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Analytic Continuation of Liouville Theory
Daniel Harlow, Jonathan Maltz, Edward Witten
Correlation functions in Liouville theory are meromorphic functions of the Liouville momenta, as is shown explicitly by the DOZZ formula for the three-point function on the sphere.…
Khovanov Homology And Gauge Theory
Edward Witten
In these notes, I will sketch a new approach to Khovanov homology of knots and links based on counting the solutions of certain elliptic partial differential equations in four and…
Knot Invariants from Four-Dimensional Gauge Theory
Davide Gaiotto, Edward Witten
It has been argued based on electric-magnetic duality and other ingredients that the Jones polynomial of a knot in three dimensions can be computed by counting the solutions of cer…
Fivebranes and Knots
Edward Witten
We develop an approach to Khovanov homology of knots via gauge theory (previous physics-based approches involved other descriptions of the relevant spaces of BPS states). The start…