TY - JOUR
T1 - Perturbative search for fixed lines in large-N gauge theories
AU - Dymarsky, Anatoly
AU - Klebanov, Igor R.
AU - Roiban, Radu
PY - 2005/8/1
Y1 - 2005/8/1
N2 - 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.
AB - 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.
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U2 - 10.1088/1126-6708/2005/08/011
DO - 10.1088/1126-6708/2005/08/011
M3 - Article
AN - SCOPUS:24944520316
SN - 1029-8479
SP - 333
EP - 360
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 8
ER -