31 citations · 89 across the 12 of their papers we have counts for
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A class of locally inhomogeneous complete quaternionic Kähler manifolds
Vicente Cortés, Alejandro Gil-García, Arpan Saha
We prove that the one-loop deformation of any quaternionic Kähler manifold in the class of c-map spaces is locally inhomogeneous. As a corollary, we obtain that the full isometry g…
Hermitian structures on a class of quaternionic Kähler manifolds
V. Cortés, A. Saha, D. Thung
Any quaternionic Kähler manifold equipped with a Killing vector field with nowhere vanishing quaternionic moment map carries an integrable almo…
A Hyperkähler geometry associated to the BPS structure of the resolved conifold
Murad Alim, Arpan Saha, Iván Tulli
We associate to the resolved conifold an affine special Kähler (ASK) manifold of complex dimension 1, and an instanton corrected hyperkähler (HK) manifold of complex dimension 2. W…
Four-dimensional Einstein manifolds with Heisenberg symmetry
Vicente Cortés, Arpan Saha
We classify Einstein metrics on invariant under a four-dimensional group of isometries including a principal action of the Heisenberg group. The metrics are either R…
The c-map as a functor on certain variations of Hodge structure
Mauro Mantegazza, Arpan Saha
We give a new manifestly natural presentation of the supergravity c-map. We achieve this by giving a more explicit description of the correspondence between projective special Kähl…
Curvature of quaternionic Kähler manifolds with -symmetry
V. Cortés, A. Saha, D. Thung
We study the behavior of connections and curvature under the HK/QK correspondence, proving simple formulae expressing the Levi-Civita connection and Riemann curvature tensor on the…
Symmetries of quaternionic Kähler manifolds with -symmetry
V. Cortés, A. Saha, D. Thung
We study symmetry properties of quaternionic Kähler manifolds obtained by the HK/QK correspondence. To any Lie algebra of infinitesimal automorphisms of the initial…