On the Construction of Sl(2,z) Type Iib 5-branes

The study of perturbative superstring spectra indicates that there must exist a so-called Type IIB supergravity as the low energy limit of type IIB superstring in addition to the well-known type IIA supergravity. This theory has two spacetime supersymmetries with the same handedness and is therefore chiral. The field content for this theory (in the real basis) consists of the metric gμν , a 2-from gauge potential B (1) μν , and the dilaton φ as its bosonic fields in the so-called NSNS-sector. It also contains another scalar χ, another 2-form gauge potential B (2) μν and a 4-form gauge potential Aμνρσ as the bosonic fields in the so-called RR-sector. In the fermionic sector the spectrum consists of two lefthanded Majorana-Weyl gravitinos ψ (i) μ and two right-handed Majorana-Weyl spinors λ with (i = 1, 2). The field strength for the 4-form gauge potential Aμνρσ is self-dual. For this reason, the construction of a manifestly covariant action is not possible for this theory. This fact led Schwarz 1 to write down the covariant equations of motion instead for this theory. The key for doing this is the supersymmetry and the global SL(2,R) symmetry. The two supersymmetries in this theory are known from the outset. However, the global SL(2,R) symmetry is not so