11 problems

In the parabolic toroidal flux model, the M-theory lift of the non-geometric background has a seven-dimensional phase space, identified with an affine space on the vector space…

Let $R$-flux denote the non-geometric flux associated with locally non-geometric backgrounds, and let non-associativity refer to the failure of an induced product to satisfy associ…

Bivector-potential conjecture. The potential of $R$-flux is conjectured to be given by a bivector field $\beta$.

Consider the $SO(32)$ heterotic string compactified on a two-torus with constant abelian gauge flux, which is S-dual to the Type I string with the same gauge flux. T-duality in one…

Let ${\cal X}^{1},{\cal X}^{2},{\cal X}^{3}$ denote the closed-string coordinate operators in an $R$-flux background, and let $R^{123}$ be the corresponding $R$-flux component. Wri…

Let $Z^{\mu}(\tau,\sigma)$ denote the closed-string coordinate fields, let $Q_{\rho}{}^{\mu\nu}(Z)$ be the non-geometric $Q$-flux, and let $C^{\rho}$ be a cycle around which the cl…

Non-associative gravity conjecture. The effective action of a non-geometric closed-string background should be described by a non-associative version of gravity.

Generalized NSNS action conjecture. Rewriting the NSNS action without the simplifying assumption that $\tilde{\beta}$ obeys the integrability condition should give

Let the initial closed-string model carry non-geometric $R$-flux, and let an asymmetric version of the WZW model denote a conformal field theory with asymmetric left- and right-mov…

Consider the non-geometric $R$-flux model and the asymmetric Kac–Moody conformal field theory $\widehat{su}(2)_k^{+-}$, whose anti-holomorphic current algebra has the opposite sign…

Let the non-geometric $R$-flux background be described by a conformal field theory, and let the WZW model be the conformal field theory defined via the representation theory of the…