310 citations · 716 across the 18 of their papers we have counts for
18 papers
Liouville Blocks from Spectral Networks
Lotte Hollands, Subrabalan Murugesan
This is part I of a series of papers in which we investigate the role of spectral networks in quantum Liouville theory, with particular emphasis on spectral networks of Fenchel-Nie…
Les Houches lectures on non-perturbative Seiberg-Witten geometry
Loïc Bramley, Lotte Hollands, Subrabalan Murugesan
In these lectures we detail the interplay between the low-energy dynamics of quantum field theories with four supercharges and the exact WKB analysis. This exposition may be the fi…
Quantum Curves, Resurgence and Exact WKB
Murad Alim, Lotte Hollands, Iván Tulli
We study the non-perturbative quantum geometry of the open and closed topological string on the resolved conifold and its mirror. Our tools are finite difference equations in the o…
A geometric recipe for twisted superpotentials
Lotte Hollands, Philipp Rüter, Richard J. Szabo
We give a pedagogical introduction to spectral networks and abelianization, as well as their relevance to supersymmetric field theories in four dimensions. Motivate…
Exact WKB and abelianization for the equation
Lotte Hollands, Andrew Neitzke
We describe the exact WKB method from the point of view of abelianization, both for Schrödinger operators and for their higher-order analogues (opers). The main new example which w…
BPS states in the Minahan-Nemeschansky theory
Qianyu Hao, Lotte Hollands, Andrew Neitzke
We use the method of spectral networks to calculate BPS degeneracies in the Minahan-Nemeschansky theory, as representations of the flavor symmetry. Our results provide…
Higher length-twist coordinates, generalized Heun's opers, and twisted superpotentials
Lotte Hollands, Omar Kidwai
In this paper we study a proposal of Nekrasov, Rosly and Shatashvili that describes the effective twisted superpotential obtained from a class S theory geometrically as a generatin…
The superconformal index and an elliptic algebra of surface defects
Mathew Bullimore, Martin Fluder, Lotte Hollands +1
In this paper we continue the study of the superconformal index of four-dimensional theories of class in the presence of surface defects. Our main res…
Spectral networks and Fenchel-Nielsen coordinates
Lotte Hollands, Andrew Neitzke
We explain that spectral networks are a unifying framework that incorporates both shear (Fock-Goncharov) and length-twist (Fenchel-Nielsen) coordinate systems on moduli spaces of f…
Surface defects, the superconformal index and q-deformed Yang-Mills
Luis F. Alday, Mathew Bullimore, Martin Fluder +1
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…
Towards a 4d/2d correspondence for Sicilian quivers
Lotte Hollands, Christoph A. Keller, Jaewon Song
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 punct…
From SO/Sp instantons to W-algebra blocks
Lotte Hollands, Christoph A. Keller, Jaewon Song
We study instanton partition functions for N=2 superconformal Sp(1) and SO(4) gauge theories. We find that they agree with the corresponding U(2) instanton partitions functions onl…
Vortex Counting and Lagrangian 3-manifolds
Tudor Dimofte, Sergei Gukov, Lotte Hollands
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 natura…
Topological Strings and Quantum Curves
Lotte Hollands
This thesis presents several new insights on the interface between mathematics and theoretical physics, with a central role for fermions on Riemann surfaces. First of all, the dual…
A Geometric Derivation of the Dyon Wall-Crossing Group
Miranda C. N. Cheng, Lotte Hollands
Recently, using supergravity analysis, a hyperbolic reflection group was found to underlie the structure of wall-crossing, or the discontinuous moduli dependence of the supersymmet…
Quantum Curves and D-Modules
Robbert Dijkgraaf, Lotte Hollands, Piotr Sułkowski
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-brane…
Nonsupersymmetric Flux Vacua and Perturbed N=2 Systems
Lotte Hollands, Joseph Marsano, Kyriakos Papadodimas +1
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 ap…
Supersymmetric Gauge Theories, Intersecting Branes and Free Fermions
Robbert Dijkgraaf, Lotte Hollands, Piotr Sulkowski +1
We show that various holomorphic quantities in supersymmetric gauge theories can be conveniently computed by configurations of D4-branes and D6-branes. These D-branes intersect alo…