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Alexander Aleksandrov
기하학 수리물리 연구단
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Refined open intersection numbers and the Kontsevich-Penner matrix model

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Title
Refined open intersection numbers and the Kontsevich-Penner matrix model
Author(s)
Alexander Alexandrov; Alexandr Buryak; Ran J. Tessler
Publication Date
2017-03
Journal
JOURNAL OF HIGH ENERGY PHYSICS, v.2017, no.3, pp.123 -
Publisher
SPRINGER
Abstract
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. (c) The Authors.
URI
https://pr.ibs.re.kr/handle/8788114/3444
ISSN
1029-8479
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
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