Beta functions for double-trace couplings in orbifold gauge theories

A. Dymarsky, I. R. Klebanov, R. Roiban

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We summarize calculation of one-loop beta functions in orbifolds of the script = 4 SYM theory by a discrete subgroup Γ of the SU(4) R-symmetry, which are dual to string theory on AdS5 × S6/ Γ, and the general strategy for determining whether there is a fixed line passing through the origin of the coupling constant space. We emphasize the importance of decoupling the U(1) factors. We describe a class of non-supersymmetric field theories corresponding to orbifolds acting freely on the S5 which preserve some of its global symmetries. In this class we do not find any large N non-supersymmetric theories with fixed lines passing through the origin. Connection of these results with closed string tachyon condensation in AdS5 × S5/Γ is discussed.

Original languageEnglish
Pages (from-to)6278-6287
Number of pages10
JournalInternational Journal of Modern Physics A
Issue number27
StatePublished - Oct 30 2005

Bibliographical note

Funding Information:
The research of A. D. is supported in part by grant RFBR 04-02-16538 and the NSF Grant No. PHY-0243680. The research of I. R. K. is supported in part by the NSF Grant No. PHY-0243680. The research of R. R. is supported in part by the U.S.D.O.E. under co-operative research agreement DE-FC02-91ER40671. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the NSF.


  • CFT
  • Orbifold
  • Quiver Gauge Theory

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics


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