Checks of integrality properties in topological strings
Abstract Tests of the integrality properties of a scalar operator in topological strings on a resolved conifold background or orientifold of conifold backgrounds have been performed for arborescent knots and some non-arborescent knots. The recent results on polynomials for those knots colored by SU(...
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doaj-3dc6b404700a49a38af3139f0223b48f2020-11-25T00:50:50ZengSpringerOpenJournal of High Energy Physics1029-84792017-08-012017814210.1007/JHEP08(2017)139Checks of integrality properties in topological stringsA. Mironov0A. Morozov1An. Morozov2P. Ramadevi3Vivek Kumar Singh4A. Sleptsov5Theory Department, Lebedev Physics InstituteITEPITEPDepartment of Physics, Indian Institute of Technology BombayDepartment of Physics, Indian Institute of Technology BombayITEPAbstract Tests of the integrality properties of a scalar operator in topological strings on a resolved conifold background or orientifold of conifold backgrounds have been performed for arborescent knots and some non-arborescent knots. The recent results on polynomials for those knots colored by SU(N ) and SO(N ) adjoint representations [1] are useful to verify Marino’s integrality conjecture up to two boxes in the Young diagram. In this paper, we review the salient aspects of the integrality properties and tabulate explicitly for an arborescent knot and a link. In our knotebook website, we have put these results for over 100 prime knots available in Rolfsen table and some links. The first application of the obtained results, an observation of the Gaussian distribution of the LMOV invariants is also reported.http://link.springer.com/article/10.1007/JHEP08(2017)139Chern-Simons TheoriesTopological Strings |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
A. Mironov A. Morozov An. Morozov P. Ramadevi Vivek Kumar Singh A. Sleptsov |
spellingShingle |
A. Mironov A. Morozov An. Morozov P. Ramadevi Vivek Kumar Singh A. Sleptsov Checks of integrality properties in topological strings Journal of High Energy Physics Chern-Simons Theories Topological Strings |
author_facet |
A. Mironov A. Morozov An. Morozov P. Ramadevi Vivek Kumar Singh A. Sleptsov |
author_sort |
A. Mironov |
title |
Checks of integrality properties in topological strings |
title_short |
Checks of integrality properties in topological strings |
title_full |
Checks of integrality properties in topological strings |
title_fullStr |
Checks of integrality properties in topological strings |
title_full_unstemmed |
Checks of integrality properties in topological strings |
title_sort |
checks of integrality properties in topological strings |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2017-08-01 |
description |
Abstract Tests of the integrality properties of a scalar operator in topological strings on a resolved conifold background or orientifold of conifold backgrounds have been performed for arborescent knots and some non-arborescent knots. The recent results on polynomials for those knots colored by SU(N ) and SO(N ) adjoint representations [1] are useful to verify Marino’s integrality conjecture up to two boxes in the Young diagram. In this paper, we review the salient aspects of the integrality properties and tabulate explicitly for an arborescent knot and a link. In our knotebook website, we have put these results for over 100 prime knots available in Rolfsen table and some links. The first application of the obtained results, an observation of the Gaussian distribution of the LMOV invariants is also reported. |
topic |
Chern-Simons Theories Topological Strings |
url |
http://link.springer.com/article/10.1007/JHEP08(2017)139 |
work_keys_str_mv |
AT amironov checksofintegralitypropertiesintopologicalstrings AT amorozov checksofintegralitypropertiesintopologicalstrings AT anmorozov checksofintegralitypropertiesintopologicalstrings AT pramadevi checksofintegralitypropertiesintopologicalstrings AT vivekkumarsingh checksofintegralitypropertiesintopologicalstrings AT asleptsov checksofintegralitypropertiesintopologicalstrings |
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