On String Integrability: A Journey through the Two-Dimensional Hidden Symmetries in the AdS/CFT Dualities
One of the main topics in the modern String Theory are the AdS/CFT dualities. Proving such conjectures is extremely difficult since the gauge and string theory perturbative regimes do not overlap. In this perspective, the d...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2010/471238 |
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| _version_ | 1849413838534868992 |
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| author | Valentina Giangreco Marotta Puletti |
| author_facet | Valentina Giangreco Marotta Puletti |
| author_sort | Valentina Giangreco Marotta Puletti |
| collection | DOAJ |
| description | One of the main
topics in the modern String Theory are the
AdS/CFT dualities. Proving such conjectures is
extremely difficult since the gauge and string
theory perturbative regimes do not
overlap. In this perspective, the discovery of infinitely many conserved charges, that is, the integrability,
in the planar AdS/CFT has allowed us to reach immense progresses in understanding
and confirming the duality. We review the fundamental concepts and properties of integrability
in two-dimensional σ-models and in the AdS/CFT context. The first part is focused on the
AdS5/CFT4 duality, especially the classical and quantum integrability of the type IIB superstring
on AdS5×S5 which is discussed in both pure spinor and Green-Schwarz formulations. The
second part is dedicated to the AdS4/CFT3 duality with particular attention to the type IIA
superstring on AdS4×ℂP3 and its integrability. This review is based on the author's PhD
thesis discussed at Uppsala University the 21st September 2009. |
| format | Article |
| id | doaj-art-67c30d2a8598464381e26d74b6fcedfc |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-67c30d2a8598464381e26d74b6fcedfc2025-08-20T03:34:01ZengWileyAdvances in High Energy Physics1687-73571687-73652010-01-01201010.1155/2010/471238471238On String Integrability: A Journey through the Two-Dimensional Hidden Symmetries in the AdS/CFT DualitiesValentina Giangreco Marotta Puletti0Nordic Institute for Theoretical Physics (NORDITA), Roslagstullsbacken 23, 10691 Stockholm, SwedenOne of the main topics in the modern String Theory are the AdS/CFT dualities. Proving such conjectures is extremely difficult since the gauge and string theory perturbative regimes do not overlap. In this perspective, the discovery of infinitely many conserved charges, that is, the integrability, in the planar AdS/CFT has allowed us to reach immense progresses in understanding and confirming the duality. We review the fundamental concepts and properties of integrability in two-dimensional σ-models and in the AdS/CFT context. The first part is focused on the AdS5/CFT4 duality, especially the classical and quantum integrability of the type IIB superstring on AdS5×S5 which is discussed in both pure spinor and Green-Schwarz formulations. The second part is dedicated to the AdS4/CFT3 duality with particular attention to the type IIA superstring on AdS4×ℂP3 and its integrability. This review is based on the author's PhD thesis discussed at Uppsala University the 21st September 2009.http://dx.doi.org/10.1155/2010/471238 |
| spellingShingle | Valentina Giangreco Marotta Puletti On String Integrability: A Journey through the Two-Dimensional Hidden Symmetries in the AdS/CFT Dualities Advances in High Energy Physics |
| title | On String Integrability: A Journey through the Two-Dimensional Hidden Symmetries in the AdS/CFT Dualities |
| title_full | On String Integrability: A Journey through the Two-Dimensional Hidden Symmetries in the AdS/CFT Dualities |
| title_fullStr | On String Integrability: A Journey through the Two-Dimensional Hidden Symmetries in the AdS/CFT Dualities |
| title_full_unstemmed | On String Integrability: A Journey through the Two-Dimensional Hidden Symmetries in the AdS/CFT Dualities |
| title_short | On String Integrability: A Journey through the Two-Dimensional Hidden Symmetries in the AdS/CFT Dualities |
| title_sort | on string integrability a journey through the two dimensional hidden symmetries in the ads cft dualities |
| url | http://dx.doi.org/10.1155/2010/471238 |
| work_keys_str_mv | AT valentinagiangrecomarottapuletti onstringintegrabilityajourneythroughthetwodimensionalhiddensymmetriesintheadscftdualities |