2012

Orientifolds and the Refined Topological String

Aganagic, Mina, Schaeffer, Kevin

Understand

We study refined topological string theory in the presence of orientifolds by counting second-quantized BPS states in M-theory.

  • This leads us to propose a new integrality condition for both refined and unrefined topological strings when orientifolds are present.
  • We define the SO(2N) refined Chern-Simons theory which computes refined open string amplitudes for branes wrapping Seifert three-manifolds.
  • We use the SO(2N) refined Chern-Simons theory to compute new invariants of torus knots that generalize the Kauffman polynomials.

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