One-loop corrections to type IIA string theory in AdS 4 *CP 3
We study various methods for computing the one-loop correction to the energy of classical solutions to type IIA string theory in AdS 4×CP 3. This involves computing the spectrum of fluctuations and then adding up the fluctuation frequencies. We focus on two classical solutions with support in CP 3:...
| Principais autores: | , |
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| Formato: | Journal article |
| Idioma: | English |
| Publicado em: |
2010
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| _version_ | 1826284004391780352 |
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| author | Bandres, M Lipstein, A |
| author_facet | Bandres, M Lipstein, A |
| author_sort | Bandres, M |
| collection | OXFORD |
| description | We study various methods for computing the one-loop correction to the energy of classical solutions to type IIA string theory in AdS 4×CP 3. This involves computing the spectrum of fluctuations and then adding up the fluctuation frequencies. We focus on two classical solutions with support in CP 3: A rotating point-particle and a circular spinning string with two angular momenta equal to J. For each of these solutions, we compute the spectrum of fluctuations using two techniques, known as the algebraic curve approach and the world-sheet approach. If we use the same prescription for adding fluctuation frequencies that was used for type IIB string theory in AdS 5×S 5, then we find that the world-sheet spectrum gives convergent one-loop corrections but the algebraic curve spectrum gives divergent ones. On the other hand, we find a new summation prescription which gives finite results when applied to both the algebraic curve and world-sheet spectra. Naively, this gives three predictions for the one-loop correction to the spinning string energy (one from the algebraic curve and two from the world-sheet), however we find that in the large-J limit (where J = J= 2φ 2λ), the J -2n terms in all three cases agree. We therefore obtain a unique prediction for the one-loop correction to the spinning string energy. © SISSA 2010. |
| first_indexed | 2024-03-07T01:07:20Z |
| format | Journal article |
| id | oxford-uuid:8bcf838d-bc01-4d05-8f9e-2f4d0a7f4fd1 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:07:20Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:8bcf838d-bc01-4d05-8f9e-2f4d0a7f4fd12022-03-26T22:40:25ZOne-loop corrections to type IIA string theory in AdS 4 *CP 3 Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8bcf838d-bc01-4d05-8f9e-2f4d0a7f4fd1EnglishSymplectic Elements at Oxford2010Bandres, MLipstein, AWe study various methods for computing the one-loop correction to the energy of classical solutions to type IIA string theory in AdS 4×CP 3. This involves computing the spectrum of fluctuations and then adding up the fluctuation frequencies. We focus on two classical solutions with support in CP 3: A rotating point-particle and a circular spinning string with two angular momenta equal to J. For each of these solutions, we compute the spectrum of fluctuations using two techniques, known as the algebraic curve approach and the world-sheet approach. If we use the same prescription for adding fluctuation frequencies that was used for type IIB string theory in AdS 5×S 5, then we find that the world-sheet spectrum gives convergent one-loop corrections but the algebraic curve spectrum gives divergent ones. On the other hand, we find a new summation prescription which gives finite results when applied to both the algebraic curve and world-sheet spectra. Naively, this gives three predictions for the one-loop correction to the spinning string energy (one from the algebraic curve and two from the world-sheet), however we find that in the large-J limit (where J = J= 2φ 2λ), the J -2n terms in all three cases agree. We therefore obtain a unique prediction for the one-loop correction to the spinning string energy. © SISSA 2010. |
| spellingShingle | Bandres, M Lipstein, A One-loop corrections to type IIA string theory in AdS 4 *CP 3 |
| title | One-loop corrections to type IIA string theory in AdS 4 *CP 3 |
| title_full | One-loop corrections to type IIA string theory in AdS 4 *CP 3 |
| title_fullStr | One-loop corrections to type IIA string theory in AdS 4 *CP 3 |
| title_full_unstemmed | One-loop corrections to type IIA string theory in AdS 4 *CP 3 |
| title_short | One-loop corrections to type IIA string theory in AdS 4 *CP 3 |
| title_sort | one loop corrections to type iia string theory in ads 4 cp 3 |
| work_keys_str_mv | AT bandresm oneloopcorrectionstotypeiiastringtheoryinads4cp3 AT lipsteina oneloopcorrectionstotypeiiastringtheoryinads4cp3 |