CFT and topological recursion
Jun, 201028 pages
Published in:
- JHEP 11 (2010) 056
e-Print:
- 1006.2028 [hep-th]
Report number:
- IPHT-T10-077,
- CERN-PH-TH-2010-128
Citations per year
Abstract: (arXiv)
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.- field theory: conformal
- expansion: semiclassical
- expansion 1/N: U(N)
- Riemann surface
- symplectic
- invariance: conformal
- operator: Virasoro
- constraint: Virasoro
- moduli
- scaling
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