Abstract
In this paper we construct and examine new supersymmetric solutions of massive IIA supergravity that are obtained using non-Abelian T-duality applied to the baryonic branch of the Klebanov–Strassler background. The geometries display SU(2) structure which we show flows from static in the UV to dynamic in the IR. Confinement and symmetry breaking are given a geometrical interpretation by this change of structure. Various field theory observables are studied, suggesting possible ways to break conformality and flow in N=1TN and related field theories.
Highlights
General Idea Of This PaperThe notion of duality is quite old, going back to well-known examples like the Maxwell equations in vacuum
There is a smooth solution of the equations of motion of Type IIB supergravity, that describes the strong dynamics of this field theory, including the spontaneous breaking of the U(1)B symmetry [21], [22]
For further details on the geometry and physics implied by this ‘scaling of forms’, we refer the reader to the original papers [25] and [24]
Summary
The notion of duality is quite old, going back to well-known examples like the Maxwell equations in vacuum. We will use non-Abelian T-duality as a technique to generate new solutions to the equations of motion of Type II supergravity. All of our backgrounds will be smooth and minimal supersymmetry in four dimensions (four supercharges) will be preserved These new solutions will admit a description in terms of G-structures and we will explain how certain field theoretical phenonomena, like confinement and symmetry breaking are encoded in generic changes of the G-structure. The system on which we will focus our study is the Baryonic Branch of the KlebanovStrassler field theory [20], [21], [22] This is perhaps, among the minimally SUSY examples known at the moment, the one that better passed test of the correspondence between geometry and (strongly coupled) field theoretical aspects. A number of technical and useful appendixes complement our presentation
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