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Alexander Aleksandrov
기하학 수리물리 연구단
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Open intersection numbers and free fields

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Title
Open intersection numbers and free fields
Author(s)
Alexander Alexandrov
Publication Date
2017-09
Journal
NUCLEAR PHYSICS B, v.922, no., pp.247 - 263
Publisher
ELSEVIER SCIENCE BV
Abstract
A complete set of the Virasoro and W-constraints for the Kontsevich–Penner model, which conjecturally describes intersections on moduli spaces of open curves, was derived in our previous work. Here we show that these constraints can be described in terms of free bosonic fields with twisted boundary conditions, which gives a modification of the well-known construction of the W(3) algebra in conformal field theory. This description is natural from the point of view of the spectral curve description, and should serve as a new important ingredient of the topological recursion/Givental decomposition. ©2017 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license
URI
http://pr.ibs.re.kr/handle/8788114/3999
DOI
10.1016/j.nuclphysb.2017.06.019
ISSN
0550-3213
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
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