Perturbative search for fixed lines in large-N gauge theories

Anatoly Dymarsky, Igor R. Klebanov, Radu Roiban

Research output: Contribution to journalArticle

59 Citations (Scopus)

Abstract

The logarithmic running of marginal double-trace operators is a general feature of 4-d field theories containing scalar fields in the adjoint or bifundamental representation. Such operators provide leading contributions in the large-N limit; therefore, the leading terms in their beta functions must vanish for a theory to be large-N conformal. We calculate the one-loop beta functions in orbifolds of the N ≤ 4 SYM theory by a discrete subgroup Γ of the SU(4) R-symmetry, which are dual to string theory on AdS5 × S5/Γ. We present a general strategy for determining whether there is a fixed line passing through the origin of the coupling constant space. Then we study in detail some classes of non-supersymmetric orbifold theories. Among our examples, which include orbifolds acting freely on the S5, 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)333-360
Number of pages28
JournalJournal of High Energy Physics
Issue number8
DOIs
StatePublished - Aug 1 2005

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gauge theory
operators
subgroups
string theory
strings
condensation
scalars
symmetry

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Dymarsky, Anatoly ; Klebanov, Igor R. ; Roiban, Radu. / Perturbative search for fixed lines in large-N gauge theories. In: Journal of High Energy Physics. 2005 ; No. 8. pp. 333-360.
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Perturbative search for fixed lines in large-N gauge theories. / Dymarsky, Anatoly; Klebanov, Igor R.; Roiban, Radu.

In: Journal of High Energy Physics, No. 8, 01.08.2005, p. 333-360.

Research output: Contribution to journalArticle

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