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We derive major parts of the eigenvalue spectrum of the operators on the squashed seven-sphere that appear in the compactification of eleven-dimensional supergravity. These spectra determine the mass spectrum of the fields in $AdS_4$ and…

High Energy Physics - Theory · Physics 2022-01-05 Simon Ekhammar , Bengt E. W. Nilsson

We recall our work in the 1980s taking seriously the maximal eleven dimensions of supergravity, in particular the round, left squashed and right squashed $S^7$ compactifications to $D=4$ yielding $\mathcal N=8$, $\mathcal N=1$ and $\mathcal…

High Energy Physics - Theory · Physics 2025-02-12 M. J. Duff , B. E. W. Nilsson , C. N. Pope

This thesis analyses gauged supergravities in various dimensions and their possible origin from compactifications of string theory. In the effective description the fluxes appear in the theory as deformation parameters generating a…

High Energy Physics - Theory · Physics 2012-10-09 Giuseppe Dibitetto

In this thesis I review various aspects of the AdS_4/CFT_3 correspondence, where AdS_4 supergravity arises from compactification of M-theory on a coset space G/H and preserves N<8 supersymmetries. One focal point of my review is that the…

High Energy Physics - Theory · Physics 2007-05-23 Leonardo Gualtieri

We study Euclidean Romans supergravity in six dimensions with a non-trivial Abelian R-symmetry gauge field. We show that supersymmetric solutions are in one-to-one correspondence with solutions to a set of differential constraints on an…

High Energy Physics - Theory · Physics 2016-10-19 Luis F. Alday , Martin Fluder , Carolina M. Gregory , Paul Richmond , James Sparks

We study $\mathcal{N}=1$ supersymmetric AdS$_3 \times M_7$ backgrounds of Type IIB supergravity, with non-vanishing axio-dilaton, three-form and five-form fluxes, and a "strict" $SU(3)$-structure on $M_7$. We derive the necessary and…

High Energy Physics - Theory · Physics 2020-06-24 Achilleas Passias , Daniël Prins

We construct a new family of $\text{AdS}_2\times S^3\times S^2$ solutions to Type IIB supergravity arising as near-horizon geometries of D1-F1-D3-D5-NS5-D7 brane intersections preserving 4 supersymmetries. We show that a subclass of these…

High Energy Physics - Theory · Physics 2023-05-31 Yolanda Lozano , Nicolò Petri , Cristian Risco

Four-dimensional field equations are determined for perturbations of the quotient seven-sphere size and squashing parameter in eleven-dimensional supergravity. The quotient seven-sphere is a S^1-bundle over the CP^3 which is regarded as a…

High Energy Physics - Theory · Physics 2009-04-17 Changhyun Ahn

We construct a consistent Kaluza-Klein reduction of $D=11$ supergravity on $\Sigma_2\times S^4$, where $\Sigma_2=S^2,\mathbb{R}^2$ or $H^2$, or a quotient thereof, at the level of the bosonic fields. The result is a gauged $N=4$, $D=5$…

High Energy Physics - Theory · Physics 2020-01-08 K. C. Matthew Cheung , Jerome P. Gauntlett , Christopher Rosen

We couple n copies of N=(2,0) scalar multiplets to a gauged N=(2,0) supergravity in 2+1 dimensions which admits AdS_3 as a vacuum. The scalar fields are charged under the gauged R-symmetry group U(1) and parametrize certain Kahler manifolds…

High Energy Physics - Theory · Physics 2009-10-31 N. S. Deger , A. Kaya , E. Sezgin , P. Sundell

We derive a complete geometrical characterisation of a large class of $AdS_3$, $AdS_4$ and $AdS_5$ supersymmetric spacetimes in eleven-dimensional supergravity using G-structures. These are obtained as special cases of a class of…

High Energy Physics - Theory · Physics 2009-11-11 Jerome P. Gauntlett , Oisin A. P. Mac Conamhna , Toni Mateos , Daniel Waldram

Explicit formulae are given for the consistent truncation of massive type IIA supergravity on the six-sphere to the SU(3)--invariant sector of $D=4$ ${\cal N}=8$ supergravity with dyonic ISO(7) gauging. These formulae are then used to…

High Energy Physics - Theory · Physics 2016-07-19 Oscar Varela

We study supersymmetric solutions within seven-dimensional $N=2$ gauged supergravity coupled to three vector multiplets in seven dimensions. The gauged supergravity contains six vector fields that gauge the $SO(4)\sim SO(3)\times SO(3)$…

High Energy Physics - Theory · Physics 2018-10-17 Parinya Karndumri , Patharadanai Nuchino

We investigate supersymmetric solutions of minimal gauged supergravity in five dimensions, in the timelike class. We propose an ansatz based on a four-dimensional local orthotoric Kaehler metric and reduce the problem to a single…

High Energy Physics - Theory · Physics 2016-06-15 Davide Cassani , Jakob Lorenzen , Dario Martelli

We present a new compactification of chiral, N=2 ten-dimensional supergravity down to five dimensions and show that it corresponds to the N=2 supersymmetric critical point of five-dimensional, N=8 gauged supergravity found in [KPW]. This…

High Energy Physics - Theory · Physics 2009-10-31 Krzysztof Pilch , Nicholas P. Warner

We consider the d=3 N=8 SCFT dual to AdS_4\times S^7 when held at finite temperature and chemical potential with respect to a diagonal U(1)_R\subset SO(8) global symmetry and construct black brane solutions of D=11 supergravity that are…

High Energy Physics - Theory · Physics 2015-05-27 Aristomenis Donos , Jerome P. Gauntlett

We discuss the notion of generalised U-duality as a solution generating technique in supergravity. We demonstrate a method to take solutions of type IIA supergravity on a 3-sphere, with NSNS flux, to new solutions of 11-dimensional…

High Energy Physics - Theory · Physics 2022-05-24 Chris D. A. Blair , Sofia Zhidkova

We classify AdS$_3$ solutions preserving $\mathcal{N}=(8,0)$ supersymmetry in ten and eleven dimensions and find the local form of each of them. These include the AdS$_3\times$S$^6$ solution of \cite{Dibitetto:2018ftj} and the embeddings of…

High Energy Physics - Theory · Physics 2021-06-16 Andrea Legramandi , Gabriele Lo Monaco , Niall T. Macpherson

We construct supergravity solutions dual to the twisted field theories arising when M-theory membranes wrap holomorphic curves in Calabi-Yau n-folds. The solutions are constructed in an Abelian truncation of maximal D=4 gauged supergravity…

High Energy Physics - Theory · Physics 2009-11-07 Jerome P. Gauntlett , Nakwoo Kim , Stathis Pakis , Daniel Waldram

We address some issues related to the construction of general Kaluza-Klein (KK) ans\"atze for the compactification of a supergravity (sugra) theory on a sphere $S_m$. We first reproduce various ans\"atze for compactification to 7d from the…

High Energy Physics - Theory · Physics 2010-11-19 Horatiu Nastase , Diana Vaman