# N = 2 Supergravity in D = 4, 5, 6 Dimensions

@inproceedings{Lauria2020N2, title={N = 2 Supergravity in D = 4, 5, 6 Dimensions}, author={Edoardo Lauria and Antoine Van Proeyen}, year={2020} }

An overview of matter-coupled ${\cal N}=2$ supergravity theories with 8 real supercharges, in 4,5 and 6 dimensions is given. The construction of the theories by superconformal methods is explained from basic principles. Special geometry is obtained and characterized. The relation between the theories in those dimensions is discussed. This leads to the concepts of very special geometry and quaternionic-Kahler manifolds, whose structures are explained.

## 23 Citations

### Holographic line defects in D=4 , N=2 gauged supergravity

- Physics
- 2020

We construct solutions of four-dimensional $N=2$ gauged supergravity coupled to vector multiplets which are holographically dual to superconformal line defects. For the gauged STU and the…

### New Black Hole Solutions in N = 2 and N = 8 Gauged Supergravity

- Physics
- 2021

We review a special class of N=2 supergravity model that interpolates all the single-dilaton truncations of the maximal SO(8) gauged supergravity. We also provide explicit non-extremal, charged black…

### Covariant superspace approaches to ${\cal N}=2$ supergravity

- Physics
- 2022

We provide a unified description of the three covariant superspace approaches to N = 2 conformal supergravity in four dimensions: (i) conformal superspace; (ii) U(2) superspace; and (iii) SU(2)…

### Embedding of rank two supercharges in the superconformal algebra

- MathematicsJournal of Mathematical Physics
- 2022

We discuss an embedding of su( n) rank two antisymmetric supercharges in the su(2, 2| d n) superalgebra, where d n = n( n − 1)/2. We describe an algorithm to construct the explicit form of the…

### Squashing and supersymmetry enhancement in three dimensions

- PhysicsSciPost Physics
- 2022

We consider mass-deformed theories with
\mathcal{N}\geq2𝒩≥2
supersymmetry on round and squashed three-spheres. By embedding the
supersymmetric backgrounds in extended supergravity we show that at…

### The $$ \mathcal{N} $$ = 2 prepotential and the sphere free energy

- Physics, MathematicsJournal of High Energy Physics
- 2022

Abstract
We study the mass-deformed sphere free energy of three-dimensional $$ \mathcal{N} $$
N
= 2 superconformal field theories with holographic duals. Building on previous observations, we…

### Factorization of log-corrections in AdS4/CFT3 from supergravity localization

- Mathematics, PhysicsJournal of High Energy Physics
- 2021

We use the Atiyah-Singer index theorem to derive the general form of the one-loop corrections to observables in asymptotically anti-de Sitter (AdS4) supersymmetric backgrounds of abelian gauged…

### Flavor deformations and supersymmetry enhancement in $4d$ $\mathcal{N}=2$ theories

- MathematicsSciPost Physics
- 2022

We study \mathcal{N}=2𝒩=2
theories on four-dimensional manifolds that admit a Killing vector
vv
with isolated fixed points. It is possible to deform these theories by
coupling position-dependent…

### Exact holographic RG flows in extended SUGRA

- PhysicsJournal of High Energy Physics
- 2021

We present a family of exact planar hairy neutral black hole solutions in extended supergravity with Fayet-Iliopoulos (FI) terms. We consider a model where the magnetic part of FI sector vanishes and…

### Conformal field theories on deformed spheres, anomalies, and supersymmetry

- Physics
- 2020

We study the free energy of four-dimensional CFTs on deformed spheres. For generic nonsupersymmetric CFTs only the coefficient of the logarithmic divergence in the free energy is physical, which is…

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