Dolbeault Complex on S⁴\{·} and S⁶\{·} through Supersymmetric Glasses
S⁴ is not a complex manifold, but it is sufficient to remove one point to make it complex. Using supersymmetry methods, we show that the Dolbeault complex (involving the holomorphic exterior derivative ∂ and its Hermitian conjugate) can be perfectly well defined in this case. We calculate the spectr...
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| Дата: | 2011 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2011
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147990 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Dolbeault Complex on S⁴\{·} and S⁶\{·} through Supersymmetric Glasses / A.V. Smilga // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 17 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147990 |
|---|---|
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dspace |
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irk-123456789-1479902019-02-17T01:24:20Z Dolbeault Complex on S⁴\{·} and S⁶\{·} through Supersymmetric Glasses Smilga, A.V. S⁴ is not a complex manifold, but it is sufficient to remove one point to make it complex. Using supersymmetry methods, we show that the Dolbeault complex (involving the holomorphic exterior derivative ∂ and its Hermitian conjugate) can be perfectly well defined in this case. We calculate the spectrum of the Dolbeault Laplacian. It involves 3 bosonic zero modes such that the Dolbeault index on S⁴\{·} is equal to 3. 2011 Article Dolbeault Complex on S⁴\{·} and S⁶\{·} through Supersymmetric Glasses / A.V. Smilga // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 17 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 32C15; 53B35; 53Z05 http://dx.doi.org/10.3842/SIGMA.2011.105 http://dspace.nbuv.gov.ua/handle/123456789/147990 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
S⁴ is not a complex manifold, but it is sufficient to remove one point to make it complex. Using supersymmetry methods, we show that the Dolbeault complex (involving the holomorphic exterior derivative ∂ and its Hermitian conjugate) can be perfectly well defined in this case. We calculate the spectrum of the Dolbeault Laplacian. It involves 3 bosonic zero modes such that the Dolbeault index on S⁴\{·} is equal to 3. |
| format |
Article |
| author |
Smilga, A.V. |
| spellingShingle |
Smilga, A.V. Dolbeault Complex on S⁴\{·} and S⁶\{·} through Supersymmetric Glasses Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Smilga, A.V. |
| author_sort |
Smilga, A.V. |
| title |
Dolbeault Complex on S⁴\{·} and S⁶\{·} through Supersymmetric Glasses |
| title_short |
Dolbeault Complex on S⁴\{·} and S⁶\{·} through Supersymmetric Glasses |
| title_full |
Dolbeault Complex on S⁴\{·} and S⁶\{·} through Supersymmetric Glasses |
| title_fullStr |
Dolbeault Complex on S⁴\{·} and S⁶\{·} through Supersymmetric Glasses |
| title_full_unstemmed |
Dolbeault Complex on S⁴\{·} and S⁶\{·} through Supersymmetric Glasses |
| title_sort |
dolbeault complex on s⁴\{·} and s⁶\{·} through supersymmetric glasses |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147990 |
| citation_txt |
Dolbeault Complex on S⁴\{·} and S⁶\{·} through Supersymmetric Glasses / A.V. Smilga // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 17 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT smilgaav dolbeaultcomplexons4ands6throughsupersymmetricglasses |
| first_indexed |
2023-05-20T17:28:20Z |
| last_indexed |
2023-05-20T17:28:20Z |
| _version_ |
1796153378314649600 |