#### Filter Results:

- Full text PDF available (9)

#### Publication Year

1990

2013

- This year (0)
- Last 5 years (1)
- Last 10 years (8)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

To every 3-manifold M one can associate a two-dimensional N = (2, 2) supersymmetric field theory by compactifying five-dimensional N = 2 super-Yang-Mills theory on M . This system naturally appears in the study of half-BPS surface operators in four-dimensional N = 2 gauge theories on one hand, and in the geometric approach to knot homologies, on the other.… (More)

- Lotte Hollands, Piotr Sulkowski, Robbert Dijkgraaf, Piotr Su
- 2007

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)

- Lotte Hollands
- 2009

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)

- Celik Parkan, Lotte Hollands
- Medical decision making : an international…
- 1990

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)

Recently, using supergravity analysis, a hyperbolic reflection group was found to underlie the structure of wall-crossing, or the discontinuous moduli dependence of the supersymmetric index due to the presence of walls of marginal stability, of the BPS dyons in the N = 4, d = 4 compactification. In this paper we work in the regime where four-dimensional… (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)

- Lotte Hollands
- 2004

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)

- Luis F. Alday, Mathew Bullimore, Martin Fluder, Lotte Hollands
- 2013

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)

We study the 4d/2d AGT correspondence between four-dimensional instanton counting and two-dimensional conformal blocks for generalized SU(2) quiver gauge theories coming from punctured Gaiotto curves of arbitrary genus. We propose a conformal block description that corresponds to the elementary SU(2) trifundamental half-hypermultiplet, and check it against… (More)

- ‹
- 1
- ›