q -Difference Kac-Schwarz Operators in Topological String Theory
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
q -Difference Kac-Schwarz Operators in Topological String Theory
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| Creator |
Takasaki, K.
Nakatsu, T. |
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| Description |
The perspective of Kac-Schwarz operators is introduced to the authors' previous work on the quantum mirror curves of topological string theory in strip geometry and closed topological vertex. Open string amplitudes on each leg of the web diagram of such geometry can be packed into a multi-variate generating function. This generating function turns out to be a tau function of the KP hierarchy. The tau function has a fermionic expression, from which one finds a vector |W⟩ in the fermionic Fock space that represents a point W of the Sato Grassmannian. |W⟩ is generated from the vacuum vector |0⟩ by an operator g on the Fock space. g determines an operator G on the space V=C((x)) of Laurent series in which W is realized as a linear subspace.
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| Date |
2019-02-18T16:34:02Z
2019-02-18T16:34:02Z 2017 |
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| Type |
Article
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| Identifier |
q -Difference Kac-Schwarz Operators in Topological String Theory / K. Takasaki, T. Nakatsu // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 67 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 37K10; 39A13; 81T30 DOI:10.3842/SIGMA.2017.009 http://dspace.nbuv.gov.ua/handle/123456789/148611 |
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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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