image reformulated link invariants from topological strings Original Research Article

Large N duality conjecture between image Chern–Simons gauge theory on image and A-model topological string theory on the resolved conifold was verified at the level of partition function and Wilson loop observables. As a consequence, the conjectured form for the expectation value of the topological operators in A-model string theory led to a reformulation of link invariants in image Chern–Simons theory giving new polynomial invariants whose integer coefficients could be given a topological meaning. We show that the A-model topological operator involving image holonomy leads to a reformulation of link invariants in image Chern–Simons theory. Surprisingly, the image reformulated invariants also has a similar form with integer coefficients. The topological meaning of the integer coefficients needs to be explored from the duality conjecture relating image Chern–Simons theory to A-model closed string theory on orientifold of the resolved conifold background.