String Theory Seminar
Thursday, November 2, 2000, 4:30pm, 120 Physics
Igor Klebanov (Princeton University)
N=1 Gauge Theory and Warped Deformed Conifold
Abstract:- We revisit the singular IIB supergravity solution describing M fractional
3-branes on the conifold (hep-th/0002159). Its 5-form flux decreases,
which we explain by showing that the relevant N=1 SUSY SU(N+M) x SU(N)
gauge theory undergoes repeated Seiberg-duality transformations in which
N -> N-M. Far in the IR the gauge theory confines; its chiral
symmetry breaking removed the singularity of hep-th/0002159 by
deforming the conifold. We propose a non-singular pure-supergravity
background dual to the field theory on all scales, with small curvature
everywhere if the 't Hooft coupling (g_s M) is large.
In the UV it approaches that of hep-th/0002159, incorporating the
logarithmic flow of couplings. In the IR the deformation of the conifold
gives a geometrical realization of chiral symmetry breaking and confinement.
We suggest that pure N=1 Yang-Mills may be dual to strings propagating at
small (g_s M) on a warped deformed conifold. We note also that the
standard model itself may lie at the base of a duality cascade.
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