4 problems

Let $\widetilde{{\cal M}}$ be the moduli space … where ${{\cal G}}$ is the gauge transformation group of $G$. A geometric index means an index obtained from characteristic classes…

Let $G/G$ denote the gauged Wess–Zumino–Witten model with gauge group $G$, and let the $G/G$ gauged WZW-matter model be its one-parameter deformation by BRST-exact matter fields. T…

Let $Z_{\rm GWZWM}^{SU(2)}(\Sigma_2,k,t)$ denote the partition function of the $SU(2)/SU(2)$ gauged WZW-matter model on a genus-two Riemann surface, with level $k$ and deformation…

Let $Z_{\rm GWZWM}^{SU(N)}(S^2,k,t)$ denote the partition function of the $SU(N)/SU(N)$ gauged WZW-matter model on the sphere, with rank $N$, level $k$, and deformation parameter…