Curved space resolution of the singularity of fractional D3-branes on a conifold

被引:26
作者
Buchel, A [1 ]
Tseytlin, AA
机构
[1] Univ Calif Santa Barbara, Inst Theoret Phys, Santa Barbara, CA 93106 USA
[2] Ohio State Univ, Dept Phys, Columbus, OH 43210 USA
[3] Univ London Imperial Coll Sci Technol & Med, London SW7 2AZ, England
[4] PN Lebedev Phys Inst, Moscow 117924, Russia
来源
PHYSICAL REVIEW D | 2002年 / 65卷 / 08期
关键词
D O I
10.1103/PhysRevD.65.085019
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We construct a supergravity dual to the cascading SU(N+M)xSU(N) supersymmetric gauge theory (related to fractional D3-branes on a conifold according to Klebanov and co-workers) in the case when the three-space is compactified on S-3 and in the phase with unbroken chiral symmetry. The size of S-3 serves as an infrared cutoff on the gauge-theory dynamics. For a sufficiently large S-3 the dual supergravity background is expected to be nonsingular. We demonstrate that this is indeed the case: we find a smooth type IIB supergravity solution using a perturbation theory that is valid when the radius of S-3 is large. We consider also the case with the Euclidean world volume being S-4 instead of RxS(3), where the supergravity solution is again found to be regular. This "curved space" resolution of the singularity of the fractional D3-branes on the conifold solution is analogous to the one in the nonextremal (finite temperature) case discussed in our previous work.
引用
收藏
页码:850191 / 8501912
页数:12
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