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On the moduli space of superminimal surfaces in spheres
Published 2003-01-01“…Using this approach, we show that the moduli space of linearly full maps is nonempty for sufficiently large degree and we show that the dimension of this moduli space for n=3 and genus 0 is greater than or equal to 2d+9. …”
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Projections in Moduli Spaces of the Kleinian Groups
Published 2022-01-01“…This is useful in studying the geometry of the Kleinian groups since f,g will be discrete only if f,ϕ is, and the moduli space of groups f,ϕ is one complex dimension less. …”
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Moduli spaces in CFT: bootstrap equation in a perturbative example
Published 2024-12-01“…Abstract Conformal field theories that exhibit spontaneous breaking of conformal symmetry (a moduli space of vacua) must satisfy a set of bootstrap constraints, involving the usual data (scaling dimensions and OPE coefficients) as well as new data such as the spectrum of asymptotic states in the broken vacuum and form factors. …”
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Non-linear bi-algebraic curves and surfaces in moduli spaces of Abelian differentials
Published 2023-11-01“…The strata of the moduli spaces of Abelian differentials are non-homogenous spaces carrying natural bi-algebraic structures. …”
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Simplicity of Tangent bundles on the moduli spaces of symplectic and orthogonal bundles over a curve
Published 2024-05-01“…In particular, we show the nondegeneracy of the associated variety of minimal rational tangents, which implies the simplicity of the tangent bundle on the moduli spaces of symplectic and orthogonal bundles over a curve. …”
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A construction of Shatz strata in the polystable $ G_2 $-bundles moduli space using Hecke curves
Published 2024-11-01Subjects: Get full text
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T-duality for non-critical heterotic strings
Published 2025-01-01“…For dimensions up to 14 the associated moduli spaces are Coxeter polytopes already studied by Vinberg and Kaplinskaya. …”
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Complete curves in the strata of differentials
Published 2023-01-01“…Here we provide an alternative proof for this result by using positivity of divisor classes on moduli spaces of curves.…”
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Stable Sheaves on a Smooth Quadric Surface with Linear Hilbert Bipolynomials
Published 2014-01-01“…We investigate the moduli spaces of stable sheaves on a smooth quadric surface with linear Hilbert bipolynomial in some special cases and describe their geometry in terms of the locally free resolution of the sheaves.…”
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Topological 1D gravity, KP hierarchy, and orbifold Euler characteristics of M‾g,n
Published 2025-03-01“…As an application, we present two types of algorithms to compute the orbifold Euler characteristics of the moduli spaces M‾g,n of stable curves. The first is to use (fat or thin) topological recursion formulas emerging from the Virasoro constraints for Z1D; and the second is to use a formula for the connected n-point functions of a KP tau-function in terms of its affine coordinates on the Sato Grassmannian. …”
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Symmedians as Hyperbolic Barycenters
Published 2024-11-01“…We initiate a study of moduli spaces of ideal polygons with fixed hyperbolic barycenter, and of some additional optimality properties of this point for harmonic (and sufficiently regular) ideal polygons.…”
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The Master Space of Supersymmetric Gauge Theories
Published 2010-01-01“…We give a short review on the study of the moduli space and the spectrum of chiral operators for gauge theories living on branes at singularities. …”
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Transplanckian censorship and the local swampland distance conjecture
Published 2020-01-01“…Abstract The swampland distance conjecture (SDC) addresses the ability of effective field theory to describe distant points in moduli space. It is natural to ask whether there is a local version of the SDC: is it possible to construct local excitations in an EFT that sample extreme regions of moduli space? …”
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Non-invertible symmetry in Calabi-Yau conformal field theories
Published 2025-01-01“…By deforming away from this special locus using exactly marginal operators, we then identify submanifolds in moduli space where some non-invertible symmetry persists. …”
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Non-minimal elliptic threefolds at infinite distance II: asymptotic physics
Published 2025-01-01“…Abstract We interpret infinite-distance limits in the complex structure moduli space of F-theory compactifications to six dimensions in the light of general ideas in quantum gravity. …”
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Exact flux vacua, symmetries, and the structure of the landscape
Published 2025-01-01“…We find that along certain symmetry loci in moduli space the generically transcendental vacuum conditions become algebraic and can be described using the periods of a K3 surface. …”
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On the group of automorphisms of Horikawa surfaces
Published 2024-05-01“…The main result states that given an admissible pair $(K^2, \chi )$ such that $K^2=2\chi -6$, every irreducible component of Gieseker’s moduli space $\mathfrak{M}_{K^2,\chi }$ contains an open subset consisting of surfaces with group of automorphisms isomorphic to $\mathbb{Z}_2$.…”
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Cosmology of light towers and swampland constraints
Published 2024-12-01“…Some of the attractor solutions have problematic behaviours from the EFT point of view, which we use to argue for restrictions on the possible exponential scalings of the potential and tower characteristic mass as we move towards asymptotic regions in moduli space. These serve as further evidence that the tower mass should not decay faster than the potential or the KK scale associated to the homogeneous decompactification of a single compact dimension. …”
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