We construct compact -orbifolds with ADE-singularities that carry exactly one parallel spinor. Our examples are related to certain quotients of that have been investigated in arXiv:hep-th/9812205. We shortly discuss the physical applications of our examples.
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14 results for “ADE-singularities”
Study of K3 surfaces with special involutions and singularities.
problem Characterizing K3 surfaces with specific symmetries.
method Analysis of K3 surfaces with commuting non-symplectic involutions.
result Identification of 320 examples of K3 surfaces with various singularities.
Study asymptotic behavior of second Chern forms on degenerating Kähler-Einstein surfaces.
problem Asymptotic behavior of second Chern forms on degenerating Kähler-Einstein surfaces with ADE singularities.
method Investigates a function on the unit disc defined by fiber integrals of the forms with a smooth test function, showing a lower bound of Hölder exponent at the origin for both cscK-metrics and Ricci-flat metrics.
result Shows bounds of Hölder exponent for both cscK-metrics and Ricci-flat metrics.
In this paper we give some sufficient conditions for the vanishing of the genus-2 G-function, which was introduced by B. Dubrovin, S. Liu and Y. Zhang in [DLZ]. As a corollary we prove their conjecture for the vanishing of the genus-2 G-function for ADE singularities.
Abstract M5 branes on ADE singularities yields BPS spectrum and partition functions.
problem Determine the BPS spectrum and partition functions for M5 branes on ADE singularities.
method Analyze 6d SCFTs on geometric backgrounds, using contributions from BPS strings and particles.
result Explicit expressions for BPS string and particle contributions to partition functions.
A key open problem in M-theory is the identification of the degrees of freedom that are expected to be hidden at ADE-singularities in spacetime. Comparison with the classification of D-branes by K-theory suggests that the answer must come from the right choice of generalized cohomology theory for M-branes. Here we show…
T-Branes and Backgroundshep-th
Study of compactifications in M- / string theory.
problem Understanding physical theories from compactifications.
method Gauge theory analysis of 3-manifold singularities.
result Found T-brane phenomena in compactifications.
Study on moduli spaces of sextic curves with simple singularities and their compactifications.
problem Understanding moduli spaces of sextic curves with simple singularities.
method Using period maps of K3 surfaces with ADE singularities, algebraic open embeddings into arithmetic quotients of type IV domains, and GIT and Looijenga compactifications.
result Identifications of GIT and Looijenga compactifications for all cases.
New deformations for -orbifolds using spectral covers.
problem Deforming -orbifolds with coassociative fibrations.
method Using spectral/cameral covers associated to Higgs bundles.
result Generalizes known deformations of Calabi-Yau threefolds.
The paper connects -manifolds to Coulomb and Higgs phases of gauge theories.
problem Exploring the physical interpretation of special singularities in -holonomy manifolds.
method Analyzing desingularizations of orbifold singularities and relating them to gauge theories.
result Shows an isomorphism between moduli spaces of Ricci flat metrics and flat ADE-connections.
A key open problem in M-theory is the mechanism of "gauge enhancement", which supposedly makes M-branes exhibit the nonabelian gauge degrees of freedom that are seen perturbatively in the limit of 10d string theory. In fact, since only the twisted K-theory classes represented by nonabelian Chan-Paton gauge fields on D-…
Study 3d N=1 vacua from M-theory compactification on Spin(7) space.
problem Quantum corrections in 3d N=1 vacua from M-theory compactification.
method Use Higgs bundles to analyze 3d N=1 vacua and track corrections.
result Topological anomalies are robust and calculable in 3d effective field theory.
This paper studies Gorenstein singularities and their applications in moduli spaces of holomorphic differentials.
problem Understanding Gorenstein singularities and their moduli spaces.
method Construction of Gorenstein curve singularities via test configurations and miniversal deformation spaces.
result Classification of Gorenstein singularities and compactification of nonvarying strata.
The paper calculates Seiberg-Witten invariants and finds non-symplectic diffeomorphisms.
problem Calculating Seiberg-Witten invariants for families of 4-manifolds.
method Extending Kronheimer-Mrowka's result to family setting, using gluing formula and monopole Floer (co)homology.
result Establishes a large family of simply-connected 4-manifolds with nontrivial fundamental group of diffeomorphisms.