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We describe how unbounded three--form fluxes can lead to families of $AdS_3 times S_7$ vacua, with constant dilaton profiles, in the $USp(32)$ model with brane supersymmetry breaking and in the $U(32)$ 0B model, if their (projective--)disk dilaton tadpoles are taken into account. We also describe how, in the $SO(16) times SO(16)$ heterotic model, if the torus vacuum energy $Lambda$ is taken into account, unbounded seven--form fluxes can support similar $AdS_7 times S_3$ vacua, while unbounded three--form fluxes, when combined with internal gauge fields, can support $AdS_3 times S_7$ vacua, which continue to be available even if $Lambda$ is neglected. In addition, special gauge field fluxes can support, in the $SO(16) times SO(16)$ heterotic model, a set of $AdS_{n}times S_{10-n}$ vacua, for all $n=2,..,8$. String loop and $alpha$ corrections appear under control when large form fluxes are allowed.
We study extremal curves associated with a functional which is linear in the curves torsion. The functional in question is known to capture the properties of entanglement entropy for two-dimensional conformal field theories with chiral anomalies and
We study codimension-even conical defects that contain a deficit solid angle around each point along the defect. We show that they lead to a delta function contribution to the Lovelock scalar and we compute the contribution by two methods. We then sh
We classify the geometries of the most general warped, flux AdS backgrounds of heterotic supergravity up to two loop order in sigma model perturbation theory. We show under some mild assumptions that there are no $AdS_n$ backgrounds with $n ot=3$. Mo
In this note we revisit some of the recent 10d and 4d arguments suggesting that uplifting of supersymmetric AdS vacua leads to flattening of the potential, preventing formation of dS vacua. We explain why the corresponding 10d approach is inconclusiv
We consider gravitational perturbations of 2D dilaton gravity systems and show that these can be recast into $Tbar{T}$-deformations (at least) under certain conditions, where $T$ means the energy-momentum tensor of the matter field coupled to a dilat