Solvable model of strings in a time-dependent plane-wave background
By Georgios Papadopoulos, Jorge G. Russo, A. Tseytlin. 2002
144 citations recorded by the source corpus.
We investigate a string model defined by a special plane-wave metric ds2 = 2du dv ? ?(u)x2 du2 + dx2 with ? = k/u2 and k = const > 0. This metric is a Penrose limit of some cosmological, Dp-brane and fundamental string backgrounds. Remarkably, in Rosen coordinates the metric has a 'null cosmology' interpretation with flat spatial sections and scale factor which is a power of the light-cone time u. We show that: (i) this spacetime is a Lorentzian homogeneous space. In particular, it admits a boost isometry u' = ?u, v' = ??1v similar to Minkowski space. (ii) It is an exact solution of string theory when supplemented by a u-dependent dilaton such that the corresponding effective string coupling e(u) goes to zero at u = ? and at the singularity u = 0, reducing back-reaction effects. (iii) The classical string equations in this background become linear in the light-cone gauge and can be solved explicitly in terms of Bessel's functions, and thus the string model can be directly quantized. This allows one to address the issue of singularity at the string-theory level. We examine the propagation of first-quantized point-particle and string modes in this time-dependent background. Using an analytic continuation prescription we argue that the string propagation through the singularity can be smooth.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/273a6137a809ef496fac405b98a9dbf3c51d0cec
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Citations in the corpus
- Gauge-string duality for superconformal deformations of N=4 super Yang-Mills theory (2005, background): “fermionic terms in the string action (and, in general, to take into account the dilaton coupling, cf.[ 77 ]).”
- Comments on Cosmological Singularities in String Theory (2002, background): “In particular, the behavior near cosmological singularities has recently been studied by many researchers, including [1-26].”
- Homogeneous plane waves (2002, methodology): “sequently string theory) on these backgrounds. To illustrate this, we consider two examples. One is the particle moving in the background (1.3). This complements rather than duplicates the results of [30] as we naturally end up in the range of frequencies not covered there (k>1/4 in the notation ”