Higher Order Deformations of Complex Structures
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 va...
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| Datum: | 2015 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2015
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/147114 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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irk-123456789-1471142019-02-14T01:23:22Z Higher Order Deformations of Complex Structures D'Hoker, E. Phong, D.H. 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. 2015 Article 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. 1815-0659 2010 Mathematics Subject Classification: 32G05; 51M15; 51P05; 53Z05 DOI:10.3842/SIGMA.2015.047 http://dspace.nbuv.gov.ua/handle/123456789/147114 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 |
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. |
| format |
Article |
| author |
D'Hoker, E. Phong, D.H. |
| spellingShingle |
D'Hoker, E. Phong, D.H. Higher Order Deformations of Complex Structures Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
D'Hoker, E. Phong, D.H. |
| author_sort |
D'Hoker, E. |
| title |
Higher Order Deformations of Complex Structures |
| title_short |
Higher Order Deformations of Complex Structures |
| title_full |
Higher Order Deformations of Complex Structures |
| title_fullStr |
Higher Order Deformations of Complex Structures |
| title_full_unstemmed |
Higher Order Deformations of Complex Structures |
| title_sort |
higher order deformations of complex structures |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147114 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT dhokere higherorderdeformationsofcomplexstructures AT phongdh higherorderdeformationsofcomplexstructures |
| first_indexed |
2025-07-11T01:23:32Z |
| last_indexed |
2025-07-11T01:23:32Z |
| _version_ |
1837311736664817664 |