Dolbeault Complex on S⁴\{·} and S⁶\{·} through Supersymmetric Glasses
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Dolbeault Complex on S⁴\{·} and S⁶\{·} through Supersymmetric Glasses
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| Creator |
Smilga, A.V.
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| 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.
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| Date |
2019-02-16T12:45:52Z
2019-02-16T12:45:52Z 2011 |
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| Type |
Article
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| Identifier |
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 |
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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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