Refined open intersection numbers and the Kontsevich-Penner matrix model
| Autor: | Alexandr Buryak, Alexander Alexandrov, Ran J. Tessler |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics medicine.medical_specialty Pure mathematics Distribution (number theory) FOS: Physical sciences Boundary (topology) Topological Strings 01 natural sciences Matrix model symbols.namesake Intersection 0103 physical sciences FOS: Mathematics medicine Differential and Algebraic Geometry 010306 general physics Mathematical Physics Mathematics Intersection theory Matrix Models Conjecture 010308 nuclear & particles physics Riemann surface Integrable Hierarchies Mathematical Physics (math-ph) Moduli space High Energy Physics - Theory (hep-th) Mathematics - Symplectic Geometry symbols Symplectic Geometry (math.SG) |
| Zdroj: | Journal of High Energy Physics, 2017 (3) Journal of High Energy Physics |
| ISSN: | 1126-6708 1029-8479 |
| Popis: | A study of the intersection theory on the moduli space of Riemann surfaces with boundary was recently initiated in a work of R. Pandharipande, J.P. Solomon and the third author, where they introduced open intersection numbers in genus 0. Their construction was later generalized to all genera by J.P. Solomon and the third author. In this paper we consider a refinement of the open intersection numbers by distinguishing contributions from surfaces with different numbers of boundary components, and we calculate all these numbers. We then construct a matrix model for the generating series of the refined open intersection numbers and conjecture that it is equivalent to the Kontsevich-Penner matrix model. An evidence for the conjecture is presented. Another refinement of the open intersection numbers, which describes the distribution of the boundary marked points on the boundary components, is also discussed. Journal of High Energy Physics, 2017 (3) ISSN:1126-6708 ISSN:1029-8479 |
| Databáze: | OpenAIRE |
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