### 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 AdS_{5} × S^{5}/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 S^{5}, 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 AdS_{5} × S^{5}/Γ is discussed.

Original language | English (US) |
---|---|

Pages (from-to) | 333-360 |

Number of pages | 28 |

Journal | Journal of High Energy Physics |

Issue number | 8 |

DOIs | |

State | Published - Aug 1 2005 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*, (8), 333-360. https://doi.org/10.1088/1126-6708/2005/08/011

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*Journal of High Energy Physics*, no. 8, pp. 333-360. https://doi.org/10.1088/1126-6708/2005/08/011

**Perturbative search for fixed lines in large-N gauge theories.** / Dymarsky, Anatoly; Klebanov, Igor R.; Roiban, Radu.

Research output: Contribution to journal › Article

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.

UR - http://www.scopus.com/inward/record.url?scp=24944520316&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=24944520316&partnerID=8YFLogxK

U2 - 10.1088/1126-6708/2005/08/011

DO - 10.1088/1126-6708/2005/08/011

M3 - Article

AN - SCOPUS:24944520316

SP - 333

EP - 360

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 8

ER -