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Title:
Triply graded HOMFLY-PT link homology from a stack of D2 branes
Speaker:
Abstract:
This is a joint work with A. Oblomkov. I will review the 2-category underlying our matrix factorization-based construction of the HOMFLY-PT link homology and its 3d TQFT origin. I will also explain how this TQFT is derived from a string theory brane configurationwhich is conjecturally related to the Gukov-Schwarz-Vafa setup by moving the link-related NS5 branes into a position in which the D2 branes, which yield the link homology, assemble into a stack, thus producing a gauged 3d sigma model whose Higgs branch is the Hilbertscheme of points on C^2. A T-dual of our construction has a stack of D3 branes supporting the Langlands-related Kapustin-Witten model with NS5 and D5 inner walls.
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