? connected certain way inverse Cartan algebra (in A5 D5 cases) representing generator Z2-group symmetry Dynkin diagram. duality identities obtained, as well relations distances.