Lotte Hollands

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We show that various holomorphic quantities in supersymmetric gauge theories can be conveniently computed by configurations of D4-branes and D6branes. These D-branes intersect along a Riemann surface that is described by a holomorphic curve in a complex surface. The resulting I-brane carries twodimensional chiral fermions on its world-volume. This system(More)
In this article we continue our study of chiral fermions on a quantum curve. This system is embedded in string theory as an I-brane configuration, which consists of D4 and D6-branes intersecting along a holomorphic curve in a complex surface, together with a B-field. Mathematically, it is described by a holonomic D-module. Here we focus on spectral curves,(More)
Sensitivity analysis in most medical problems is a complex process involving repeated calculations that can be computationally cumbersome, and its results are only approximate. The authors present a linear program-based approach that reveals the optimum strategies in a decision problem when event probabilities are not known exactly but their value ranges(More)
We geometrically engineer N = 2 theories perturbed by a superpotential by adding 3-form flux with support at infinity to local Calabi-Yau geometries in type IIB. This allows us to apply the formalism of Ooguri, Ookouchi, and Park [arXiv:0704.3613] to demonstrate that, by tuning the flux at infinity, we can stabilize the dynamical complex structure moduli in(More)
A trip through the borderland between mathematics and physics The interaction between mathematics and physics is a recurring theme in this thesis. Physical intuition leads to new ideas and even new fields in mathematics, while mathematics helps in verifying conjectures and brings in novel techniques. The cover illustrates this with the mutualism between a(More)
Recently a prescription to compute the four-dimensional N = 2 superconformal index in the presence of certain BPS surface defects has been given. These surface defects are labelled by symmetric representations of SU(N). In the present paper we give a prescription to compute the superconformal index in the presence of surface defects labelled by arbitrary(More)
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