Brane-Bulk Duality and Non-conformal Gauge Theories

TL;DR

This paper explores the duality between non-conformal gauge theories from D3-branes in orbifolded spaces and their higher-dimensional classical field theory descriptions, highlighting cases with varying supersymmetry levels.

Contribution

It demonstrates that certain non-conformal gauge theories with N=0,1 supersymmetry can be described by classical higher-dimensional theories, extending the brane-bulk duality beyond conformal cases.

Findings

Correlation functions match in planar limit for N=0,1 theories

Effective actions are not renormalized beyond one loop in these theories

Duality extends to non-perturbative regimes in N=2 theories

Abstract

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.