Interactions between knot theory, quantum field theory, and string
theory have always been very fruitful, and various ideas in physics
often led to important results in knot theory. Examples of such
results include reformulation of knot polynomials as quantum
correlators in Chern-Simons theory, or a discovery of integral
Ooguri-Vafa invariants. One of the most exciting current
developments at the border of knot theory and physics relate to
reinterpretation of knot homologies as spaces of BPS states in
D-brane systems in string theory. In this talk I will review some
recent results in this context, and - in particular - present
conjectural form of so-called colored superpolynomials for various
knots, which have been determined based on insights from physics.
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