Classical and quantum integrability in AdS 2/CFT 1

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dc.contributor.authorMurugan, Jeff
dc.contributor.authorSundin, Per
dc.contributor.authorWulff, Linus
dc.date.accessioned2021-10-08T07:08:11Z
dc.date.available2021-10-08T07:08:11Z
dc.date.issued2013
dc.description.abstractWe investigate the type IIA string on AdS 2 × S 2 × T 6 supported by RR-flux which describes the gravitational side of the AdS 2/CFT 1 correspondence. While the four-dimensional part AdS 2 × S 2 can be realized as a supercoset, the full superstring has both coset and non-coset excitations, the latter giving rise to massless worldsheet modes, a somewhat novel feature in AdS/CFT. The string is nevertheless known to be integrable at the classical level. In this paper we perform several computations checking aspects of both classical and quantum string integrability. At the classical level we compute energies for the near BMN string and successfully match these against Bethe ansatz predictions. Furthermore, integrability dictates a magnon dispersion relation which we compare with the poles of loop corrected propagators, at both the one and two-loop level. At one loop, where only tadpole diagrams contribute, we find that the bosonic and fermionic contributions sum up to zero. Under the assumption of worldsheet supersymmetry, we then compute the two-loop sunset diagram in the near flat space limit. As in AdS 5 × S 5 we find that the result fits nicely into the sine-square structure of the dispersion relation.
dc.identifier.apacitationMurugan, J., Sundin, P., & Wulff, L. (2013). Classical and quantum integrability in AdS 2/CFT 1. <i>Journal of High Energy Physics</i>, 2013(1), 174 - 177. http://hdl.handle.net/11427/34519en_ZA
dc.identifier.chicagocitationMurugan, Jeff, Per Sundin, and Linus Wulff "Classical and quantum integrability in AdS 2/CFT 1." <i>Journal of High Energy Physics</i> 2013, 1. (2013): 174 - 177. http://hdl.handle.net/11427/34519en_ZA
dc.identifier.citationMurugan, J., Sundin, P. & Wulff, L. 2013. Classical and quantum integrability in AdS 2/CFT 1. <i>Journal of High Energy Physics.</i> 2013(1):174 - 177. http://hdl.handle.net/11427/34519en_ZA
dc.identifier.issn1029-8479
dc.identifier.issn1126-6708
dc.identifier.ris TY - Journal Article AU - Murugan, Jeff AU - Sundin, Per AU - Wulff, Linus AB - We investigate the type IIA string on AdS 2 × S 2 × T 6 supported by RR-flux which describes the gravitational side of the AdS 2/CFT 1 correspondence. While the four-dimensional part AdS 2 × S 2 can be realized as a supercoset, the full superstring has both coset and non-coset excitations, the latter giving rise to massless worldsheet modes, a somewhat novel feature in AdS/CFT. The string is nevertheless known to be integrable at the classical level. In this paper we perform several computations checking aspects of both classical and quantum string integrability. At the classical level we compute energies for the near BMN string and successfully match these against Bethe ansatz predictions. Furthermore, integrability dictates a magnon dispersion relation which we compare with the poles of loop corrected propagators, at both the one and two-loop level. At one loop, where only tadpole diagrams contribute, we find that the bosonic and fermionic contributions sum up to zero. Under the assumption of worldsheet supersymmetry, we then compute the two-loop sunset diagram in the near flat space limit. As in AdS 5 × S 5 we find that the result fits nicely into the sine-square structure of the dispersion relation. DA - 2013 DB - OpenUCT DP - University of Cape Town IS - 1 J1 - Journal of High Energy Physics LK - https://open.uct.ac.za PY - 2013 SM - 1029-8479 SM - 1126-6708 T1 - Classical and quantum integrability in AdS 2/CFT 1 TI - Classical and quantum integrability in AdS 2/CFT 1 UR - http://hdl.handle.net/11427/34519 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/34519
dc.identifier.vancouvercitationMurugan J, Sundin P, Wulff L. Classical and quantum integrability in AdS 2/CFT 1. Journal of High Energy Physics. 2013;2013(1):174 - 177. http://hdl.handle.net/11427/34519.en_ZA
dc.language.isoeng
dc.publisher.departmentDepartment of Mathematics and Applied Mathematics
dc.publisher.facultyFaculty of Science
dc.sourceJournal of High Energy Physics
dc.source.journalissue1
dc.source.journalvolume2013
dc.source.pagination174 - 177
dc.source.urihttps://dx.doi.org/10.1007/JHEP01(2013)047
dc.subject.otherSuperstrings and Heterotic Strings
dc.subject.otherAdS-CFT Correspondence
dc.subject.otherIntegrable Field Theories
dc.titleClassical and quantum integrability in AdS 2/CFT 1
dc.typeJournal Article
uct.type.publicationResearch
uct.type.resourceJournal Article
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