Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-06-22
Phys.Rev. D74 (2006) 045027
Physics
High Energy Physics
High Energy Physics - Theory
REVTeX4 v2: simple mistake in eq.(1) corrected. footnote 4 in v1 expanded in the main body. conflicting notations for the dila
Scientific paper
10.1103/PhysRevD.74.045027
The large $N$ reductions in gauge theories are identified with dimensional reductions with homogeneous distribution of the eigenvalues of the gauge field, and it is used to identify the corresponding closed string descriptions in the Maldacena duality. When one does not take the zero-radii limit, the large $N$ reductions are naturally extended to the equivalences between the gauge theories and the "generalized" reduced models, which naturally contain the notion of T-dual equivalence. In the dual gravitational description, T-duality relates two type IIB supergravity solutions, the near horizon geometry of D3-branes, and the near horizon geometry of D-instantons densely and homogeneously distributing on the dual torus. This is the holographic description of the generalized large $N$ reductions. A new technique for calculating correlation functions of local gauge invariant single trace operators from the reduced models is also given.
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