4 problems

Let $X=X_\Delta^3$ be a Calabi–Yau 3-fold and let $L=L_{AV}$ be an Aganagic–Vafa A-brane. Let $X^\vee\subset(\mathbb{C}^\times)^2\times\mathbb{C}^2$ be its mirror, and let $W$ be t…

Let $G_c$ be a complex reductive group with Langlands dual group $^LG_c$. Let $i_1$ be the involution whose fixed points form a $(B,A,A)$-brane in $\mathcal{M}_{G_c}$, and let…

Let $G_c$ be a complex reductive group with Langlands dual group $^LG_c$, let $f$ be the anti-holomorphic involution of the Riemann surface defining $i_2$, and let $^L\rho$ be the…

Bulk-boundary deformation conjecture. Such a mathematical pairing should realize a bulk-boundary operator product expansion under deformation of the BRST operator, and mathematical…