Interactions of cosmic superstrings Page: 3 of 22
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Figure 1: When cosmic strings approach each other, there is some probability for them
story of the strings during reconnection, as well as loop corrections to the interactions. A
novel boundary functional representation of the kinked string is also given. Finally we
conclude with an overview of upcoming experiments which might be sensitive to these
signatures. To emphasize the principles introduced here we study only the bosonic
string, but the ideas should easily generalize to the superstring.
2 The Cosmic Superstring Vertex Operators and
We will model cosmic superstrings as wound fundamental string states. These will then
interact to form other wound states, but will typically be kinked due to the relative
angle between the initial states (see Figure 1). The most straightforward way to study
these interactions is to construct vertex operators for all states. Consider two long,
straight wound strings on a 2D torus of size L and skew angle 0 as illustrated in Figure
2. The momenta are taken to be
2 - 1/2
p = , L (1, 0, 0, 0, 0), Li = L(0,1, 0, 0, 0),
F/r 2 4 1/2
P2 = ,2a') Sj [1 - v2 -1/2(1, 0, 0, v, 0), L2 = L(0, cos 0, sin 0, 0, 0).
These satisfy the conditions such there are no complications involving the branch cuts
of the vertex operators (see section 8.2 of ), and also the tachyonic mass-shell
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Jackson, Mark G. Interactions of cosmic superstrings, article, June 1, 2007; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc888411/m1/3/: accessed October 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.