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CFT and topological recursion
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DOI：10.1007/JHEP11(2010)056.png)
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Abstract
En 中文
We study the quasiclassical expansion associated with a complex curve. In a more specific context this is the 1/N expansion in U(N)-invariant matrix integrals. We compare two approaches, the CFT approach and the topological recursion, and show their equivalence. The CFT approach reformulates the problem in terms of a conformal field theory on a Riemann surface, while the topological recursion is based on a recurrence equation for the observables representing symplectic invariants on the complex curve. The two approaches lead to two different graph expansions, one of which can be obtained as a partial resummation of the other.
Keywords:
Matrix Models
1/N Expansion
Journal
IF:
5.5
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3.9W
Citations:
13.7W