Brane-Bulk Duality and Non-conformal Gauge Theories

We discuss non-conformal gauge theories from type IIB D3-branes embedded in orbifolded space-times. Such theories can be obtained by allowing some non-vanishing logarithmic twisted tadpoles. In certain cases with N = 0, 1 supersymmetry correlation functions in the planar limit are the same as in the parent N = 2 supersymmetric theories. In particular, the effective action in such theories perturbatively is not renormalized beyond one loop in the planar limit. In the N = 2 as well as such N = 0, 1 theories quantum corrections in the D3-brane gauge theories are encoded in the corresponding classical higher dimensional field theories whose actions contain the twisted fields with non-vanishing tadpoles. We argue that this duality can be extended to the non-perturbative level in the N = 2 theories. We give some evidence that this might also be the case for N = 0, 1 theories as well. Typeset using REVTEX E-mail: [email protected] E-mail: [email protected]