Type IIB String Backgrounds on Parallelizable PP-Waves and Conformal Liouville Theory

dc.creatorHssaini, M.
dc.creatorSedra, M. B.
dc.date2003-08-27
dc.date2003-09-02
dc.date.accessioned2026-07-07T04:15:39Z
dc.date.available2026-07-07T04:15:39Z
dc.descriptionThe 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 $Φ$, 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 $T(Φ)$ coincides exactly with the trace of the symmetric matrix $μ_{ij}$ appearing in the quadratic front factor $F=μ_{ij}x^{i}x^{j}$ of the Ppp-wave. Furthermore, we consider the transverse space dependence of the dilaton $Φ$ 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.
dc.descriptionLaTeX file, 16 pages,Extended discussion, References updated
dc.identifierhttps://arxiv.org/abs/hep-th/0308187
dc.identifierhttp://arxiv.org/abs/hep-th/0308187
dc.identifierAfr.J.Math.Phys. 1 (2004) 91-97
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/52090
dc.subjectHigh Energy Physics - Theory
dc.titleType IIB String Backgrounds on Parallelizable PP-Waves and Conformal Liouville Theory
dc.typetext

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