Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-08-27
Afr.J.Math.Phys. 1 (2004) 91-97
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX file, 16 pages,Extended discussion, References updated
Scientific paper
The scope of this work concerns the adaptation of the parallelizability pp-wave (Ppp-wave) process to D=10 type IIB string backgrounds in the presence of the non-trivial anti-self dual R-R 5-form $\QTR{cal}{F}$. This is important in the sense that it gives rise to some unsuspected properties. In fact, exact solutions of type IIB string backgrounds on Ppp-waves are discussed. For the $u$-dependence of the dilaton field $\Phi $, we establish explicitly a correspondence between type IIB supergravity equations of motion and 2d-conformal Liouville field theory. We show also that the corresponding conserved conformal current $T(\Phi)$ coincides exactly with the trace of the symmetric matrix $\mu_{ij}$ appearing in the quadratic front factor $F=\mu _{ij}x^{i}x^{j}$ of the Ppp-wave. Furthermore, we consider the transverse space dependence of the dilaton $\Phi $ and show that the supergravity equations are easily solved for the linear realization of the dilaton field. Other remarkable properties related to this case are also discussed.
Hssaini M.
Sedra Moulay Brahim
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