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Megamaps: Construction and Examples
Published 2001-01-01Subjects: “…riemann surface…”
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85
M2-branes on discs and multi-charged spindles
Published 2022-04-01“…We consider two classes of Riemann surface: the first is a spindle and the second is a topological disc. …”
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86
M2-branes on discs and multi-charged spindles
Published 2022“…We consider two classes of Riemann surface: the first is a spindle and the second is a topological disc. …”
Journal article -
87
The geometry of decoupling fields
Published 2021“…We consider 4d field theories obtained by reducing the 6d (1,0) SCFT of N M5-branes probing a C2/Zk singularity on a Riemann surface with fluxes. We follow two different routes. …”
Internet publication -
88
The geometry of decoupling fields
Published 2022-09-01“…Abstract We consider 4d field theories obtained by reducing the 6d (1,0) SCFT of N M5-branes probing a ℂ2 /ℤ k singularity on a Riemann surface with fluxes. We follow two different routes. …”
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89
Geometric aspects of twisted 3d supersymmetric gauge theories
Published 2019“…<p>We study geometric aspects of 3d N = 2 and N = 4 supersymmetric gauge theories on the product of a line and a Riemann surface. Performing the topological twist on the Riemann surface, the theories preserve a supersymmetric quantum mechanics on the line. …”
Thesis -
90
Anomaly inflow methods for SCFT constructions in type IIB
Published 2021“…Our procedure is tested in several 4d examples and applied to 2d theories obtained by wrapping D3-branes on a Riemann surface. In particular, we show how to analyze half-BPS regular punctures for 4d N = 4 SYM on a Riemann surface. …”
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91
Unramified correspondences and virtual properties of mapping class groups
Published 2022“…Given (Formula presented.), we show that every genus (Formula presented.) Riemann surface (Formula presented.) virtually dominates a fixed Riemann surface (Formula presented.) of genus at least two if and only if there exists a finite index subgroup (Formula presented.) which allows a point pushing epimorphism onto a free group of rank two. …”
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92
Harmonic maps and associated energy functionals
Published 2024“…Given such a p and χ, we define the energy functional E : T (S) → R defined on the Teichmüller space T (S) of the Riemann surface structures on S as follows: given a Riemann surface X marked by S, we can lift X to a Riemann surface Y marked by S' such that p is homotopic to a holomorphic immersion Y → X. …”
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93
5D SYM on 3D deformed spheres
Published 2015-09-01“…We reconsider the relation of superconformal indices of superconformal field theories of class S with five-dimensional N=2 supersymmetric Yang–Mills theory compactified on the product space of a round three-sphere and a Riemann surface. We formulate the five-dimensional theory in supersymmetric backgrounds preserving N=2 and N=1 supersymmetries and discuss a subtle point in the previous paper concerned with the partial twisting on the Riemann surface. …”
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94
Vanishing and blow-up solutions to a class of nonlinear complex differential equations near the singular point
Published 2024-02-01“…A singular nonlinear differential equation zσdwdz=aw+zwf(z,w),{z}^{\sigma }\frac{{\rm{d}}w}{{\rm{d}}z}=aw+zwf\left(z,w), where σ>1\sigma \gt 1, is considered in a neighbourhood of the point z=0z=0 located either in the complex plane C{\mathbb{C}} if σ\sigma is a natural number, in a Riemann surface of a rational function if σ\sigma is a rational number, or in the Riemann surface of logarithmic function if σ\sigma is an irrational number. …”
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Vanishing of intersection numbers on the moduli space of Higgs bundles
Published 1998“…In this paper we consider the topological side of a problem which is the analogue of Sen's S-duality testing conjecture for Hitchin's moduli space of rank 2 stable Higgs bundles of fixed determinant of odd degree over a Riemann surface. We prove that all intersection numbers in the compactly supported cohomology vanish, i.e. …”
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96
A topological study of gravity waves generated by moving bodies using the method of steepest descents
Published 2016“…Then, when a geometrical feature of the body is modified, a corresponding change to the Riemann surface is observed, and the resultant effects to the water waves can be derived. …”
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97
The Dirac-Higgs bundle
Published 2015“…<p>The Dirac–Higgs bundle is a vector bundle with a natural connection on the moduli space of stable Higgs bundles on a compact Riemann surface. It is a vector bundle of null-spaces of a Dirac-operator coupled to stable Higgs bundles. …”
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98
Moduli and twistor spaces
Published 1997-01-01“…We study the geometry and topology of certain moduli spaces of stable bundles of (arbitrary) even rank on a hyperelliptic Riemann surface, by using a description involving twistor spaces. …”
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Special Lagrangian 3-folds and integrable systems
Published 2001“…Harmonic maps from a Riemann surface into complex projective space CP^n are an integrable system, and can be studied and classified using loop group techniques. …”
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100
Liouville Correlation Functions from Four-Dimensional Gauge Theories
Published 2010“…We conjecture an expression for the Liouville theory conformal blocks and correlation functions on a Riemann surface of genus g and n punctures as the Nekrasov partition function of a certain class of N = 2 SCFTs recently defined by one of the authors. …”
Journal article