Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-06-10
JHEP 1011:056,2010
Physics
High Energy Physics
High Energy Physics - Theory
Minor corrections
Scientific paper
10.1007/JHEP11(2010)056
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.
Kostov Ivan
Orantin Nicolas
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