Publications (59)
Integral iterations for harmonic maps
Andrew Neitzke
We study minimal harmonic maps , parameterized by polynomial cubic differentials in the plane. The asymptotic structure…
Spectral Networks and Snakes
Davide Gaiotto, Gregory W. Moore, Andrew Neitzke
We apply and illustrate the techniques of spectral networks in a large collection of A_{K-1} theories of class S, which we call "lifted A_1 theories." Our construction makes contac…
The quantum UV-IR map for line defects in -type class theories
Andrew Neitzke, Fei Yan
We consider the quantum UV-IR map for line defects in class theories of -type. This map computes the protected spin character which counts framed BPS states w…
Wall-crossing, Hitchin Systems, and the WKB Approximation
Davide Gaiotto, Gregory W. Moore, Andrew Neitzke
We consider BPS states in a large class of d=4, N=2 field theories, obtained by reducing six-dimensional (2,0) superconformal field theories on Riemann surfaces, with defect operat…
From -fixed points to -algebra representations
Laura Fredrickson, Andrew Neitzke
We study a set parameterizing filtered -Higgs bundles over with an irregular singularity at , such that the eigenvalues of th…
Exponential Networks, WKB and Topological String
Alba Grassi, Qianyu Hao, Andrew Neitzke
We propose a connection between 3d-5d exponential networks and exact WKB for difference equations associated to five dimensional Seiberg-Witten curves, or equivalently, to quantum…
Twistorial Topological Strings and a tt* Geometry for N=2 Theories in 4d
Sergio Cecotti, Andrew Neitzke, Cumrun Vafa
We define twistorial topological strings by considering tt* geometry of the 4d N=2 supersymmetric theories on the Nekrasov-Shatashvili half-Omega background, which leads to quantiz…
Greybody factors at large imaginary frequencies
Andrew Neitzke
Extending a computation which appeared recently in hep-th/0301173, we compute the transmission and reflection coefficients for massless uncharged scalars and gravitational waves sc…
Opers and nonabelian Hodge: numerical studies
Emily Dumas, Andrew Neitzke
We present numerical experiments that test the predictions of a conjecture of Gaiotto-Moore-Neitzke and Gaiotto concerning the monodromy map for opers, the nonabelian Hodge corresp…
Topological strings and their physical applications
Andrew Neitzke, Cumrun Vafa
We give an introductory review of topological strings and their application to various aspects of superstrings and supersymmetric gauge theories. This review includes developing th…
Quantum Attractor Flows
Murat Gunaydin, Andrew Neitzke, Boris Pioline +1
Motivated by the interpretation of the Ooguri-Strominger-Vafa conjecture as a holographic correspondence in the mini-superspace approximation, we study the radial quantization of s…
Hyperkahler Sigma Model and Field Theory on Gibbons-Hawking Spaces
Anindya Dey, Andrew Neitzke
We describe a novel deformation of the 3-dimensional sigma model with hyperkähler target, which arises naturally from the compactification of a 4-dimensional theor…
Commuting Line Defects At
Davide Gaiotto, Gregory W. Moore, Andrew Neitzke +1
We explain the physical origin of a curious property of algebras which encode the rotation-equivariant fusion ring of half-BPS line defects in four-dimen…
Heterotic plane wave matrix models and giant gluons
Lubos Motl, Andrew Neitzke, Mohammad M. Sheikh-Jabbari
In this paper we define and study a matrix model describing the M-theory plane wave background with a single Horava-Witten domain wall. In the limit of infinite mu, the matrix mode…
Asymptotic Spectroscopy of Rotating Black Holes
Uri Keshet, Andrew Neitzke
We calculate analytically the transmission and reflection amplitudes for waves incident on a rotating black hole in d=4, analytically continued to asymptotically large, nearly imag…
Zhu's Theorem and an algebraic characterization of conformal blocks
Andrew Neitzke
Working in the axiomatic framework recently proposed by Gaberdiel and Goddard, we prove a generalized version of Zhu's Theorem; for any chiral bosonic conformal field theory on the…
BPS black holes, quantum attractor flows and automorphic forms
Murat Gunaydin, Andrew Neitzke, Boris Pioline +1
We propose a program for counting microstates of four-dimensional BPS black holes in N >= 2 supergravities with symmetric-space valued scalars by exploiting the symmetries of timel…
A Mysterious Duality
Amer Iqbal, Andrew Neitzke, Cumrun Vafa
We establish a correspondence between toroidal compactifications of M-theory and del Pezzo surfaces. M-theory on T^k corresponds to P^2 blown up at k generic points; Type IIB corre…
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…
A note on conformal symmetry in projective superspace
Radu A. Ionas, Andrew Neitzke
We describe a sufficient condition for actions constructed in projective superspace to possess an SU(2) R-symmetry. We check directly that this condition implies that the correspon…
Secondary products in supersymmetric field theory
Christopher Beem, David Ben-Zvi, Mathew Bullimore +2
The product of local operators in a topological quantum field theory in dimension greater than one is commutative, as is more generally the product of extended operators of codimen…
-nonabelianization for line defects
Andrew Neitzke, Fei Yan
We consider the -nonabelianization map, which maps links in a 3-manifold to links in a branched -fold cover . In quantum field theory t…
Wild Wall Crossing and BPS Giants
Dmitry Galakhov, Pietro Longhi, Tom Mainiero +2
We show that the BPS spectrum of pure SU(3) four-dimensional super Yang-Mills with N=2 supersymmetry exhibits a surprising phenomenon: there are regions of the Coulomb branch where…
Twistors and Black Holes
Andrew Neitzke, Boris Pioline, Stefan Vandoren
Motivated by black hole physics in N=2, D=4 supergravity, we study the geometry of quaternionic-Kahler manifolds M obtained by the c-map construction from projective special Kahler…
R-Twisting and 4d/2d Correspondences
Sergio Cecotti, Andrew Neitzke, Cumrun Vafa
We show how aspects of the R-charge of N=2 CFTs in four dimensions are encoded in the q-deformed Kontsevich-Soibelman monodromy operator, built from their dyon spectra. In particul…
Argyres-Seiberg duality and the Higgs branch
Davide Gaiotto, Andrew Neitzke, Yuji Tachikawa
We demonstrate the agreement between the Higgs branches of two N=2 theories proposed by Argyres and Seiberg to be S-dual, namely the SU(3) gauge theory with six quarks, and the SU(…
N=2 strings and the twistorial Calabi-Yau
Andrew Neitzke, Cumrun Vafa
We interpret the A and B model topological strings on CP^{3|4} as equivalent to open N=2 string theory on spacetime with signature (2,2), when covariantized with respect to SO(2,2)…
On the BPS Spectrum of the Rank-1 Minahan-Nemeschansky Theories
Jacques Distler, Mario Martone, Andrew Neitzke
The F-theory realization of the rank-1 Minahan Nemeschansky (MN) , and theories leads to a description of the BPS states on the Coulomb branch in terms of Type IIB…
Line Defects, Tropicalization, and Multi-Centered Quiver Quantum Mechanics
Clay Cordova, Andrew Neitzke
We study BPS line defects in N=2 supersymmetric four-dimensional field theories. We focus on theories of "quiver type," those for which the BPS particle spectrum can be computed us…
Rationality, quasirationality and finite W-algebras
Matthias R. Gaberdiel, Andrew Neitzke
Some of the consequences that follow from the C_2 condition of Zhu are analysed. In particular it is shown that every conformal field theory satisfying the C_2 condition has only f…
Deformations of surface defect moduli spaces
Andrew Neitzke, Ali Shehper
Given a 4d supersymmetric theory with an supersymmetric surface defect, a marginal perturbation of the bulk theory induces a complex structure…
Framed BPS States
Davide Gaiotto, Gregory W. Moore, Andrew Neitzke
We consider a class of line operators in d=4, N=2 supersymmetric field theories which leave four supersymmetries unbroken. Such line operators support a new class of BPS states whi…
Topological wave functions and heat equations
Murat Gunaydin, Andrew Neitzke, Boris Pioline
It is generally known that the holomorphic anomaly equations in topological string theory reflect the quantum mechanical nature of the topological string partition function. We pre…
Large N Strong Coupling Dynamics in Non-Supersymmetric Orbifold Field Theories
Robbert Dijkgraaf, Andrew Neitzke, Cumrun Vafa
We give a recipe relating holomorphic quantities in supersymmetric field theory to their descendants in non-supersymmetric Z_2 orbifold field theories. This recipe, consistent with…
Exact WKB methods in
Alba Grassi, Qianyu Hao, Andrew Neitzke
We study in detail the Schrödinger equation corresponding to the four dimensional SQCD theory with one flavour. We calculate the Voros symbols, or quantum…
Asymptotics of Hitchin's metric on the Hitchin section
David Dumas, Andrew Neitzke
We consider Hitchin's hyperkähler metric on the moduli space of degree zero -Higgs bundles over a compact Riemann surface. It has been conjecture…
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…
Four-dimensional wall-crossing via three-dimensional field theory
Davide Gaiotto, Gregory W. Moore, Andrew Neitzke
We give a physical explanation of the Kontsevich-Soibelman wall-crossing formula for the BPS spectrum in Seiberg-Witten theories. In the process we give an exact description of the…
Opers versus nonabelian Hodge
Olivia Dumitrescu, Laura Fredrickson, Georgios Kydonakis +3
For a complex simple simply connected Lie group , and a compact Riemann surface , we consider two sorts of families of flat -connections over . Each family is determine…
Topological M-theory as Unification of Form Theories of Gravity
Robbert Dijkgraaf, Sergei Gukov, Andrew Neitzke +1
We introduce a notion of topological M-theory and argue that it provides a unification of form theories of gravity in various dimensions. Its classical solutions involve G_2 holono…
Quasi-conformal actions, quaternionic discrete series and twistors: SU(2,1) and G_2(2)
Murat Gunaydin, Andrew Neitzke, Oleksandr Pavlyk +1
Quasi-conformal actions were introduced in the physics literature as a generalization of the familiar fractional linear action on the upper half plane, to Hermitian symmetric tube…
A new construction of Virasoro blocks
Qianyu Hao, Andrew Neitzke
We introduce a nonabelianization map for conformal blocks, which relates Virasoro blocks on a Riemann surface to Heisenberg blocks on a branched double cover $\widetilde{…
Spectral networks
Davide Gaiotto, Gregory W. Moore, Andrew Neitzke
We introduce new geometric objects called spectral networks. Spectral networks are networks of trajectories on Riemann surfaces obeying certain local rules. Spectral networks arise…
Factorized class theories and surface defects
Behzat Ergun, Qianyu Hao, Andrew Neitzke +1
It is known that some theories of class are actually factorized into multiple decoupled nontrivial four-dimensional theories. We propose a way of constructing examples of…
index for four-dimensional field theories
Sergei Alexandrov, Gregory W. Moore, Andrew Neitzke +1
In theories with supersymmetry on , BPS bound states can decay across walls of marginal stability in the space of Coulomb branch parameters, leading to discontinuiti…
3d spectral networks and classical Chern-Simons theory
Daniel S. Freed, Andrew Neitzke
We define the notion of spectral network on manifolds of dimension . For a manifold equipped with a spectral network, we construct equivalences between Chern-Simons inva…
The dilogarithm and abelian Chern-Simons
Daniel S. Freed, Andrew Neitzke
We construct the (enhanced Rogers) dilogarithm function from the spin Chern-Simons invariant of C*-connections. This leads to geometric proofs of basic dilogarithm identities and a…
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…
BPS Microstates and the Open Topological String Wave Function
Mina Aganagic, Andrew Neitzke, Cumrun Vafa
It has recently been conjectured that the closed topological string wave function computes a grand canonical partition function of BPS black hole states in 4 dimensions: Z_BH=|psi_…
Line defect Schur indices, Verlinde algebras and fixed points
Andrew Neitzke, Fei Yan
Given an superconformal field theory, we reconsider the Schur index in the presence of a half line defect . Recently Cordova-Gaiotto-Shao foun…
Notes on a new construction of hyperkahler metrics
Andrew Neitzke
We review a construction of hyperkahler metrics proposed in joint work of Davide Gaiotto, Greg Moore and the author. A key ingredient in this construction is a collection of intege…
BPS states in the Minahan-Nemeschansky E6 theory
Lotte Hollands, Andrew Neitzke
We use the method of spectral networks to compute BPS state degeneracies in the Minahan-Nemeschansky theory, on its Coulomb branch, without turning on a mass deformation. The…
Equivalence of twistor prescriptions for super Yang-Mills
Sergei Gukov, Lubos Motl, Andrew Neitzke
There is evidence that one can compute tree level super Yang-Mills amplitudes using either connected or completely disconnected curves in twistor space. We argue that the two compu…
Background Independence and the Open Topological String Wavefunction
Andrew Neitzke, Johannes Walcher
The open topological string partition function in the background of a D-brane on a Calabi-Yau threefold specifies a state in the Hilbert space associated with the quantization of t…
Wall-Crossing in Coupled 2d-4d Systems
Davide Gaiotto, Gregory W. Moore, Andrew Neitzke
We introduce a new wall-crossing formula which combines and generalizes the Cecotti-Vafa and Kontsevich-Soibelman formulas for supersymmetric 2d and 4d systems respectively. This 2…
Hitchin systems in N=2 field theory
Andrew Neitzke
This is the second article in the collection of reviews "Exact results on N=2 supersymmetric gauge theories", ed. J. Teschner. The space of vacua of class theories on $R^3…
WKB asymptotics of Stokes matrices, spectral curves and rhombus inequalities
Anton Alekseev, Andrew Neitzke, Xiaomeng Xu +1
We consider an system of ODEs on with a simple pole at and a double pole at . This is the simplest si…
On a hyperholomorphic line bundle over the Coulomb branch
Andrew Neitzke
Given an N=2 supersymmetric field theory in four dimensions, its dimensional reduction on S^1 is a sigma model with hyperkahler target space M. We describe a canonical line bundle…
Asymptotic black hole quasinormal frequencies
Lubos Motl, Andrew Neitzke
We give a new derivation of the quasinormal frequencies of Schwarzschild black holes in d>=4 and Reissner-Nordstrom black holes in d=4, in the limit of infinite damping. For Schwar…