TY - JOUR

T1 - Tachyon stabilization in the AdS/CFT correspondence

AU - Klebanov, Igor R.

N1 - Funding Information:
I am grateful to E. Silverstein, A. Tseytlin and especially J. Minahan for useful discussions and comments. This work was supported in part by the NSF grant PHY-9802484 and by the James S. McDonnell Foundation Grant No. 91-48.

PY - 1999

Y1 - 1999

N2 - We consider duality between type 0B string theory on AdS5 × S5 and the planar CFT on N electric D3-branes coincident with N magnetic D3-branes. It has been argued that this theory is stable up to a critical value of the 't Hooft coupling but is unstable beyond that point. We suggest that from the gauge theory point of view the development of instability is associated with singularity in the dimension of the operator corresponding to the tachyon field via the AdS/CFT map. Such singularities are common in large N theories because summation over planar graphs typically has a finite radius of convergence. Hence we expect transitions between stability and instability for string theories in AdS backgrounds that are dual to certain large N gauge theories: if there are tachyons for large AdS radius then they may be stabilized by reducing the radius below a critical value of order the string scale.

AB - We consider duality between type 0B string theory on AdS5 × S5 and the planar CFT on N electric D3-branes coincident with N magnetic D3-branes. It has been argued that this theory is stable up to a critical value of the 't Hooft coupling but is unstable beyond that point. We suggest that from the gauge theory point of view the development of instability is associated with singularity in the dimension of the operator corresponding to the tachyon field via the AdS/CFT map. Such singularities are common in large N theories because summation over planar graphs typically has a finite radius of convergence. Hence we expect transitions between stability and instability for string theories in AdS backgrounds that are dual to certain large N gauge theories: if there are tachyons for large AdS radius then they may be stabilized by reducing the radius below a critical value of order the string scale.

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U2 - 10.1016/S0370-2693(99)01084-9

DO - 10.1016/S0370-2693(99)01084-9

M3 - Article

AN - SCOPUS:0001219153

SN - 0370-2693

VL - 466

SP - 166

EP - 170

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 2-4

ER -