Dolbeault Complex on S⁴\{·} and S⁶\{·} through Supersymmetric Glasses

dc.contributor.author	Smilga, A.V.
dc.date.accessioned	2019-02-16T12:45:52Z
dc.date.available	2019-02-16T12:45:52Z
dc.date.issued	2011
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 32C15; 53B35; 53Z05
dc.identifier.other	http://dx.doi.org/10.3842/SIGMA.2011.105
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147990
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	I am indebted to G. Carron, E. Ivanov, and V. Roubtsov for useful discussions.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Dolbeault Complex on S⁴\{·} and S⁶\{·} through Supersymmetric Glasses	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA