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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

Parallel to $\widetilde{\mathrm{SL}(2,\mathbb{R})}$-geometry fibering over the hyperbolic plane, we construct a geometry fibering over the Siegel upper half-space $\mathrm{Sp}(2n,\mathbb{R})\curvearrowright {\mathfrak{H}}_n$, and provide a…

Geometric Topology · Mathematics 2025-01-10 Qing Lan

We study aspects of emergent geometry for the case of orbifold superconformal field theories in four dimensions, where the orbifolds are abelian within the AdS/CFT proposal. In particular, we show that the realization of emergent geometry…

High Energy Physics - Theory · Physics 2008-11-26 David Berenstein , Randel Cotta

We present general results on generating $\text{AdS}_2$ solutions to Type II supergravity from $\text{AdS}_3$ solutions via U(1) and SL(2) T-dualities. We focus on a class of Type IIB solutions with small $\mathcal{N}=4$ supersymmetry, that…

High Energy Physics - Theory · Physics 2023-07-26 Andrea Conti , Yolanda Lozano , Niall T. Macpherson

The generalized Fierz identities are addressed in the K\"ahler-Atiyah bundle framework from the perspective of the equations governing constrained generalized Killing spinor fields. We explore the spin geometry in a Riemannian 8-manifold…

High Energy Physics - Theory · Physics 2025-07-25 D. Fabri Gonçalves , R. da Rocha

We construct a class of toric Kahler manifolds, M_4, of real dimension four, a subset of which corresponds to the Kahler bases of all known 5D asymptotically AdS_5 supersymmetric black-holes. In a certain limit, these Kahler spaces take the…

High Energy Physics - Theory · Physics 2009-11-11 Pau Figueras , Carlos A. R. Herdeiro , Filipe Paccetti Correia

We study the class of generalized Kerr-Schild (GKS) spacetimes in dimensions $n\geq 3$ and analyze their geometric and algebraic properties in a completely theory-independent setting. First, considering the case of a general null vector…

General Relativity and Quantum Cosmology · Physics 2025-03-07 Aravindhan Srinivasan

We study supersymmetric black holes in $AdS_4$ in the framework of four dimensional gauged $\N=2$ supergravity coupled to hypermultiplets. We derive the flow equations for a general electrically gauged theory where the gauge group is…

High Energy Physics - Theory · Physics 2015-06-15 Nick Halmagyi , Michela Petrini , Alberto Zaffaroni

D3-brane solutions of type IIB supergravity can be obtained by means a classical ansatz involving a harmonic warp factor and two summands, the first being the flat Minkowskian metric of the D3 brane world-sheet and the second a Ricci flat…

Mathematical Physics · Physics 2023-08-16 Ugo Bruzzo , Pietro Fré , Umar Shahzad , Mario Trigiante

We study a number of supersymmetric solutions in the form of $Mkw_3\times S^3$- and $AdS_3\times S^3$-sliced domain walls in the maximal gauged supergravity in seven dimensions. These solutions require non-vanishing three-form fluxes to…

High Energy Physics - Theory · Physics 2020-04-15 Parinya Karndumri , Patharadanai Nuchino

Combining the effects of fluxes and gaugino condensation in heterotic supergravity, we use a ten-dimensional approach to find a new class of four-dimensional supersymmetric AdS compactifications on almost-Hermitian manifolds of SU(3)…

High Energy Physics - Theory · Physics 2010-12-03 Andrew R. Frey , Matthew Lippert

We establish a precise correspondence between the giant graviton expansion of the superconformal index of field theories in $D\leq 4$, and the master volume formalism of Gauntlett, Martelli and Sparks (GMS) which determines the near horizon…

High Energy Physics - Theory · Physics 2025-11-04 Heng-Yu Chen , Nick Dorey , Sanefumi Moriyama , Rishi Mouland , Canberk Sanli

We mainly study real Klein-Gordon theory on Anti de Sitter spacetimes, and apply the General Boundary Formulation (GBF) of Quantum Theory in order to compute a radial S-matrix. We consider first the classical theory, giving a complete list…

Mathematical Physics · Physics 2016-06-10 Max Dohse

A class of $AdS_2\times \Sigma_2$, with $\Sigma_2$ being a two-sphere or a hyperbolic space, solutions within four-dimensional $N=4$ gauged supergravity coupled to three-vector multiplets with dyonic gauging is identified. The gauged…

High Energy Physics - Theory · Physics 2017-10-24 Parinya Karndumri

In this note we generalize the methods of [1][2][3] to 5-dimensional Riemannian manifolds M. We study the relations between the geometry of M and the number of solutions to a generalized Killing spinor equation obtained from a 5-dimensional…

High Energy Physics - Theory · Physics 2015-06-16 Yiwen Pan

In these lectures we review Generalized Complex Geometry and discuss two main applications to string theory: the description of supersymmetric flux compactifications and the supersymmetric embedding of D-branes. We start by reviewing…

High Energy Physics - Theory · Physics 2011-02-18 Paul Koerber

A class of conformally flat and asymptotically anti-de Sitter geometries involving profiles of scalar fields is studied from the point of view of gauged supergravity. The scalars involved in the solutions parameterise the SL(N,R)/SO(N)…

High Energy Physics - Theory · Physics 2009-09-17 M. Cvetic , S. S. Gubser , H. Lu , C. N. Pope

Motivated by gauged supergravities, we consider gravitational systems coupled to arbitrary numbers of fluxes and scalar fields. We show that simple ansatze for asymptotically AdS solutions in these systems fully determine the potential for…

High Energy Physics - Theory · Physics 2024-12-13 Rhucha Deshpande , Oleg Lunin

We propose a way to classify all supersymmetric configurations of D=11 supergravity using the G-structures defined by the Killing spinors. We show that the most general bosonic geometries admitting a Killing spinor have at least a local…

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

Through consistent Kaluza-Klein reduction, we construct 3D $\mathcal{N} =2$ gauged supergravities corresponding to twisted compactifications of M5-branes on a product of constant curvature Riemann surfaces, including K\"{a}hler-Einstein…

High Energy Physics - Theory · Physics 2016-04-07 Parinya Karndumri , Eoin Ó Colgáin