(2,0) theory on S5 × S1 and quantum M2 branes
The superconformal index Z of the 6d (2,0) theory on S5×S1 (which is related to the localization partition function of 5d SYM on S5) should be captured at large N by the quantum M2 brane theory in the dual M-theory background. Generalizing the type IIA string theory limit of this relation discussed...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-01-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321323003279 |
| _version_ | 1797526282581311488 |
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| author | M. Beccaria S. Giombi A.A. Tseytlin |
| author_facet | M. Beccaria S. Giombi A.A. Tseytlin |
| author_sort | M. Beccaria |
| collection | DOAJ |
| description | The superconformal index Z of the 6d (2,0) theory on S5×S1 (which is related to the localization partition function of 5d SYM on S5) should be captured at large N by the quantum M2 brane theory in the dual M-theory background. Generalizing the type IIA string theory limit of this relation discussed in arXiv:2111.15493 and arXiv:2304.12340, we consider semiclassically quantized M2 branes in a half-supersymmetric 11d background which is a twisted product of thermal AdS7 and S4. We show that the leading non-perturbative term at large N is reproduced precisely by the 1-loop partition function of an “instanton” M2 brane wrapped on S1×S2 with S2⊂S4. Similarly, the (2,0) theory analog of the BPS Wilson loop expectation value is reproduced by the partition function of a “defect” M2 brane wrapped on thermal AdS⊂3 AdS7. We comment on a curious analogy of these results with similar computations in arXiv:2303.15207 and arXiv:2307.14112 of the partition function of quantum M2 branes in AdS×4S7/Zk which reproduced the corresponding localization expressions in the ABJM 3d gauge theory. |
| first_indexed | 2024-03-10T09:27:03Z |
| format | Article |
| id | doaj.art-dac04fc6a3cf4b6c90cb50424f07e584 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-03-10T09:27:03Z |
| publishDate | 2024-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-dac04fc6a3cf4b6c90cb50424f07e5842023-11-22T04:46:47ZengElsevierNuclear Physics B0550-32132024-01-01998116400(2,0) theory on S5 × S1 and quantum M2 branesM. Beccaria0S. Giombi1A.A. Tseytlin2Università del Salento, Dipartimento di Matematica e Fisica Ennio De Giorgi, and I.N.F.N. - sezione di Lecce, Via Arnesano, I-73100 Lecce, ItalyDepartment of Physics, Princeton University, Princeton, NJ 08544, USABlackett Laboratory, Imperial College London SW7 2AZ, UK; Corresponding author.The superconformal index Z of the 6d (2,0) theory on S5×S1 (which is related to the localization partition function of 5d SYM on S5) should be captured at large N by the quantum M2 brane theory in the dual M-theory background. Generalizing the type IIA string theory limit of this relation discussed in arXiv:2111.15493 and arXiv:2304.12340, we consider semiclassically quantized M2 branes in a half-supersymmetric 11d background which is a twisted product of thermal AdS7 and S4. We show that the leading non-perturbative term at large N is reproduced precisely by the 1-loop partition function of an “instanton” M2 brane wrapped on S1×S2 with S2⊂S4. Similarly, the (2,0) theory analog of the BPS Wilson loop expectation value is reproduced by the partition function of a “defect” M2 brane wrapped on thermal AdS⊂3 AdS7. We comment on a curious analogy of these results with similar computations in arXiv:2303.15207 and arXiv:2307.14112 of the partition function of quantum M2 branes in AdS×4S7/Zk which reproduced the corresponding localization expressions in the ABJM 3d gauge theory.http://www.sciencedirect.com/science/article/pii/S0550321323003279 |
| spellingShingle | M. Beccaria S. Giombi A.A. Tseytlin (2,0) theory on S5 × S1 and quantum M2 branes Nuclear Physics B |
| title | (2,0) theory on S5 × S1 and quantum M2 branes |
| title_full | (2,0) theory on S5 × S1 and quantum M2 branes |
| title_fullStr | (2,0) theory on S5 × S1 and quantum M2 branes |
| title_full_unstemmed | (2,0) theory on S5 × S1 and quantum M2 branes |
| title_short | (2,0) theory on S5 × S1 and quantum M2 branes |
| title_sort | 2 0 theory on s5 s1 and quantum m2 branes |
| url | http://www.sciencedirect.com/science/article/pii/S0550321323003279 |
| work_keys_str_mv | AT mbeccaria 20theoryons5s1andquantumm2branes AT sgiombi 20theoryons5s1andquantumm2branes AT aatseytlin 20theoryons5s1andquantumm2branes |