The operator rings of topological symmetric orbifolds and their large N limit
Sep 29, 2023Citations per year
Abstract: (Springer)
We compute the structure constants of topological symmetric orbifold theories up to third order in the large N expansion. The leading order structure constants are dominated by topological metric contractions. The first order interactions are single cycles joining while at second order we can have double joining as well as splitting. At third order, single cycle joining obtains genus one contributions. We also compute illustrative small N structure constants. Our analysis applies to all second quantized Frobenius algebras, a large class of algebras that includes the cohomology ring of the Hilbert scheme of points on K3 among many others. We point out interesting open questions that our results raise.Note:
- 48 pages
- 1/N Expansion
- Topological Field Theories
- AdS-CFT Correspondence
- Conformal Field Models in String Theory
- orbifold
- expansion 1/N
- topological
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