Higher Order Deformations of Complex Structures

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік
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dc.contributor.author	D'Hoker, E.
dc.contributor.author	Phong, D.H.
dc.date.accessioned	2019-02-13T16:53:34Z
dc.date.available	2019-02-13T16:53:34Z
dc.date.issued	2015
dc.identifier.citation	Higher Order Deformations of Complex Structures / E. D'Hoker, D.H. Phong // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 19 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 32G05; 51M15; 51P05; 53Z05
dc.identifier.other	DOI:10.3842/SIGMA.2015.047
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147114
dc.description.abstract	Deformations of complex structures by finite Beltrami differentials are considered on general Riemann surfaces. Exact formulas to any fixed order are derived for the corresponding deformations of the period matrix, Green's functions, and correlation functions in conformal field theories with vanishing total central charge. The stress tensor is shown to give a simple representation of these deformations valid to all orders. Such deformation formulas naturally enter into the evaluation of superstring amplitudes at two-loop order with Ramond punctures, and at higher loop order, in the supergravity formulation of the RNS superstring.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Exact Solvability and Symmetry Avatars in honour of Luc Vinet. The full collection is available at http://www.emis.de/journals/SIGMA/ESSA2014.html. We would like to acknowledge the organizers, Decio Levi, Willard Miller, Yvan Saint-Aubin, and Pavel Winternitz for inviting us to the enjoyable conference and celebration in honor of Luc Vinet at the Centre de Recherches Math´ematiques. We would also like to thank the referees for their very careful reading of the paper. This research was supported in part by the National Science Foundation grants PHY-13-13986 and DMS-12-66033.	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	Higher Order Deformations of Complex Structures	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA