Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-10-10
Nucl.Phys. B465 (1996) 315-328
Physics
High Energy Physics
High Energy Physics - Theory
Scientific paper
10.1016/0550-3213(96)00053-3
It is known that the partition function and correlators of the two-dimensional topological field theory $G_K(N)/ G_K(N)$ on the Riemann surface $\Sigma_{g,s}$ is given by Verlinde numbers, dim($V_{g,s,K}$) and that the large $K$ limit of dim($V_{g,s,K}$) gives Vol(${\cal M}_s$), the volume of the moduli space of flat connections of gauge group $G(N)$ on $\Sigma_{g,s}$, up to a power of $K$. Given this relationship, we complete the computation of Vol(${\cal M}_s$) using only algebraic results from conformal field theory. The group-level duality of $G(N)_K$ is used to show that if $G(N)$ is a classical group, then $\displaystyle \lim_{N\rightarrow \infty} G_K(N) / G_K(N)$ is a BF theory with gauge group $G(K)$. Therefore this limit computes Vol(${\cal M}^\prime_s$), the volume of the moduli space of flat connections of gauge group $G(K)$.
Isidro Jose M.
Nunes Joao P.
Schnitzer Howard J.
No associations
LandOfFree
BF Theories and Group-Level Duality does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with BF Theories and Group-Level Duality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and BF Theories and Group-Level Duality will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-64496