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Special geometry in hypermultiplets

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TLDR
In this paper, a detailed analysis of pairs of vector and hypermultiplet theories with N = 2 supersymmetry in four space-time dimensions that are related by the (classical) mirror map is given.
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This article is published in Nuclear Physics.The article was published on 1998-03-23 and is currently open access. It has received 60 citations till now. The article focuses on the topics: Symplectic geometry & Supersymmetry algebra.

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'Special geometry of Euclidean supersymmetry I: Vector multiplets'

TL;DR: In this article, the general action for abelian vector multiplets in rigid 4-dimensional euclidean = 2 supersymmetry was constructed and a mathematical theory of affine special para-K?hler geometry was developed.
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String loop corrected hypermultiplet moduli spaces

TL;DR: In this article, the string loop corrections to the hypermultiplet moduli space of type II strings compactified on a generic Calabi-Yau threefold were determined using constraints from supersymmetry and string perturbation theory.
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String loop corrections to the universal hypermultiplet

TL;DR: In this article, loop corrections to the universal dilaton supermultiplet for type IIA strings compactified on Calabi-Yau threefolds were studied and it was shown that the corresponding quaternionic kinetic terms receive non-trivial one-loop contributions proportional to the Euler number of the Calabi Yau manifold.
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Gauged locally supersymmetric D=3 nonlinear sigma models

TL;DR: In this article, the authors constructed supersymmetric deformations of general, locally superymmetric, nonlinear sigma models in three spacetime dimensions, by extending the pure supergravity theory with a Chern-Simons term and gauging a subgroup of the sigma model isometries, possibly augmented with R-symmetry transformations.
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Superconformal Hypermultiplets

TL;DR: In this paper, the Lagrangian and transformation rules for N = 2 hyper-Kahler manifolds are formulated in terms of a (4n)-dimensional hyper-kahler manifold.
References
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Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory

TL;DR: In this article, the authors studied the vacuum structure and spectrum of N = 2 supersymmetric gauge theory in four dimensions, with gauge group SU(2), and obtained exact formulas for electron and dyon masses and the metric on the moduli space of vacua.
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Monopoles, duality and chiral symmetry breaking in N=2 supersymmetric QCD

TL;DR: In this article, the authors studied four dimensional N = 2 supersymmetric gauge theories with matter multiplets and derived the exact metric on the moduli space of quantum vacua and the exact spectrum of the stable massive states.
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A Pair of Calabi-Yau manifolds as an exactly soluble superconformal theory

TL;DR: In this paper, the prepotentials and geometry of the moduli spaces for a Calabi-Yau manifold and its mirror were derived and all the sigma model corrections to the Yukawa couplings and moduli space metric were obtained.
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Type iib superstrings, bps monopoles, and three-dimensional gauge dynamics

TL;DR: In this article, the Coulomb branch of certain three-dimensional supersymmetric gauge theories and the moduli spaces of magnetic monopoles are explained via string theory, and new phase transitions in three dimensions as well as new infrared fixed points and even new coupling constants are predicted from the string theory construction.
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The SO(8) supergravity

TL;DR: In this paper, the SO(8) supergravity theory was derived by dimensional reduction of the super gravity theory in 11 dimensions to 4 dimensions, where the equations of motion are invariant under the global non-compact group E7(+7).
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