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Directed polymers (strings) and semiflexible polymers (filaments) areone-dimensional objects governed by tension and bending energy, respectively.They undergo unbinding transitions in the presence of a short-range attractivepotential. Using transfer matrix methods we establish a duality mapping forfilaments and strings between the restricted partition sums in the absence andthe presence of a short-range attraction. This allows us to obtain exactresults for the critical exponents related to the unbinding transition, thetransition point and transition order.

Duality mapping and unbinding transitions of semiflexible and directed polymers