Niall T. Macpherson

Supersymmetry and non-Abelian T-duality in type II supergravity

We study the effect of T-duality on supersymmetry in the context of type II supergravity. For both U(1) Abelian and SU(2) non-Abelian T-duality, we demonstrate that the supersymmetry variations after T-duality are related to the variations before T-duality through the Kosmann spinorial Lie derivative, which vanishes when the Killing spinors are independent of the T-duality directions. As a byproduct of our analysis, we present closed expressions for SU(2) T-duality in a class of spacetimes with diagonal Bianchi IX symmetry and comment on specific examples of T-dual geometries, including a novel AdS3 geometry with large superconformal symmetry.

G-structures and flavouring non-abelian T-duality

A bstractWe examine non-Abelian T-duality on backgrounds preserving

Type IIB supergravity solutions with AdS5 from Abelian and non-Abelian T dualities

\mathcal{N}=1

Non-Abelian T-duality, G2-structure rotation and holographic duals of \mathcal{N} = 1 Chern-Simons theories

super- symmetry showing how backgrounds with SU(3)-structure are mapped to backgrounds with SU(2)-structure. We provide the transformation rules for the corresponding pure spinors. We use these techniques to construct new flavoured solutions of type IIA supergravity.

Dualising the baryonic branch: Dynamic SU(2) and confining backgrounds in IIA

A bstractWe present a large class of new backgrounds that are solutions of type IIB supergravity with a warped AdS5 factor, non-trivial axion-dilaton, B-field and three-form Ramond-Ramond flux but yet have no five-form flux. We obtain these solutions and many of their variations by judiciously applying non-Abelian and Abelian T-dualities, as well as coordinate shifts to AdS5 × X5 IIB supergravity solutions with X5 = S5, T1,1, Yp,q . We address a number of issues pertaining to charge quantization in the context of non-Abelian T-duality. We comment on some properties of the expected dual super conformal field theories by studying their CFT central charge holographically. We also use the structure of the supergravity Page charges, central charges and some probe branes to infer aspects of the dual super conformal field theories.

A new AdS 4/CFT 3 dual with extended SUSY and a spectral flow

A bstractA new dynamic SU(3)-structure solution in type-IIA is found by T-dualising a deformation of the Maldacena-Nastase solution along an SU(2) isometry. It is argued that this is dual to a quiver gauge theory with multiple Chern-Simons levels. A clear way of defining Chern-Simons levels in terms of Page charges is presented, which is also used to define a Chern-Simons term for the G2-structure analogue of Klebanov-Strassler, providing evidence of a cascade in both the ranks and levels of the dual quiver.

New type IIB backgrounds and aspects of their field theory duals

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 = 1 T N and related field theories.

A \( \mathcal{N}=2 \) supersymmetric AdS4 solution in M-theory with purely magnetic flux

A bstractWe construct a new AdS4 background in Type IIB supergravity by means of a non-Abelian T-duality transformation on the Type IIA dual of ABJM. The analysis of probe and particle-like branes suggests a dual CFT in which each of the gauge groups is doubled. A common feature of non-Abelian T-duality is that in the absence of any global information coming from String Theory it gives rise to non-compact dual backgrounds, with coordinates living in the Lie algebra of the Lie group involved in the dualization. In backgrounds with CFT duals this poses obvious problems to the CFTs. In this paper we show that for the new AdS4 background the gauge groups of the associated dual CFT undergo a spectral flow as the non-compact internal direction runs from 0 to infinity, which resembles Seiberg duality in N

Three-dimensional N=4 linear quivers and non-Abelian T-duals

\mathcal{N}