A Kähler Compatible Moyal Deformation of the First Heavenly Equation
We construct a noncommutative Kähler manifold based on a non-linear perturbation of Moyal integrable deformations of D=4 self-dual gravity. The deformed Kähler manifold preserves all the properties of the commutative one, and we obtain the associated noncommutative Kähler potential using the Moyal d...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2019 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2019
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/210222 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A Kähler Compatible Moyal Deformation of the First Heavenly Equation / M. Maceda, D. Martínez-Carbajal // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 43 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862615465257336832 |
|---|---|
| author | Maceda, M. Martínez-Carbajal, D. |
| author_facet | Maceda, M. Martínez-Carbajal, D. |
| citation_txt | A Kähler Compatible Moyal Deformation of the First Heavenly Equation / M. Maceda, D. Martínez-Carbajal // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 43 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We construct a noncommutative Kähler manifold based on a non-linear perturbation of Moyal integrable deformations of D=4 self-dual gravity. The deformed Kähler manifold preserves all the properties of the commutative one, and we obtain the associated noncommutative Kähler potential using the Moyal deformed gravity approach. We apply this construction to the Atiyah-Hitchin metric and its Kähler potential, which is useful in the description of interactions among magnetic monopoles at low energies.
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| first_indexed | 2025-12-07T21:24:47Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210222 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:24:47Z |
| publishDate | 2019 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Maceda, M. Martínez-Carbajal, D. 2025-12-04T13:01:15Z 2019 A Kähler Compatible Moyal Deformation of the First Heavenly Equation / M. Maceda, D. Martínez-Carbajal // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 43 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 37K10; 53C26; 53D55; 70H06; 83C20 arXiv: 1904.09323 https://nasplib.isofts.kiev.ua/handle/123456789/210222 https://doi.org/10.3842/SIGMA.2019.073 We construct a noncommutative Kähler manifold based on a non-linear perturbation of Moyal integrable deformations of D=4 self-dual gravity. The deformed Kähler manifold preserves all the properties of the commutative one, and we obtain the associated noncommutative Kähler potential using the Moyal deformed gravity approach. We apply this construction to the Atiyah-Hitchin metric and its Kähler potential, which is useful in the description of interactions among magnetic monopoles at low energies. The authors would like to thank the referees for their valuable remarks and suggestions to improve this work. D. Martínez-Carbajal acknowledges support from Universidad Autónoma Metropolitana (UAM, México). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Kähler Compatible Moyal Deformation of the First Heavenly Equation Article published earlier |
| spellingShingle | A Kähler Compatible Moyal Deformation of the First Heavenly Equation Maceda, M. Martínez-Carbajal, D. |
| title | A Kähler Compatible Moyal Deformation of the First Heavenly Equation |
| title_full | A Kähler Compatible Moyal Deformation of the First Heavenly Equation |
| title_fullStr | A Kähler Compatible Moyal Deformation of the First Heavenly Equation |
| title_full_unstemmed | A Kähler Compatible Moyal Deformation of the First Heavenly Equation |
| title_short | A Kähler Compatible Moyal Deformation of the First Heavenly Equation |
| title_sort | kähler compatible moyal deformation of the first heavenly equation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210222 |
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