CS1 - Cosmic Strings |
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Speaker |
Liu, Xin |
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Coauthors |
Li, Xinfei; Huang Yong-chang |
| Talk Title |
Tackling cosmic strings by knot polynomials |
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Abstract |
Cosmic strings in the early universe have received revived interest in recent years. In this work we derive these structures as topological defects from singular distributions of the quintessence field of dark energy. Emphasis is placed on the topological charge of tangled cosmic strings, which originates from the Hopf mapping degree and is a Chern-Simons type action possessing strong inherent tie to knot topology. It is shown that the knot polynomials (including Kauffman bracket, Jones & HOMFLYPT) can be constructed in terms of this charge, serving as a topological invariant much stronger than the traditional Gauss linking numbers in characterizing string topology. This method induces applications in two aspects. One is to search a tool to measure the cascade of descreasing topological complexity and that of descreasing energy/entropy. The other is arousing a promising mathematical approach for the study of physical breaking-reconnection processes of tangled cosmic strings. |
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