Quantum symmetries and marginal deformations
2010 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 10, 043- p.Article in journal (Refereed) Published
We study the symmetries of the N = 1 exactly marginal deformations of N = 4 Super Yang-Mills theory. For generic values of the parameters, these deformations are known to break the SU(3) part of the R-symmetry group down to a discrete subgroup. However, a closer look from the perspective of quantum groups reveals that the Lagrangian is in fact invariant under a certain Hopf algebra which is a non-standard quantum deformation of the algebra of functions on SU(3). Our discussion is motivated by the desire to better understand why these theories have significant differences from N = 4 SYM regarding the planar integrability (or rather lack thereof) of the spin chains encoding their spectrum. However, our construction works at the level of the classical Lagrangian, without relying on the language of spin chains. Our approach might eventually provide a better understanding of the finiteness properties of these theories as well as help in the construction of their AdS/CFT duals.
Place, publisher, year, edition, pages
2010. no 10, 043- p.
Supersymmetric gauge theory, Quantum Groups, AdS-CFT Correspondence
IdentifiersURN: urn:nbn:se:kth:diva-28186DOI: 10.1007/JHEP10(2010)043ISI: 000284146800043ScopusID: 2-s2.0-78649689563OAI: oai:DiVA.org:kth-28186DiVA: diva2:385110
QC 201101112011-01-112011-01-102011-01-11Bibliographically approved