Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-11-13
Physics
High Energy Physics
High Energy Physics - Theory
39 pages, discussion on NS sector zero point energy problem withdrawn
Scientific paper
We consider string theory in maximally supersymmetric type IIB plane wave background with constant five form Ramond-Ramond flux (RR plane wave). It is argued that there exists a universal sector of string configurations independent of the null coordinate $x^-$ such that the space-time action evaluated at such a configuration is same in the RR plane wave and flat background. By naturally assuming its validity for the open strings we further argue that the D-branes extending along $x^{\pm}$ are universal in these two backgrounds. Moreover, a universal D-brane which is BPS in flat space must be tachyon-free in RR plane wave and a non-BPS D-brane should have a real tachyon whose potential is universal. Given the above observation we then proceed to describe open string theories for the non-BPS D-branes in RR plane wave. It is suggested that the light-cone Green-Schwarz fermions on the world-sheet satisfy certain bi-local boundary condition similar to that corresponding to flat space. We attempt a canonical quantisation with this boundary condition which gives rise to an open string spectrum similar to that in flat space - containing an R and NS sectors of states. In this process we encounter certain subtleties involving the R sector zero modes. Although the derivation of the R sector zero mode spectrum using the open string theory has not been completely settled, we suggest definite answer by requiring consistency with the relevant space-time interpretation. We finally generalise the above basic features of universality to all the exact pp-wave backgrounds with the same dilaton profile in a given string theory.
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