4 problems

Let a quantum field theory possess solitonic symmetry arising from its target-space topological data. Solitonic anomaly-freedom conjecture. Solitonic symmetry is free of ’t Hooft a…

Consider a $d$-dimensional bosonic, respectively fermionic, theory defined by a path integral with target space $Y$. For $-1\leq p\leq d-1$, its $p$-form solitonic symmetry is expe…

Let $Y$ be a target space, and let $\oldmathbb{H}U(1)$ and $\oldmathbb{SU}$ denote the unitary and super-unitary spectra, respectively. Unitary cohomology conjecture. These two spe…

Let $Y$ be an $n$-finite space, meaning that $\pi_0Y$ and all homotopy groups $\pi_q(Y,y)$ for $0\leq q\leq n$ and $y\in Y$ are finite. An $n$-dimensional bosonic or fermionic $Y$-…