Beyond the planar limit in ABJM

Simple item page
dc.contributor.authorde Mello Koch, Robert
dc.contributor.authorMohammed, Badr Awad Elseid
dc.contributor.authorMurugan, Jeff
dc.contributor.authorPrinsloo, Andrea
dc.date.accessioned2021-10-08T07:08:10Z
dc.date.available2021-10-08T07:08:10Z
dc.date.issued2012
dc.description.abstractIn this article we consider gauge theories with a U(N) × U(N) gauge group. We provide, for the first time, a complete set of operators built from scalar fields that are in the bi-fundamental of the two groups. Our operators diagonalize the two point function of the free field theory at all orders in 1/N. We then use this basis to investigate nonplanar anomalous dimensions in the ABJM theory. We show that the dilatation operator reduces to a set of decoupled harmonic oscillators, signaling integrability in a large N but non-planar limit of the theory.
dc.identifier.apacitationde Mello Koch, R., Mohammed, B. A. E., Murugan, J., & Prinsloo, A. (2012). Beyond the planar limit in ABJM. <i>Journal of High Energy Physics</i>, 2012(5), 174 - 177. http://hdl.handle.net/11427/34518en_ZA
dc.identifier.chicagocitationde Mello Koch, Robert, Badr Awad Elseid Mohammed, Jeff Murugan, and Andrea Prinsloo "Beyond the planar limit in ABJM." <i>Journal of High Energy Physics</i> 2012, 5. (2012): 174 - 177. http://hdl.handle.net/11427/34518en_ZA
dc.identifier.citationde Mello Koch, R., Mohammed, B.A.E., Murugan, J. & Prinsloo, A. 2012. Beyond the planar limit in ABJM. <i>Journal of High Energy Physics.</i> 2012(5):174 - 177. http://hdl.handle.net/11427/34518en_ZA
dc.identifier.issn1029-8479
dc.identifier.issn1126-6708
dc.identifier.ris TY - Journal Article AU - de Mello Koch, Robert AU - Mohammed, Badr Awad Elseid AU - Murugan, Jeff AU - Prinsloo, Andrea AB - In this article we consider gauge theories with a U(N) × U(N) gauge group. We provide, for the first time, a complete set of operators built from scalar fields that are in the bi-fundamental of the two groups. Our operators diagonalize the two point function of the free field theory at all orders in 1/N. We then use this basis to investigate nonplanar anomalous dimensions in the ABJM theory. We show that the dilatation operator reduces to a set of decoupled harmonic oscillators, signaling integrability in a large N but non-planar limit of the theory. DA - 2012 DB - OpenUCT DP - University of Cape Town IS - 5 J1 - Journal of High Energy Physics LK - https://open.uct.ac.za PY - 2012 SM - 1029-8479 SM - 1126-6708 T1 - Beyond the planar limit in ABJM TI - Beyond the planar limit in ABJM UR - http://hdl.handle.net/11427/34518 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/34518
dc.identifier.vancouvercitationde Mello Koch R, Mohammed BAE, Murugan J, Prinsloo A. Beyond the planar limit in ABJM. Journal of High Energy Physics. 2012;2012(5):174 - 177. http://hdl.handle.net/11427/34518.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.journalissue5
dc.source.journalvolume2012
dc.source.pagination174 - 177
dc.source.urihttps://dx.doi.org/10.1007/JHEP05(2012)037
dc.subject.otherGauge-gravity correspondence
dc.subject.otherD-branes
dc.subject.otherAdS-CFT Correspondence
dc.subject.other1/N Expansion This has no right PDF
dc.titleBeyond the planar limit in ABJM
dc.typeJournal Article
uct.type.publicationResearch
uct.type.resourceJournal Article
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
deMelloKochRobert_Beyond_planar_l_2012.pdf
Size:
593.88 KB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Journal Articles