4 problems

Let ${\cal H}$ and $\bar{\cal H}$ be the chiral state spaces of the two-dimensional $SU(n)$ WZNW model, and let ${\cal V}_\Lambda$ be a finite-dimensional irreducible highest-weigh…

Let $\boldsymbol{\Gamma}$ be the field space of a principal chiral model and let $\textnormal{\textbf{G}}$ be a subgroup. Consider regions in which the field is pinned either to va…

Consider compactifications of the six-dimensional $(0,2)$ theory on a four-manifold $X_4$ with defects wrapping a punctured Riemann surface and filling a two-dimensional subspace o…

Permutation branes are boundary conditions for the $n$-fold direct product $G\times G\times\cdots\times G$ WZNW model on a strip world-sheet. The relevant moduli space is a moduli…