Moduli spaces in CFT: bootstrap equation in a perturbative example
Sign Up to like & getrecommendations! Published in 2024 at "Journal of High Energy Physics"
DOI: 10.1007/jhep12(2024)144
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… read more here.
Keywords: equation; moduli spaces; cft bootstrap; equation perturbative ... See more keywords
Decomposing moduli of representations of finite-dimensional algebras
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Annalen"
DOI: 10.1007/s00208-018-1687-7
Abstract: Consider a finite-dimensional algebra A and any of its moduli spaces $${{\mathcal {M}}}(A,\mathbf {d})^{ss}_{\theta }$$M(A,d)θss of representations. We prove a decomposition theorem which relates any irreducible component of $${{\mathcal {M}}}(A,{\mathbf {d}})^{ss}_{\theta }$$M(A,d)θss to a product… read more here.
Keywords: finite dimensional; moduli representations; moduli spaces; representations finite ... See more keywords
$$\mathrm {SO}(p,q)$$-Higgs bundles and Higher Teichmüller components
Sign Up to like & getrecommendations! Published in 2019 at "Inventiones mathematicae"
DOI: 10.1007/s00222-019-00885-2
Abstract: Some connected components of a moduli space are mundane in the sense that they are distinguished only by obvious topological invariants or have no special characteristics. Others are more alluring and unusual either because they… read more here.
Keywords: higher teichm; bundles higher; moduli spaces; components moduli ... See more keywords
The moduli spaces of equivariant minimal surfaces in $${\mathbb {RH}}^3$$RH3 and $$\mathbb {RH}^4$$RH4 via Higgs bundles
Sign Up to like & getrecommendations! Published in 2018 at "Geometriae Dedicata"
DOI: 10.1007/s10711-018-0395-5
Abstract: In this article we introduce a definition for the moduli space of equivariant minimal immersions of the Poincaré disc into a non-compact symmetric space, where the equivariance is with respect to representations of the fundamental… read more here.
Keywords: equivariant minimal; space; moduli spaces; higgs bundles ... See more keywords
Rates of mixing for the Weil-Petersson geodesic flow I: no rapid mixing in non-exceptional moduli spaces
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2016.10.026
Abstract: Abstract We show that the rate of mixing of the Weil–Petersson flow on non-exceptional (higher dimensional) moduli spaces of Riemann surfaces is at most polynomial. read more here.
Keywords: weil petersson; moduli spaces; mixing weil; non exceptional ... See more keywords
Corrigendum and addendum to “Moduli spaces of framed sheaves and quiver varieties”
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2017.07.008
Abstract: Abstract This paper is an erratum to our paper Moduli spaces of framed sheaves and quiver varieties (J. Geom. Phys., 2016). As a byproduct, we prove a result (Prop. 2.5) providing a description of the… read more here.
Keywords: spaces framed; moduli spaces; framed sheaves; quiver varieties ... See more keywords
Quasi-Poisson structures on moduli spaces of quasi-surfaces
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2020.103743
Abstract: Abstract In generalization of the classical Atiyah–Bott Poisson brackets on the moduli spaces of surfaces we define quasi-Poisson brackets on the moduli spaces of quasi-surfaces. read more here.
Keywords: poisson structures; quasi poisson; quasi surfaces; structures moduli ... See more keywords
The eventually distance minimizing rays in moduli spaces
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Scientia"
DOI: 10.1016/s0252-9602(18)30795-1
Abstract: Abstract The eventually distance minimizing ray (EDM ray) in moduli spaces of the Riemann surfaces of analytic finite type with 3g + n − 3 > 0 is studied, which was introduced by Farb and… read more here.
Keywords: edm rays; distance minimizing; end points; moduli spaces ... See more keywords
Topology of moduli spaces of curves and anabelian geometry in positive characteristic
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DOI: 10.1017/fms.2024.12
Abstract: Abstract In the present paper, we study a new kind of anabelian phenomenon concerning the smooth pointed stable curves in positive characteristic. It shows that the topology of moduli spaces of curves can be understood… read more here.
Keywords: moduli spaces; spaces curves; topology moduli; positive characteristic ... See more keywords
MODULI SPACES OF SLOPE-SEMISTABLE SHEAVES WITH REFLEXIVE SESHADRI GRADUATIONS
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DOI: 10.1017/nmj.2025.10076
Abstract: Abstract We study the moduli stacks of slope-semistable torsion-free coherent sheaves that admit reflexive, respectively, locally free, Seshadri graduations on a smooth projective variety. We show that they are open in the stack of coherent… read more here.
Keywords: moduli spaces; spaces slope; slope semistable; seshadri graduations ... See more keywords
Futaki invariants and reflexive polygons
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0263001
Abstract: Futaki invariants of the classical moduli space of 4dN=1 supersymmetric gauge theories are conjectured to determine whether they have a conformal fixed point in the IR. We systematically compute the Futaki invariants for a large… read more here.
Keywords: moduli spaces; futaki invariants; fano surfaces; reflexive polygons ... See more keywords