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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 1126-6708, E-ISSN 1029-8479, no 9, p. 072-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, p. 072-
Keyword [en]
AdS-CFT correspondence, M-theory, Chern-Simons theories
National Category
Physical Sciences
Identifiers
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: 2017-12-13Bibliographically approved

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