Blobbed topological recursion

被引：7
|
作者：
Borot, G. [1 ]
机构：
[1] Max Planck Inst Math, D-53111 Bonn, Germany
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2015年 / 185卷 / 03期
关键词：
topological recursion; loop equation; intersection number; matrix model; INTERSECTION THEORY; HURWITZ NUMBERS; INVARIANTS; CURVES; EXPANSION; MODELS; PROOF;
D O I：
10.1007/s11232-015-0375-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We describe the formalism and the properties of the blobbed topological recursion, which provides the general solution of a set of abstract loop equations. This procedure extends the topological recursion by introducing extra terms (blobs) in the initial conditions for each multidifferential omega(g,n). We apply this formalism to topological expansion of formal Hermitian matrix models (the blobs are necessary to include arbitrary interactions) and pose some open questions.
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页码：1729 / 1740
页数：12
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