Supersymmetric dS/CFT

We put forward new explicit realisations of dS/CFT that relate ${\cal N}=2$ supersymmetric Euclidean vector models with reversed spin-statistics in three dimensions to specific supersymmetric Vasiliev theories in four-dimensional de Sitter space. The partition function of the free supersymmetric vector model deformed by a range of low spin deformations that preserve supersymmetry appears to specify a well-defined wave function with asymptotic de Sitter boundary conditions in the bulk. In particular we find the wave function is globally peaked at undeformed de Sitter space, with a low amplitude for strong deformations. This suggests that supersymmetric de Sitter space is stable in higher-spin gravity and in particular free from ghosts. We speculate this is a limiting case of the de Sitter realizations in exotic string theories.Comment: V2: references and comments added, typos corrected, version published in JHEP; 27 pages, 3 figures, 1 tabl

Structure and composition of Gmelin larch forests in different sites.

<p>Values represent mean ± standard error (n = 3). Different letters in each column indicate significant differences among sites (post-Duncan test, P<0.05).</p

Stand density of <i>Pinus koraiensis</i> (a), total basal area of <i>Pinus koraiensis</i> (b), stand density of other conifers (c), total basal area of other conifers (d), stand density of broadleaves (e), total basal area of broadleaves (f) of <i>Pinus koraiensis</i> and other conifers (<i>Abies</i> and <i>Picea</i> and <i>Larix</i>) and broadleaf trees (broadleaves) in the ten sites (from left to right: Kuandian, Dongsheng, Liangshui, Shengshan and Changbai from A to F) observed under current condition and modeled under current climate and under +2°C and +10% precipitation scenario and under +4°C and +10% precipitation scenario (using the currently observed MeanDBH_Pinus values).

<p>Stand density of <i>Pinus koraiensis</i> (a), total basal area of <i>Pinus koraiensis</i> (b), stand density of other conifers (c), total basal area of other conifers (d), stand density of broadleaves (e), total basal area of broadleaves (f) of <i>Pinus koraiensis</i> and other conifers (<i>Abies</i> and <i>Picea</i> and <i>Larix</i>) and broadleaf trees (broadleaves) in the ten sites (from left to right: Kuandian, Dongsheng, Liangshui, Shengshan and Changbai from A to F) observed under current condition and modeled under current climate and under +2°C and +10% precipitation scenario and under +4°C and +10% precipitation scenario (using the currently observed MeanDBH_Pinus values).</p

Matrix of two-tailed partial correlation coefficients between every included dependent variable and the independent variables excluded from its model, controlling for the independent variable(s) included in its model.

<p>“–” indicates controlling for that variable. Significance level:^NS Non-significant (P>0.05), *P<0.05, **P<0.01 (n = 12).</p

Location of study sites in Heilongjiang Province of Northeast China.

<p>Location of study sites in Heilongjiang Province of Northeast China.</p

The 23 Variables and their abbreviations used in the study.

<p>The 23 Variables and their abbreviations used in the study.</p

Location and species of Gmelin larch forests in different sites and plots.

<p>Location and species of Gmelin larch forests in different sites and plots.</p

Matrix of two-tailed partial correlation coefficients between every dependent variable and the independent variables excluded from its model, controlling for the independent variable(s) included in its model.

<p>“–” indicates controlling for that variable. Significance level:^NS (Non-significant) P>0.05.</p><p>*P<0.05.</p><p>**P<0.01 (n = 30).</p

Composition and structure of <i>Pinus koraiensis</i> mixed forests in different sites.

<p>Values represent mean ± standard error (n = 3). Different letters in each column indicate significant differences among sites (post-Duncan test, P<0.05).</p

Variables and their abbreviations used in the study.

<p>Variables and their abbreviations used in the study.</p