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We establish the duality between the torus knot superpolynomials or thePoincar\'e polynomials of the Khovanov homology and particular condensates in$\Omega$-deformed 5D supersymmetric QED compactified on a circle with 5dChern-Simons(CS) term. It is explicitly shown that $n$-instanton contributionto the condensate of the massless flavor in the background of four-observable,exactly coincides with the superpolynomial of the $T(n,nk+1)$ torus knot where$k$ - is the level of CS term. In contrast to the previously known results, theparticular torus knot corresponds not to the partition function of the gaugetheory but to the particular instanton contribution and summation over theknots has to be performed in order to obtain the complete answer. Theinstantons are sitting almost at the top of each other and the physics of the"fat point" where the UV degrees of freedom are slaved with point-likeinstantons turns out to be quite rich. Also also see knot polynomials in thequantum mechanics on the instanton moduli space. We consider the differentlimits of this correspondence focusing at their physical interpretation andcompare the algebraic structures at the both sides of the correspondence. Usingthe AGT correspondence, we establish a connection between superpolynomials forunknots and q-deformed DOZZ factors.

Condensates and instanton - torus knot duality. Hidden Physics at UV scale