Geometric flows and supersymmetry

DOI10.1007/s00220-023-04910-7arXiv2302.06624WikidataQ129357647 ScholiaQ129357647MaRDI QIDQ6188099

Anthony Ashmore, Yann Proto, Ruben Minasian

Publication date: 1 February 2024

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.06624

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81Txx) Global differential geometry (53Cxx) Unified, higher-dimensional and super field theories (83Exx)

Cites Work

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• Heterotic fluxes and supersymmetry
• Non-Kaehler heterotic string solutions with non-zero fluxes and non-constant Dilaton
• Generalised geometry for string corrections
• A spinorial energy functional: critical points and gradient flow
• Soliton solutions for the Laplacian co-flow of some \(G_2\)-structures with symmetry
• Non-Kähler heterotic rotations
• Irreversibility of world-sheet renormalization group flow
• New heterotic non-Kähler geometries
• Geometry of compact complex homogeneous spaces with vanishing first Chern class
• Geometric model for complex non-Kähler manifolds with \(\operatorname{SU}(3)\) structure
• Non-Kaehler heterotic string compactifications with non-zero fluxes and constant dilaton
• A gradient flow for worldsheet nonlinear sigma models
• String corrected spacetimes and \(\operatorname{SU}(N)\)-structure manifolds
• Linear models for flux vacua
• Metrics on complex manifolds
• Torsional heterotic geometries
• Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds
• Infinite determinants, stable bundles and curvature
• A local index theorem for non-Kähler manifolds
• Killing spinor equations in dimension 7 and geometry of integrable \(G_{2}\)-manifolds
• M theory, orientifolds and \(G\)-flux.
• The geometry of three-forms in six dimensions.
• Finite deformations from a heterotic superpotential: holomorphic Chern-Simons and an \(L_{\infty}\) algebra
• The heterotic superpotential and moduli
• The anomaly flow and the Fu-Yau equation
• Geometric flows and Strominger systems
• Non-duality in three dimensions
• On the effective field theory of heterotic vacua
• Anomaly flows
• Parallel spinors and connections with skew-symmetric torsion in string theory.
• Non-Kähler string backgrounds and their five torsion classes
• \(G\)-structures and wrapped NS\(5\)-branes
• Supersymmetry breaking, heterotic strings and fluxes
• Generalising \(G_2\) geometry: involutivity, moment maps and moduli
• On the stability of the anomaly flow
• Calabi-Yau CFTs and random matrices
• A Hermitian curvature flow
• Machine learning line bundle connections
• A construction of infinitely many solutions to the Strominger system
• The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation
• The existence of supersymmetric string theory with torsion
• Numerical Kähler-Einstein metric on the third del Pezzo
• Heterotic backgrounds via generalised geometry: moment maps and moduli
• A gradient flow of isometric \(\text{G}_2\)-structures
• Neural network approximations for Calabi-Yau metrics
• A numerical approach to finding general stationary vacuum black holes
• The Monge-Ampère equation for (𝑛-1)-plurisubharmonic functions on a compact Kähler manifold
• Local models of heterotic flux vacua: spacetime and worldsheet aspects
• Deformations of G₂ and Spin(7) Structures
• Ricci flow and black holes
• The effective action of the heterotic string compactified on manifolds with SU (3) structure
• Supersymmetric AdS3 Solutions in Heterotic Supergravity
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Shi-type estimates and finite time singularities of flows of G2 structures
• On the existence of hermitian-yang-mills connections in stable vector bundles
• The Yang-Mills equations over Riemann surfaces
• A Parabolic Flow of Pluriclosed Metrics
• The Anomaly Flow over Riemann Surfaces
• Flows of Co-closed $$G_{2}$$-Structures
• The Anomaly flow on unimodular Lie groups
• On heterotic vacua with fermionic expectation values
• Ricci flows connecting Taub–Bolt and Taub–NUT metrics
• Effective field theory from quantized strings
• Gradient flow of Einstein-Maxwell theory and Reissner-Nordström black holes
• A worldsheet approach to \(\mathcal{N} = 1\) heterotic flux backgrounds