Nekrasov's Partition Function and Refined Donaldson-Thomas Theory: the Rank One Case
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Nekrasov's Partition Function and Refined Donaldson-Thomas Theory: the Rank One Case
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| Creator |
Szendrői, B.
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| Description |
This paper studies geometric engineering, in the simplest possible case of rank one (Abelian) gauge theory on the affine plane and the resolved conifold. We recall the identification between Nekrasov's partition function and a version of refined Donaldson-Thomas theory, and study the relationship between the underlying vector spaces. Using a purity result, we identify the vector space underlying refined Donaldson-Thomas theory on the conifold geometry as the exterior space of the space of polynomial functions on the affine plane, with the (Lefschetz) SL(2)-action on the threefold side being dual to the geometric SL(2)-action on the affine plane. We suggest that the exterior space should be a module for the (explicitly not yet known) cohomological Hall algebra (algebra of BPS states) of the conifold.
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| Date |
2019-02-18T17:35:14Z
2019-02-18T17:35:14Z 2012 |
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| Type |
Article
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| Identifier |
Nekrasov's Partition Function and Refined Donaldson-Thomas Theory: the Rank One Case / B. Szendrői // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 31 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 14J32 DOI: http://dx.doi.org/10.3842/SIGMA.2012.088 http://dspace.nbuv.gov.ua/handle/123456789/148654 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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