D-branes in a Big Bang/Big Crunch Universe: Misner Space

Abstract

We study D-branes in a two-dimensional Lorentzian orbifold R^{1,1}/Γwith a discrete boost Γ. This space is known as Misner or Milne space, and includes big crunch/big bang singularity. In this space, there are D0-branes in spiral orbits and D1-branes with or without flux on them. In particular, we observe imaginary parts of partition functions, and interpret them as the rates of open string pair creation for D0-branes and emission of winding closed strings for D1-branes. These phenomena occur due to the time-dependence of the background. Open string 2 -> 2 scattering amplitude on a D1-brane is also computed and found to be less singular than closed string case.

48 pages, 2 figures; v2: minor changes, typos corrected

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• Matrix String Description of Cosmic Singularities in a Class of Time-dependent Solutions
• Matrix Membrane Big Bangs and D-brane Production
• A Matrix Model for the Null-Brane
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• Winding String Condensation and Noncommutative Deformation of Spacelike Singularity
• D-instantons and Closed String Tachyons in Misner Space
• Supersymmetric Intersecting Branes on the Waves
• Matrix Model in a Class of Time Dependent Supersymmetric Backgrounds
• String spectra near some null cosmological singularities
• A One Loop Problem of the Matrix Big Bang Model
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• The string wave function across a Kasner singularity
• Topology of the Misner Space and its g-boundary
• D-dualized D-brane
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• On the breakdown of the perturbative interaction picture in Big Crunch/Big Bang or the true reason why perturbative string amplitudes on temporal orbifolds diverge
• Brane Solutions in Time Dependent Backgrounds in D = 11 Supergravity and in Type II String Theories
• Fractional S-branes on a Spacetime Orbifold
• Closed String Tachyon Driving $f(R)$ Cosmology