Beta functions for double-trace couplings in orbifold gauge theories

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

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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 (US)
Pages (from-to)6278-6287
Number of pages10
JournalInternational Journal of Modern Physics A
Volume20
Issue number27
DOIs
StatePublished - Oct 30 2005

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gauge theory
symmetry
subgroups
string theory
decoupling
strings
condensation

All Science Journal Classification (ASJC) codes

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

Cite this

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Beta functions for double-trace couplings in orbifold gauge theories. / Dymarsky, A.; Klebanov, I. R.; Roiban, R.

In: International Journal of Modern Physics A, Vol. 20, No. 27, 30.10.2005, p. 6278-6287.

Research output: Contribution to journalArticle

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AB - 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.

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