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Can free strings propagate across plane wave singularities? · Around

2008

Can free strings propagate across plane wave singularities?

Craps, Ben, De Roo, Frederik, Evnin, Oleg

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We study free string propagation in families of plane wave geometries developing strong scale-invariant singularities in certain limits.

We relate the singular limit of the evolution for all excited string modes to that of the center-of-mass motion (the latter existing for discrete values of the overall plane wave profile normalization).
Requiring that the entire excitation energy of the string should be finite turns out to be quite restrictive and essentially excludes consistent propagation across the singularity, unless dimensionful scales are introduced at the singular locus (in an otherwise scale-invariant space-time).

Built on

G. T. Horowitz and A. R. Steif, “Space-Time Singularities in String Theory,” Phys. Rev. Lett. 64
1950
Earlier work this paper cites.
D. Amati and C. Klim c ˇ \mathrm{\check{c}} ík, “Strings in a shock wave background and generation of curved geometry from flat-space string theory”, Phys. Lett. B 210
1988
Earlier work this paper cites.
D. E. Berenstein, J. M. Maldacena and H. S. Nastase, “Strings in flat space and pp waves from N = 4 super Yang Mills,” JHEP 0204
2002
Earlier work this paper cites.
J. G. Russo and A. A. Tseytlin, “A class of exact pp-wave string models with interacting light-cone gauge actions,” JHEP 0209
2002
Earlier work this paper cites.

Similar

G. Papadopoulos, J. G. Russo and A. A. Tseytlin, “Solvable model of strings in a time-dependent plane-wave background,” Class. Quant. Grav. 20
2003
Cited alongside, same era.
J. R. David, “Plane waves with weak singularities,” JHEP 0311
2003
Cited alongside, same era.
M. Blau, M. Borunda, M. O’Loughlin and G. Papadopoulos, “Penrose limits and spacetime singularities,” Class. Quant. Grav. 21
2004
Cited alongside, same era.
Anton Zettl, Sturm-Liouville theory
Original
2005
Cited alongside, same era.

Then

B. Craps, S. Sethi and E. P. Verlinde, “A matrix big bang,” JHEP 0510
2006
Later among the works it cites.
M. Blau and M. O’Loughlin, “DLCQ and Plane Wave Matrix Big Bang Models,” JHEP 0809
Original
2008
Closest in time.
O. Evnin and T. Nguyen, “On discrete features of the wave equation in singular pp-wave backgrounds,” JHEP 0809
Original
2008
Closest in time.
B. Craps, F. De Roo and O. Evnin, “Quantum evolution across singularities: the case of geometrical resolutions,” JHEP 04
Original
2008
Closest in time.

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