16 problems

Vafa's flux mirror symmetry conjecture
arXiv@arxiv
Mirror symmetry concerns pairs of Calabi–Yau compactifications related by exchanging the geometric data of the two theories. In the flux setting, one considers compactifications of…
Conjecturesolvedflux-compactifications mirror-symmetry string-theory
0
Gurrieri et al.'s flux mirror symmetry conjecture for half-flat manifolds
arXiv@arxiv
Let $\mathscr{W}$ be a Calabi–Yau manifold, and let $\mathscr{M}$ be its canonical mirror dual in the absence of fluxes. Consider type IIB (A) string theory compactified on…
Conjecturesolvedflux-compactifications half-flat-manifolds mirror-symmetry
2
Bena et al.'s tadpole conjecture
arXiv@arxiv
Tadpole conjecture. The tadpole contribution satisfies
Conjectureopenalgebraic-geometry flux-compactifications hodge-theory
1
Flux-integrability conjecture for central extensions of generalized current algebras
arXiv@arxiv
Let $\mathcal{M}$ be an internal manifold with isometries, let $\mathfrak{g}(\mathcal{M})$ be its generalized Kac–Moody current algebra, and let flux backgrounds define the reduced…
Conjectureopencentral-extensions flux-compactifications supergravity
0
The flux mirror-symmetry conjecture for moduli cohomologies
arXiv@arxiv
Flux mirror-symmetry conjecture. For every flux background $(M,H,F)$ , there exists a mirror background $(\tilde M,\tilde H,\tilde F)$ whose moduli satisfy these correspondences. A…
Conjectureopencohomology flux-compactifications mirror-symmetry
1
The quantitative tadpole conjecture for flux-stabilized moduli
arXiv@arxiv
Consider a flux background in which a number of moduli are fixed, and let the background satisfy a tadpole constraint. Quantitative tadpole conjecture. The tadpole should grow appr…
Conjectureopenflux-compactifications moduli-stabilization string-theory
0
The tadpole conjecture for flux stabilization of complex-structure moduli
arXiv@arxiv
Let a Calabi–Yau compactification have a large number of complex-structure moduli, and let background fluxes be subject to the tadpole bound. Tadpole conjecture. It should be impos…
Conjectureopenflux-compactifications moduli-stabilization string-theory
0
The tadpole conjecture on stabilized moduli
arXiv@arxiv
Consider fluxes that stabilize moduli in a flux compactification, and let the tadpole charge be the charge induced by those fluxes. Tadpole conjecture. The tadpole charge induced b…
Conjectureopenflux-compactifications moduli-stabilization string-compactifications
0
Flux-dependent identification conjecture for exceptional QP-manifolds
arXiv@arxiv
Flux-dependent identification conjecture. For each flux configuration ${F^C}_{AB}$ , an identification like $t^{(1)}_M\sim {A_M}^N z_N$ exists.
Conjectureopenexceptional-field-theory flux-compactifications qp-manifolds
0
The closed-defining-form conjecture for higher-derivative corrections
arXiv@arxiv
Consider a flux background whose defining three-form receives higher-derivative corrections. Let the corrected defining three-form be the three-form specifying the corrected geomet…
Conjectureopenflux-compactifications generalised-geometry higher-derivative-corrections
0
The scale-separation conjecture for classical de Sitter solutions
arXiv@arxiv
Scale-separation conjecture. Classical de Sitter solutions cannot have at the same time a large internal volume, a small string coupling, a bounded number of orientifolds and quant…
Conjectureopende-sitter-solutions flux-compactifications string-theory
0
The instability conjecture for classical de Sitter solutions with intersecting sources
arXiv@arxiv
Intersecting-source instability conjecture. Classical de Sitter solutions with intersecting sources are unstable.
Conjectureopende-sitter-solutions flux-compactifications string-theory
0
The parallel-source conjecture for classical de Sitter solutions
arXiv@arxiv
Parallel-source conjecture. There is no classical de Sitter solution with parallel sources.
Conjectureopende-sitter-solutions flux-compactifications string-theory
0
Nonassociative phase-space algebra after three T-dualities
arXiv@arxiv
Nonassociative phase-space algebra conjecture. After three T-dualities, the coordinates satisfy a nonassociative phase-space coordinate algebra whose Jacobiator reproduces this 3-b…
Conjectureopenflux-compactifications nonassociative-geometry t-duality
0
The closed-string three-bracket conjecture for three-form flux
arXiv@arxiv
In a closed-string background with three-form flux, let $x^a$ , $x^b$ , and $x^c$ denote space-time coordinates, and let $[x^a,x^b,x^c]$ be their three-bracket. Three-bracket conject…
Conjectureopenflux-compactifications nonassociative-geometry string-theory
0
Conjecture on the fate of non-charge-contributing fluxes after the transition
arXiv@arxiv
Let the compact geometry have sixteen nodes locally modeled on conifolds, with RR-flux through an $mathcal A_i$ -cycle and RR-flux through the $mathcal B$ -cycle. Consider fluxes who…
Conjectureopenflux-compactifications geometric-transitions string-theory
1