On the connection between 2d topological gravity and the reduced Hermitian matrix model
| Autor: | Jan Ambjørn, M. G. Harris, M. Weis |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 1997 |
| Předmět: |
Physics
High Energy Physics - Theory Nuclear and High Energy Physics Gravity (chemistry) Geodesic Zero (complex analysis) FOS: Physical sciences Topology Hermitian matrix Planar graph Connection (mathematics) symbols.namesake Matrix (mathematics) High Energy Physics::Theory General Relativity and Quantum Cosmology High Energy Physics - Theory (hep-th) Genus (mathematics) symbols lcsh:QC770-798 lcsh:Nuclear and particle physics. Atomic energy. Radioactivity |
| Zdroj: | Nuclear Physics B, Vol 504, Iss 1, Pp 482-510 (1997) |
| ISSN: | 0550-3213 |
| Popis: | We discuss how concepts such as geodesic length and the volume of space-time can appear in 2d topological gravity. We then construct a detailed mapping between the reduced Hermitian matrix model and 2d topological gravity at genus zero. This leads to a complete solution of the counting problem for planar graphs with vertices of even coordination number. The connection between multi-critical matrix models and multi-critical topological gravity at genus zero is studied in some detail. 29 pages, LaTeX |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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