The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation

From MaRDI portal
Publication:2481513

DOI10.4310/jdg/1207834550zbMath1141.53036arXivhep-th/0604063OpenAlexW1964992428WikidataQ115195472 ScholiaQ115195472MaRDI QIDQ2481513

Ji-Xiang Fu, Shing Tung Yau

Publication date: 10 April 2008

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0604063



Related Items

Invariant solutions to the Strominger system and the heterotic equations of motion, Estimates for a geometric flow for the type IIB string, Heterotic fluxes and supersymmetry, Non-Kaehler heterotic string solutions with non-zero fluxes and non-constant Dilaton, Holomorphic bundles and the moduli space of \(N=1\) supersymmetric heterotic compactifications, Fully nonlinear elliptic equations on Hermitian manifolds for symmetric functions of partial Laplacians, Generalized Donaldson functionals and related nonlinear partial differential equations, GLSMs for non-Kähler geometries, Target spaces from chiral gauge theories, Gauge threshold corrections for \( \mathcal{N}=2 \) heterotic local models with flux, and mock modular forms, Heterotic string compactification and new vector bundles, \(T^{4}\) fibrations over Calabi-Yau two-folds and non-Kähler manifolds in string theory, The abelian heterotic conifold, Dressed elliptic genus of heterotic compactifications with torsion and general bundles, Geometry and supersymmetry of heterotic warped flux AdS backgrounds, A construction of non-Kähler Calabi-Yau manifolds and new solutions to the Strominger system, New supersymmetric index of heterotic compactifications with torsion, \(\mathrm{SU}(5)\) heterotic standard model bundles, Local heterotic torsional models, The adiabatic limit of Fu-Yau equations, The Neumann problem for a class of mixed complex Hessian equations, An a priori \(C^0\)-estimate for the Fu-Yau equation on compact almost astheno-Kähler manifolds, The anomaly flow and the Fu-Yau equation, The unwarped, resolved, deformed conifold: Fivebranes and the baryonic branch of the Klebanov-Strassler theory, Heterotic resolved conifolds with torsion, from supergravity to CFT, Heterotic backgrounds via generalised geometry: moment maps and moduli, Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry, Hessian equations on closed Hermitian manifolds, The Fu-Yau equation with negative slope parameter, Anomaly cancellation and smooth non-Kähler solutions in heterotic string theory, Moduli identification methods in type II compactifications, Deformations of balanced metrics, The complex Hessian equations with gradient terms on Hermitian manifolds, The Fu-Yau equation in higher dimensions, On estimates for the Fu-Yau generalization of a Strominger system, The Monge-Ampère equation for (𝑛-1)-plurisubharmonic functions on a compact Kähler manifold, Regularity of the geodesic equation in the space of Sasakian metrics, Geometry of compact complex homogeneous spaces with vanishing first Chern class, T-dual solutions of the Hull-Strominger system on non-Kähler threefolds, Semilinear equations, the \(\gamma_k\) function, and generalized Gauduchon metrics, Heterotic non-Kähler geometries via polystable bundles on Calabi-Yau threefolds, Strominger connection and pluriclosed metrics, Regularity estimates of solutions to complex Monge-Ampère equations on Hermitian manifolds, Heterotic hyper-Kähler flux backgrounds, On the curvature of the Bismut connection: Bismut-Yamabe problem and Calabi-Yau with torsion metrics, Calabi-Yau metrics and string compactification, Geometric flows and Strominger systems, Ricci curvatures on Hermitian manifolds, Fully nonlinear elliptic equations for conformal deformations of Chern-Ricci forms, Second order estimates for complex Hessian equations with gradient terms on both sides, Supersymmetry breaking, heterotic strings and fluxes, Solutions of the Strominger system via stable bundles on Calabi-Yau threefolds, IIB black hole horizons with five-form flux and KT geometry, A construction of infinitely many solutions to the Strominger system, Green-Schwarz mechanism in heterotic (2,0) gauged linear sigma models: torsion and NS5 branes, On the Strominger system and holomorphic deformations, DWSB in heterotic flux compactifications, Computing the spectrum of a heterotic flux vacuum, Heterotic string from a higher dimensional perspective, Compactification on negatively curved manifolds, Heterotic sigma models with \(N = 2\) space-time supersymmetry, Stability and regularity of solutions of the Monge-Ampère equation on Hermitian manifolds, The Fu-Yau equation on compact astheno-Kähler manifolds, Calabi-Yau manifolds and SU(3) structure, Mini-workshop: Almost complex geometry. Abstracts from the mini-workshop held October 4--10, 2020 (online meeting), \(C^{2,\alpha}\) estimates for nonlinear elliptic equations in complex and almost complex geometry, Moduli space of torsional manifolds, Pogorelov estimates for a class of fully nonlinear equations, The anomaly flow on nilmanifolds, The Hull-Strominger system and the anomaly flow on a class of solvmanifolds, Higher dimensional generalizations of twistor spaces, Solutions to the Hull-Strominger system with torus symmetry, Heterotic compactifications on nearly Kähler manifolds, The Monge-Ampère equation for non-integrable almost complex structures, Linear sigma models with torsion, Some recent progress in non-Kähler geometry, Metrics on complex manifolds, Extremal bundles on Calabi-Yau threefolds, Minimal complex surfaces with Levi-Civita Ricci-flat metrics, Second order estimates for complex Hessian equations on Hermitian manifolds, Torsional heterotic geometries, Compact supersymmetric solutions of the heterotic equations of motion in dimension 5, Super Weyl invariance: BPS equations from heterotic worldsheets, Fu-Yau Hessian equations, Second order estimates for a class of complex Hessian equations on Hermitian manifolds, A new positivity condition for the curvature of Hermitian manifolds, Levi-Civita Ricci-flat metrics on compact complex manifolds, A flow of conformally balanced metrics with Kähler fixed points, On Gauduchon Kähler-like manifolds, Regularity of degenerate \(k\)-Hessian equations on closed Hermitian manifolds, Balanced manifolds and SKT metrics, Hermitian metrics, \((n-1,n-1)\) forms and Monge-Ampère equations, Heterotic solitons on four-manifolds, Bochner-Kodaira formulas and the type IIA flow, Invariant solutions to the Strominger system on complex Lie groups and their quotients, On the existence of balanced metrics on six-manifolds of cohomogeneity one, Second-order derivative estimates for a class of Hessian equations on compact almost Hermitian manifolds, Quaternionic Heisenberg group and heterotic string solutions with non-constant dilaton in dimensions 7 and 5, On Strominger space forms, \(C^{2,\alpha}\) estimates for nonlinear elliptic equations of twisted type, On Strominger Kähler-like manifolds with degenerate torsion, A type of parabolic flow with mixed hessians on compact Kähler manifolds, Singular Gauduchon metrics, Canonical metrics on holomorphic Courant algebroids, The classical Neumann problem for a class of mixed Hessian equations, Flat equivariant gerbes: holonomies and dualities, Hessian equations of Krylov type on Kähler manifolds, A worldsheet approach to \(\mathcal{N} = 1\) heterotic flux backgrounds, Six dimensional homogeneous spaces with holomorphically trivial canonical bundle, Dirichlet problem for Krylov type equation in conformal geometry, Special Lagrangian cycles and Calabi-Yau transitions, The heterotic 𝐺₂ system on contact Calabi–Yau 7-manifolds, Weak solutions of complex Hessian equations on compact Hermitian manifolds, Stability of the tangent bundle through conifold transitions, Geometric flows and supersymmetry, Interior curvature bounds for a type of mixed Hessian quotient equations, The Heterotic-Ricci flow and its three-dimensional solitons, Weak solutions of the Monge–Ampère equation on compact Hermitian manifolds, From Riemann and Kodaira to modern developments on complex manifolds, Unnamed Item, On Bismut flat manifolds, Unnamed Item, A class of prescribed Weingarten curvature equations in Euclidean space, The Anomaly flow on unimodular Lie groups