7 problems

Let $X$ be the target of a 3-dimensional $\mathcal{N}=1$ supersymmetric sigma model, and let $X_+$ denote $X$ with a disjoint basepoint. Sigma-model boundary-condition conjecture.…

Let $S^k$ be the target sphere of radius $R$, and let $\tilde{\mathcal{L}}_{N,U}(S^k)$ be the manifold with boundary obtained by removing a tubular neighborhood…

Let $G$ be a compact group with complexification $G_{\mathbb C}$, let $B$ be a Borel subgroup, and let $s$ be the trigonometric deformation parameter. The resulting family of metri…

Let $\Pi=P_X\oplus P_Z$ be the positive plane determining a supersymmetric non-linear K3 sigma model, and let $G_\Pi$ be the corresponding group of automorphisms. For $g\in G_\Pi$,…

Let $\Lambda$ be the Leech lattice, and let $V^{s\natural}$ be the canonically-twisted module considered in the paper. A supersymmetry-preserving automorphism of a supersymmetric n…

Let $A_\theta$ be a noncommutative torus with smooth subalgebra $A_\theta^\infty$, and let $\varphi_A$ be the $*$-automorphism defined by … where…

Sigma-model example conjecture. Sigma model produces an example of a symmetric OC TCFT.