## 68 Citations

### Duality Rotations in Nonlinear Electrodynamics and in Extended Supergravity

- Mathematics
- 2008

We review the general theory of duality rotations which, in four dimensions, exchange electric with magnetic fields. Necessary and sufficient conditions in order for a theory to have duality symmetry…

### Supergravity: A Bestiary in Diverse Dimensions

- Geology, Physics
- 2013

Chapter 8 is a bestiary of Supergravity Special Geometries associated with its scalar sector. The chapter clarifies the codifying role of the scalar geometry in constructing the bosonic part of a…

### Special Kähler Manifolds

- Mathematics
- 1999

We give an intrinsic definition of the special geometry which arises in global supersymmetry. The base of an algebraic integrable system exhibits this geometry, and with an integrality hypothesis any…

### The many symmetries of Calabi–Yau compactifications

- Mathematics
- 2010

We review the major mathematical concepts involved in the dimensional reduction of D = 11 supergravity theory over a Calabi–Yau manifold with non-trivial complex structure moduli resulting in…

### Special Kähler Manifolds

- Mathematics
- 1997

Abstract:We give an intrinsic definition of the special geometry
which
arises in global N= 2 supersymmetry in four dimensions. The base of an algebraic integrable system exhibits this geometry, and…

### Topics in cubic special geometry

- Mathematics
- 2011

We reconsider the sub-leading quantum perturbative corrections to N=2 cubic special Kahler geometries. Imposing the invariance under axion-shifts, all such corrections (but the imaginary constant…

### U duality, solvable Lie algebras and extremal black holes

- Mathematics
- 1997

In this lecture I review recent results on the use of Solvable Lie Algebras as an efficient description of the scalar field sector of supergravities in relation with their non perturbative structure…

### Geometry and integrability in N=8 supersymmetric mechanics

- Mathematics, PhysicsPhysical Review D
- 2020

We construct the $\mathcal{N}=8$ supersymmetric mechanics with potential term whose configuration space is the special K\"ahler manifold of rigid type and show that it can be viewed as the K\"ahler…

## References

SHOWING 1-10 OF 85 REFERENCES

### Special and quaternionic isometries: General couplings in N = 2 supergravity and the scalar potential☆

- Mathematics
- 1991

### Special geometry without special coordinates

- Mathematics
- 1990

Presents a detailed geometric derivation of N=2, 4D supergravity coupled to Abelian vector multiplets (1,1/2,0). The theory is covariant under reparametrisations of the manifold M spanned by the…

### A search for non-perturbative dualities of local N = 2 Yang - Mills theories from Calabi - Yau 3-folds

- Mathematics
- 1995

The generalization of the rigid special geometry of the vector multiplet quantum moduli space to the case of supergravity is discussed through the notion of a dynamical Calabi - Yau 3-fold. Duality…

### A search for non-perturbative dualities of local N = 2 Yang - Mills theories from Calabi - Yau 3-folds

- Mathematics
- 1996

The generalization of the rigid special geometry of the vector multiplet quantum moduli space to the case of supergravity is discussed through the notion of a dynamical Calabi - Yau 3-fold. Duality…

### A generalization of the momentum mapping construction for quaternionic Kähler manifolds

- Mathematics
- 1987

We present a method of reduction of any quaternionic Kähler manifold with isometries to another quaternionic Kähler manifold in which the isometries are divided out. Our method is a generalization of…

### Picard-Fuchs Equations and Special Geometry

- Mathematics
- 1993

We investigate the system of holomorphic differential identities implied by special Kahlerian geometry of four-dimensional N=2 supergravity. For superstring compactifications on Calabi-Yau threefolds…