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Generalising \(G_2\) geometry: involutivity, moment maps and moduli (Q2024301)

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English	Generalising \(G_2\) geometry: involutivity, moment maps and moduli	scientific article

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scholarly article

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Generalising \(G_2\) geometry: involutivity, moment maps and moduli (English)

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Anthony Ashmore

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Charles Strickland-Constable

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Journal of High Energy Physics

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publication date

3 May 2021

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full work available at URL

https://arxiv.org/abs/1910.04795

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zbMATH Keywords

differential and algebraic geometry

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flux compactifications

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MaRDI profile type

MaRDI publication profile

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M theory, Joyce orbifolds and super Yang-Mills

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M-theory dynamics on a manifold of \(G_2\) holonomy

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Matter from \(G_2\) manifolds

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Local geometry of the \(G_{2}\) moduli space

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Kahler independence of the \(G_{2}\)-MSSM

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Higgs bundles for M-theory on $G_2$-manifolds

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\(G_2\)-manifolds and associative submanifolds via semi-Fano 3-folds

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SOME RECENT DEVELOPMENTS IN KÄHLER GEOMETRY AND EXCEPTIONAL HOLONOMY

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Fluxes in M-theory on 7-manifolds: \(G\)-structures and superpotential

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\(M\)-theory, exceptional generalised geometry and superpotentials

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\({E_d}_{(d)}\times \mathbb{R}^{+}\) generalised geometry, connections and M theory

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The Hitchin functionals and the topological \(B\)-model at one loop

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Supersymmetric backgrounds and generalised special holonomy

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Supersymmetric backgrounds, the Killing superalgebra, and generalised special holonomy

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\( \mathcal{N} = 2\) vacua in generalized geometry

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Exceptional Calabi–Yau spaces: the geometry of backgrounds with flux

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Generalized geometric vacua with eight supercharges

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The geometry of three-forms in six dimensions.

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The Yang-Mills equations over Riemann surfaces

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Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles

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On the existence of hermitian-yang-mills connections in stable vector bundles

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A note on our previous paper: On the existence of Hermitian Yang–Mills connections in stable vector bundles

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Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities

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Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof

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Generalized Calabi-Yau Manifolds

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Generalized complex geometry

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Supersymmetric \(\mathrm{ AdS}_5\) solutions of massive IIA supergravity

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A massive class of \( \mathcal{N}=2 \) \(\mathrm{AdS}_{4}\) IIA solutions

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Gravity duals to deformed SYM theories and generalized complex geometry

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\(AdS_{5}\) solutions of type IIB supergravity and generalized complex geometry

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SUPERGRAVITY DESCRIPTION OF FIELD THEORIES ON CURVED MANIFOLDS AND A NO GO THEOREM

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\(G\)-structures and wrapped NS\(5\)-branes

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Supergravity as generalised geometry I: type II theories

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Generalised structures for \( \mathcal{N}=1 \) AdS backgrounds

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Kählerian Coset Spaces of Semisimple Lie Groups

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Fine structure of reductive pseudo-Kählerian spaces

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Moduli spaces and brane solitons for M-theory compactifications on holonomy \(G_2\) manifolds

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Superconformal symmetry, supergravity and cosmology

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Generalized Kähler geometry

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CFT's from Calabi-Yau four-folds

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Solitons, superpotentials and calibrations.

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Five-brane effective action in \(M\)-theory

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M-theory compactifications on manifolds with <i>G</i> <sub>2</sub> structure

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Generalized \(N=1\) orientifold compactifications and the Hitchin functionals

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From ten to four and back again: how to generalize the geometry

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Hyperkähler metrics and supersymmetry

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The Hamiltonian geometry of the space of unitary connections with symplectic curvature

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On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I

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Supersymmetric \(E_{7(7)}\) exceptional field theory

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An obstruction to the existence of Einstein Kaehler metrics

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Deformation of Dirac Structures via L∞ Algebras

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An example of a compact calibrated manifold associated with the exceptional Lie group \(G_ 2\)

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New supersymmetric vacua on solvmanifolds

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Deformations of calibrated D-branes in flux generalized complex manifolds

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The infinitesimal moduli space of heterotic \(G_2\) systems

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Superpotential of three dimensional \(\mathcal{N} = 1\) heterotic supergravity

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Marginal deformations of heterotic \(G_2\) sigma models

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Generalised geometry for string corrections

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TOPOLOGICAL STRINGS ON NONCOMMUTATIVE MANIFOLDS

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Topological sigma-models with \(H\)-flux and twisted generalized complex manifolds

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Topological strings in generalized complex space

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Topological M-theory as unification of form theories of gravity

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The topological \(G_{2}\) string

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<i>G</i> <sub>2</sub> Hitchin functionals at one loop

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Finiteness of Ricci flat \(N=2\) supersymmetric \(\sigma\)-models

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Supersymmetry breaking by fluxes

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Identifiers

zbMATH Open document ID

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10.1007/JHEP01(2021)158

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2024301

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