On explicit formulae of LMOV invariants

On explicit formulae of LMOV invariants

Abstract We started a program to study the open string integrality invariants (LMOV invariants) for toric Calabi-Yau 3-folds with Aganagic-Vafa brane (AV-brane) several years ago. This paper is devoted to the case of resolved conifold with one out AV-brane in any integer framing τ , which is the lar...

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Main Author: Shengmao Zhu
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Journal of High Energy Physics
Subjects:
Topological Strings
String Duality
Chern-Simons Theories
Online Access:http://link.springer.com/article/10.1007/JHEP10(2019)076
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spelling doaj-bf3a2e444a2340aead4c47bd171078112020-11-25T03:55:46ZengSpringerOpenJournal of High Energy Physics1029-84792019-10-0120191012810.1007/JHEP10(2019)076On explicit formulae of LMOV invariantsShengmao Zhu0Department of Mathematics, Zhejiang International Studies UniversityAbstract We started a program to study the open string integrality invariants (LMOV invariants) for toric Calabi-Yau 3-folds with Aganagic-Vafa brane (AV-brane) several years ago. This paper is devoted to the case of resolved conifold with one out AV-brane in any integer framing τ , which is the large N duality of Chern-Simons theory for a framed unknot with integer framing τ in S 3. By using the methods from string dualities, we compute several explicit formulae of the corresponding LMOV invariants for this special model, whose integrality properties have been proved in a separated paper [56].http://link.springer.com/article/10.1007/JHEP10(2019)076Topological StringsString DualityChern-Simons Theories
collection DOAJ
language English
format Article
sources DOAJ
author Shengmao Zhu
spellingShingle Shengmao Zhu
On explicit formulae of LMOV invariants
Journal of High Energy Physics
Topological Strings
String Duality
Chern-Simons Theories
author_facet Shengmao Zhu
author_sort Shengmao Zhu
title On explicit formulae of LMOV invariants
title_short On explicit formulae of LMOV invariants
title_full On explicit formulae of LMOV invariants
title_fullStr On explicit formulae of LMOV invariants
title_full_unstemmed On explicit formulae of LMOV invariants
title_sort on explicit formulae of lmov invariants
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2019-10-01
description Abstract We started a program to study the open string integrality invariants (LMOV invariants) for toric Calabi-Yau 3-folds with Aganagic-Vafa brane (AV-brane) several years ago. This paper is devoted to the case of resolved conifold with one out AV-brane in any integer framing τ , which is the large N duality of Chern-Simons theory for a framed unknot with integer framing τ in S 3. By using the methods from string dualities, we compute several explicit formulae of the corresponding LMOV invariants for this special model, whose integrality properties have been proved in a separated paper [56].
topic Topological Strings
String Duality
Chern-Simons Theories
url http://link.springer.com/article/10.1007/JHEP10(2019)076
work_keys_str_mv AT shengmaozhu onexplicitformulaeoflmovinvariants
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