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Superconformal Chern-Simons theories and AdS(4)/CFT3 correspondence
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2008 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, no 9, 072- p.Article in journal (Refereed) Published
Abstract [en]

We discuss the N = 2 superspace formulation of the N = 8 superconformal Bagger-Lambert-Gustavsson theory, and of the N = 6 superconformal Aharony-Bergman-Jafferis-Maldacena U(N) x U(N) Chern-Simons theory. In particular, we prove the full SU(4)R-symmetry of the ABJM theory. We then consider orbifold projections of this theory that give non-chiral and chiral (U( N) x U(N))(n) superconformal quiver gauge theories. We argue that these theories are dual to certain AdS(4) x S-7/(Z(n) x Z (k$) over tilde) backgrounds of M-theory. We also study a SU(3) invariant mass term in the superpotential that makes the N = 8 theory flow to a N = 2 superconformal gauge theory with a sextic superpotential. We conjecture that this gauge theory is dual to the U(1)(R) x SU(3) invariant extremum of the N = 8 gauged supergravity, which was discovered by N. Warner 25 years ago and whose uplifting to 11 dimensions was found more recently.

Place, publisher, year, edition, pages
2008. no 9, 072- p.
Keyword [en]
AdS-CFT correspondence, M-theory, Chern-Simons theories
National Category
Physical Sciences
URN: urn:nbn:se:uu:diva-107856DOI: 10.1088/1126-6708/2008/09/072ISI: 000259699700065OAI: oai:DiVA.org:uu-107856DiVA: diva2:233340
Available from: 2009-08-31 Created: 2009-08-31 Last updated: 2009-09-01Bibliographically approved

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