1995/10/10 by J. M. Isidro, Jose M. Isidro, J. P. Nunes +3
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Conformal field theory #Duality (order theory) #Gauge group #Gauge theory #Group (periodic table) #Homotopy and Cohomology in Algebraic Topology #Limit (mathematics) #Moduli space #Partition function (quantum field theory) #Riemann surface #Space (punctuation) #hep-th
paper · pdf · doi:10.1016/0550-3213(96)00053-3
published as Nucl.Phys. B465 (1996) 315-328
arxiv created 1995/10/10 · openalex publication_date 1996/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
It is known that the partition function and correlators of the two-dimensional topological field theory GK(N)/ GK(N) on the Riemann surface Σg,s is given by Verlinde numbers, dim(Vg,s,K) and that the large K limit of dim(Vg,s,K) gives Vol(\cal Ms), the volume of the moduli space of flat connections of gauge group G(N) on Σg,s, up to a power of K. Given this relationship, we complete the computation of Vol(\cal Ms) 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 limN→ ∞ GK(N) / GK(N) is a BF theory with gauge group G(K). Therefore this limit computes Vol(\cal M^′s), the volume of the moduli space of flat connections of gauge group G(K).