### Abstract

We find an interesting connection between perturbative large N gauge theory and closed superstrings. The gauge theory in question is found on N D3-branes placed at the tip of the cone ℝ^{6}/Γ. In our previous work we showed that, when the orbifold group Γ breaks all supersymmetry, then typically the gauge theory is not conformal because of double-trace couplings whose one-loop beta functions do not possess real zeros. In this paper we observe a precise correspondence between the instabilities caused by the flow of these double-trace couplings and the presence of tachyons in the twisted sectors of type IIB theory on orbifolds ℝ^{3,1} × ℝ^{6}/Γ. For each twisted sectors that does not contain tachyons, we show that the corresponding double-trace coupling flows to a fixed point and does not cause an instability. However, whenever a twisted sector is tachyonic, we find that the corresponding one-loop beta function does not have a real zero, hence an instability is likely to exist in the gauge theory. We demonstrate explicitly the one-to-one correspondence between the regions of stability/instability in the space of charges under Γ that arise in the perturbative gauge theory and in the free string theory. Possible implications of this remarkably simple gauge/string correspondence are discussed.

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

Pages (from-to) | 937-958 |

Number of pages | 22 |

Journal | Journal of High Energy Physics |

Issue number | 11 |

DOIs | |

State | Published - Dec 1 2005 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*, (11), 937-958. https://doi.org/10.1088/1126-6708/2005/11/038

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*Journal of High Energy Physics*, no. 11, pp. 937-958. https://doi.org/10.1088/1126-6708/2005/11/038

**Perturbative gauge theory and closed string tachyons.** / Dymarsky, Anatoly; Klebanov, Igor R.; Roiban, Radu.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Perturbative gauge theory and closed string tachyons

AU - Dymarsky, Anatoly

AU - Klebanov, Igor R.

AU - Roiban, Radu

PY - 2005/12/1

Y1 - 2005/12/1

N2 - We find an interesting connection between perturbative large N gauge theory and closed superstrings. The gauge theory in question is found on N D3-branes placed at the tip of the cone ℝ6/Γ. In our previous work we showed that, when the orbifold group Γ breaks all supersymmetry, then typically the gauge theory is not conformal because of double-trace couplings whose one-loop beta functions do not possess real zeros. In this paper we observe a precise correspondence between the instabilities caused by the flow of these double-trace couplings and the presence of tachyons in the twisted sectors of type IIB theory on orbifolds ℝ3,1 × ℝ6/Γ. For each twisted sectors that does not contain tachyons, we show that the corresponding double-trace coupling flows to a fixed point and does not cause an instability. However, whenever a twisted sector is tachyonic, we find that the corresponding one-loop beta function does not have a real zero, hence an instability is likely to exist in the gauge theory. We demonstrate explicitly the one-to-one correspondence between the regions of stability/instability in the space of charges under Γ that arise in the perturbative gauge theory and in the free string theory. Possible implications of this remarkably simple gauge/string correspondence are discussed.

AB - We find an interesting connection between perturbative large N gauge theory and closed superstrings. The gauge theory in question is found on N D3-branes placed at the tip of the cone ℝ6/Γ. In our previous work we showed that, when the orbifold group Γ breaks all supersymmetry, then typically the gauge theory is not conformal because of double-trace couplings whose one-loop beta functions do not possess real zeros. In this paper we observe a precise correspondence between the instabilities caused by the flow of these double-trace couplings and the presence of tachyons in the twisted sectors of type IIB theory on orbifolds ℝ3,1 × ℝ6/Γ. For each twisted sectors that does not contain tachyons, we show that the corresponding double-trace coupling flows to a fixed point and does not cause an instability. However, whenever a twisted sector is tachyonic, we find that the corresponding one-loop beta function does not have a real zero, hence an instability is likely to exist in the gauge theory. We demonstrate explicitly the one-to-one correspondence between the regions of stability/instability in the space of charges under Γ that arise in the perturbative gauge theory and in the free string theory. Possible implications of this remarkably simple gauge/string correspondence are discussed.

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U2 - https://doi.org/10.1088/1126-6708/2005/11/038

DO - https://doi.org/10.1088/1126-6708/2005/11/038

M3 - Article

SP - 937

EP - 958

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 11

ER -