Results 11 to 20 of about 1,101 (109)
Symplectic resolutions, symplectic duality, and Coulomb branches
Bulletin of the London Mathematical Society, Volume 54, Issue 5, Page 1515-1551, October 2022., 2022 Abstract Symplectic resolutions are an exciting new frontier of research in representation theory. One of the most fascinating aspects of this study is symplectic duality: the observation that these resolutions come in pairs with matching properties. The Coulomb branch construction allows us to produce and study many of these dual pairs.
Joel Kamnitzer
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Journal of the London Mathematical Society, Volume 106, Issue 2, Page 590-661, September 2022., 2022 Abstract Given a generic stable strongly parabolic SL(2,C)$\operatorname{SL}(2,\mathbb {C})$‐Higgs bundle (E,φ)$({\mathcal {E}}, \varphi )$, we describe the family of harmonic metrics ht$h_t$ for the ray of Higgs bundles (E,tφ)$({\mathcal {E}}, t \varphi )$ for t≫0$t\gg 0$ by perturbing from an explicitly constructed family of approximate solutions ...
Laura Fredrickson +3 more
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A compact non‐formal closed G2 manifold with b1=1$b_1=1$
Mathematische Nachrichten, Volume 295, Issue 8, Page 1562-1590, August 2022., 2022 Abstract We construct a compact manifold with a closed G2 structure not admitting any torsion‐free G2 structure, which is non‐formal and has first Betti number b1=1$b_1=1$. We develop a method of resolution for orbifolds that arise as a quotient M/Z2$M/{{\mathbb {Z}}_2}$ with M a closed G2 manifold under the assumption that the singular locus carries a
Lucía Martín‐Merchán
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THE SPACE OF HYPERKÄHLER METRICS ON A 4-MANIFOLD WITH BOUNDARY
Forum of Mathematics, Sigma, 2017 Let $X$ be a compact 4-manifold with boundary.
JOEL FINE +2 more
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sl(2)$\mathfrak {sl}(2)$‐Type singular fibres of the symplectic and odd orthogonal Hitchin system
Journal of Topology, Volume 15, Issue 1, Page 1-38, March 2022., 2022 Abstract We define and parametrize so‐called sl(2)$\mathfrak {sl}(2)$‐type fibres of the Sp(2n,C)$\mathsf {Sp}(2n,\mathbb {C})$‐ and SO(2n+1,C)$\mathsf {SO}(2n+1,\mathbb {C})$‐Hitchin system. These are (singular) Hitchin fibres, such that spectral curve establishes a 2‐sheeted covering of a second Riemann surface Y$Y$.
Johannes Horn
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Complete moduli of cubic threefolds and their intermediate Jacobians
Proceedings of the London Mathematical Society, Volume 122, Issue 2, Page 259-316, February 2021., 2021 Abstract The intermediate Jacobian map, which associates to a smooth cubic threefold its intermediate Jacobian, does not extend to the GIT compactification of the space of cubic threefolds, not even as a map to the Satake compactification of the moduli space of principally polarized abelian fivefolds.
Sebastian Casalaina‐Martin +3 more
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Superconformal mechanics of AdS2 D-brane boundstates
Journal of High Energy Physics, 2020 We explicitly construct a family of N $$ \mathcal{N} $$ = 4 superconformal mechanics of dyonic particles, generalizing the work of Anninos et al. [1] to an arbitrary number of particles.
Delaram Mirfendereski +2 more
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7D supersymmetric Yang-Mills on a 3-Sasakian manifold
Journal of High Energy Physics, 2018 In this paper we study 7D maximally supersymmetric Yang-Mills on a specific 3-Sasakian manifold that is the total space of an SO(3)-bundle over ℂP 2. The novelty of this example is that the manifold is not a toric Sasaki-Einstein manifold.
Andreas Rocén
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Rigid limit for hypermultiplets and five-dimensional gauge theories
Journal of High Energy Physics, 2018 We study the rigid limit of a class of hypermultiplet moduli spaces appearing in Calabi-Yau compactifications of type IIB string theory, which is induced by a local limit of the Calabi-Yau.
Sergei Alexandrov +2 more
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Slices to sums of adjoint orbits, the Atiyah-Hitchin manifold, and Hilbert schemes of points
Complex Manifolds, 2017 We show that the regular Slodowy slice to the sum of two semisimple adjoint orbits of GL(n, ℂ) is isomorphic to the deformation of the D2-singularity if n = 2, the Dancer deformation of the double cover of the Atiyah-Hitchin manifold if n = 3, and to the
Bielawski Roger
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