The large N limit of M2-branes on Lens spaces
We study the matrix model for N M2-branes wrapping a Lens space L(p; 1) = S 3=ℤ p. This arises from localization of the partition function of the ABJM theory, and has some novel features compared with the case of a three-sphere, including a sum over...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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2012
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| _version_ | 1797052746480746496 |
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| author | Alday, L Fluder, M Sparks, J |
| author_facet | Alday, L Fluder, M Sparks, J |
| author_sort | Alday, L |
| collection | OXFORD |
| description | We study the matrix model for N M2-branes wrapping a Lens space L(p; 1) = S 3=ℤ p. This arises from localization of the partition function of the ABJM theory, and has some novel features compared with the case of a three-sphere, including a sum over at connections and a potential that depends non-trivially on p. We study the matrix model both numerically and analytically in the large N limit, finding that a certain family of p flat connections give an equal dominant contribution. At large N we find the same eigenvalue distribution for all p, and show that the free energy is simply 1=p times the free energy on a three-sphere, in agreement with gravity dual expectations. © SISSA 2012. |
| first_indexed | 2024-03-06T18:34:59Z |
| format | Journal article |
| id | oxford-uuid:0aeae331-773d-4760-a808-011397d440b8 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:34:59Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:0aeae331-773d-4760-a808-011397d440b82022-03-26T09:26:34ZThe large N limit of M2-branes on Lens spacesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0aeae331-773d-4760-a808-011397d440b8EnglishSymplectic Elements at Oxford2012Alday, LFluder, MSparks, JWe study the matrix model for N M2-branes wrapping a Lens space L(p; 1) = S 3=ℤ p. This arises from localization of the partition function of the ABJM theory, and has some novel features compared with the case of a three-sphere, including a sum over at connections and a potential that depends non-trivially on p. We study the matrix model both numerically and analytically in the large N limit, finding that a certain family of p flat connections give an equal dominant contribution. At large N we find the same eigenvalue distribution for all p, and show that the free energy is simply 1=p times the free energy on a three-sphere, in agreement with gravity dual expectations. © SISSA 2012. |
| spellingShingle | Alday, L Fluder, M Sparks, J The large N limit of M2-branes on Lens spaces |
| title | The large N limit of M2-branes on Lens spaces |
| title_full | The large N limit of M2-branes on Lens spaces |
| title_fullStr | The large N limit of M2-branes on Lens spaces |
| title_full_unstemmed | The large N limit of M2-branes on Lens spaces |
| title_short | The large N limit of M2-branes on Lens spaces |
| title_sort | large n limit of m2 branes on lens spaces |
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