Change search
ReferencesLink to record
Permanent link

Direct link
Quantum symmetries and marginal deformations
Albert Einstein Inst, Max Planck Inst Gravitat Phys.
Univ Copenhagen, Niels Bohr Inst.
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
Abstract [en]

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.
Keyword [en]
Supersymmetric gauge theory, Quantum Groups, AdS-CFT Correspondence
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-28186DOI: 10.1007/JHEP10(2010)043ISI: 000284146800043ScopusID: 2-s2.0-78649689563OAI: diva2:385110
QC 20110111Available from: 2011-01-11 Created: 2011-01-10 Last updated: 2011-01-11Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Månsson, Teresia
In the same journal
Journal of High Energy Physics (JHEP)
Physical Sciences

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 12 hits
ReferencesLink to record
Permanent link

Direct link