Dual giant gravitons in Sasaki-Einstein backgrounds
We study the dynamics of a BPS D3-brane wrapped on a three-sphere in AdS5 × L, a so-called dual giant graviton, where L is a Sasakian five-manifold. The phase space of these configurations is the symplectic cone X over L, and geometric quantisation naturally produces a Hilbert space of L2-normalisab...
| Main Authors: | , |
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| Formato: | Journal article |
| Idioma: | English |
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2006
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| _version_ | 1826307233662631936 |
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| author | Martelli, D Sparks, J |
| author_facet | Martelli, D Sparks, J |
| author_sort | Martelli, D |
| collection | OXFORD |
| description | We study the dynamics of a BPS D3-brane wrapped on a three-sphere in AdS5 × L, a so-called dual giant graviton, where L is a Sasakian five-manifold. The phase space of these configurations is the symplectic cone X over L, and geometric quantisation naturally produces a Hilbert space of L2-normalisable holomorphic functions on X, whose states are dual to scalar chiral BPS operators in the dual superconformal field theory. We define classical and quantum partition functions and relate them to earlier mathematical constructions by the authors and S.-T. Yau, [D. Martelli, J. Sparks, S.-T. Yau, Sasaki-Einstein manifolds and volume minimisation, hep-th/0603021]. In particular, a Sasaki-Einstein metric then minimises an entropy function associated with the D3-brane. Finally, we introduce a grand canonical partition function that counts multiple dual giant gravitons. This is related simply to the index-character of the above reference, and provides a method for counting multi-trace scalar BPS operators in the dual superconformal field theory. © 2006 Elsevier B.V. All rights reserved. |
| first_indexed | 2024-03-07T06:59:51Z |
| format | Journal article |
| id | oxford-uuid:ff5b51f9-c966-4e4c-b531-04e38194add6 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:59:51Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:ff5b51f9-c966-4e4c-b531-04e38194add62022-03-27T13:44:19ZDual giant gravitons in Sasaki-Einstein backgroundsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ff5b51f9-c966-4e4c-b531-04e38194add6EnglishSymplectic Elements at Oxford2006Martelli, DSparks, JWe study the dynamics of a BPS D3-brane wrapped on a three-sphere in AdS5 × L, a so-called dual giant graviton, where L is a Sasakian five-manifold. The phase space of these configurations is the symplectic cone X over L, and geometric quantisation naturally produces a Hilbert space of L2-normalisable holomorphic functions on X, whose states are dual to scalar chiral BPS operators in the dual superconformal field theory. We define classical and quantum partition functions and relate them to earlier mathematical constructions by the authors and S.-T. Yau, [D. Martelli, J. Sparks, S.-T. Yau, Sasaki-Einstein manifolds and volume minimisation, hep-th/0603021]. In particular, a Sasaki-Einstein metric then minimises an entropy function associated with the D3-brane. Finally, we introduce a grand canonical partition function that counts multiple dual giant gravitons. This is related simply to the index-character of the above reference, and provides a method for counting multi-trace scalar BPS operators in the dual superconformal field theory. © 2006 Elsevier B.V. All rights reserved. |
| spellingShingle | Martelli, D Sparks, J Dual giant gravitons in Sasaki-Einstein backgrounds |
| title | Dual giant gravitons in Sasaki-Einstein backgrounds |
| title_full | Dual giant gravitons in Sasaki-Einstein backgrounds |
| title_fullStr | Dual giant gravitons in Sasaki-Einstein backgrounds |
| title_full_unstemmed | Dual giant gravitons in Sasaki-Einstein backgrounds |
| title_short | Dual giant gravitons in Sasaki-Einstein backgrounds |
| title_sort | dual giant gravitons in sasaki einstein backgrounds |
| work_keys_str_mv | AT martellid dualgiantgravitonsinsasakieinsteinbackgrounds AT sparksj dualgiantgravitonsinsasakieinsteinbackgrounds |