Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nforum nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeApr 23rd 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexcross-linked with _[[super Klein geometry]]_ <a href="https://ncatlab.org/nlab/revision/diff/super+anti+de+Sitter+spacetime/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/super+anti+de+Sitter+spacetime/9">v9</a>, <a href="https://ncatlab.org/nlab/show/super+anti+de+Sitter+spacetime">current</a>

   cross-linked with super Klein geometry

   diff, v9, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeAug 15th 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to [Metsaev-Tseytlin 98](https://ncatlab.org/nlab/show/super+anti+de+Sitter+spacetime#MetsaevTseytlin98) as the source for the syperstring super 3-cocyle on super $AdS_5 \times S^5$. Also added that, according to [arxiv:1808.04470, p. 5 and equation (5.5)](https://arxiv.org/abs/1808.04470), this was shown to trivialize _super left-invariantly_ in [Roiban-Siegel 00](https://ncatlab.org/nlab/show/super+anti+de+Sitter+spacetime#RoibanSiegel00) (?!) <a href="https://ncatlab.org/nlab/revision/diff/super+anti+de+Sitter+spacetime/12">diff</a>, <a href="https://ncatlab.org/nlab/revision/super+anti+de+Sitter+spacetime/12">v12</a>, <a href="https://ncatlab.org/nlab/show/super+anti+de+Sitter+spacetime">current</a>

   added pointer to Metsaev-Tseytlin 98 as the source for the syperstring super 3-cocyle on super $AdS_5 \times S^5$.

   Also added that, according to arxiv:1808.04470, p. 5 and equation (5.5), this was shown to trivialize super left-invariantly in Roiban-Siegel 00 (?!)

   diff, v12, current

3. • CommentRowNumber3.
   • CommentAuthorDavid_Corfield
   • CommentTimeFeb 21st 2020
   • (edited Feb 21st 2020)
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexPresumably the $SU(2,2|5)$ should be $SU(2,2|4)$, as [here](https://arxiv.org/abs/hep-th/9805028). And is the $d=4$ entry right? Duff speaks of >$OSp(4|8)$, $SU(2,2|4)$ and $OSp(6,2|4)$ (Table 1, p. 2, or p.3 of this [pdf](http://cds.cern.ch/record/362545/files/9808100.pdf)) Confusingly, in Table 3 Duff has $OSp(8|4)$ but then proceeds to speak of it as $OSp(4|8)$.

   Presumably the $SU(2,2|5)$ should be $SU(2,2|4)$, as here.

   And is the $d=4$ entry right? Duff speaks of

   $OSp(4|8)$, $SU(2,2|4)$ and $OSp(6,2|4)$ (Table 1, p. 2, or p.3 of this pdf)

   Confusingly, in Table 3 Duff has $OSp(8|4)$ but then proceeds to speak of it as $OSp(4|8)$.

4. • CommentRowNumber4.
   • CommentAuthorDavid_Corfield
   • CommentTimeFeb 21st 2020
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexBut $OSp(8|4)$ in [OSp supergroup manifolds, superparticles and supertwistors](https://arxiv.org/abs/hep-th/9907113).

   But $OSp(8|4)$ in OSp supergroup manifolds, superparticles and supertwistors.

5. • CommentRowNumber5.
   • CommentAuthorperezl.alonso
   • CommentTimeMar 8th 2024
   • PermaLink
   Author: perezl.alonso
   Format: MarkdownItexpointer * Sergei Kuzenko, Gabriele Tartaglino-Mazzucchelli. *Supertwistor realisations of AdS superspaces*. The European Physical Journal C 82, no. 2 (2022): 146. ([doi](https://doi.org/10.1140/epjc/s10052-022-10072-y)). <a href="https://ncatlab.org/nlab/revision/diff/super+anti+de+Sitter+spacetime/14">diff</a>, <a href="https://ncatlab.org/nlab/revision/super+anti+de+Sitter+spacetime/14">v14</a>, <a href="https://ncatlab.org/nlab/show/super+anti+de+Sitter+spacetime">current</a>

   pointer

   • Sergei Kuzenko, Gabriele Tartaglino-Mazzucchelli. Supertwistor realisations of AdS superspaces. The European Physical Journal C 82, no. 2 (2022): 146. (doi).

   diff, v14, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeApr 23rd 2024
   • (edited Apr 23rd 2024)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Jaume Gomis]], [[Dmitri Sorokin]], [[Linus Wulff]], *The complete $AdS_4 \times \mathbb{C}P^3$ superspace for the type IIA superstring and D-branes*, JHEP 0903:015 (2009) &lbrack;[arXiv:0811.1566](https://arxiv.org/abs/0811.1566)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/super+anti+de+Sitter+spacetime/16">diff</a>, <a href="https://ncatlab.org/nlab/revision/super+anti+de+Sitter+spacetime/16">v16</a>, <a href="https://ncatlab.org/nlab/show/super+anti+de+Sitter+spacetime">current</a>

   added pointer to:

   • Jaume Gomis, Dmitri Sorokin, Linus Wulff, The complete $AdS_4 \times \mathbb{C}P^3$ superspace for the type IIA superstring and D-branes, JHEP 0903:015 (2009) [arXiv:0811.1566]

   diff, v16, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeApr 23rd 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Bernard de Wit]], [[Kasper Peeters]], [[Jan Plefka]], [[Alexander Sevrin]], *The M-theory two-brane in $AdS_4 \times S^7$ and $AdS_7 \times S^4$*, Physics Letters B **443** 1-4 (1998) 153-158 &lbrack;<a href="https://doi.org/10.1016/S0370-2693(98)01340-9">doi:10.1016/S0370-2693(98)01340-9</a>, [inspire:474621](https://inspirehep.net/literature/474621)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/super+anti+de+Sitter+spacetime/16">diff</a>, <a href="https://ncatlab.org/nlab/revision/super+anti+de+Sitter+spacetime/16">v16</a>, <a href="https://ncatlab.org/nlab/show/super+anti+de+Sitter+spacetime">current</a>

   added pointer to:

   • Bernard de Wit, Kasper Peeters, Jan Plefka, Alexander Sevrin, The M-theory two-brane in $AdS_4 \times S^7$ and $AdS_7 \times S^4$, Physics Letters B 443 1-4 (1998) 153-158 [doi:10.1016/S0370-2693(98)01340-9, inspire:474621]

   diff, v16, current

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeApr 23rd 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Renata Kallosh]], J. Rahmfeld, A. Rajaraman, *Near Horizon Superspace*, JHEP 9809:002 (1998) &lbrack;[arXiv:hep-th/9805217](https://arxiv.org/abs/hep-th/9805217)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/super+anti+de+Sitter+spacetime/16">diff</a>, <a href="https://ncatlab.org/nlab/revision/super+anti+de+Sitter+spacetime/16">v16</a>, <a href="https://ncatlab.org/nlab/show/super+anti+de+Sitter+spacetime">current</a>

   added pointer to:

   • Renata Kallosh, J. Rahmfeld, A. Rajaraman, Near Horizon Superspace, JHEP 9809:002 (1998) [arXiv:hep-th/9805217]

   diff, v16, current

9. • CommentRowNumber9.
   • CommentAuthorUrs
   • CommentTimeApr 24th 2024
   • (edited Apr 24th 2024)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Gianguido Dall'Agata]], [[Davide Fabbri]], [[Christophe Fraser]], [[Pietro Fré]], [[Piet Termonia]], [[Mario Trigiante]], §4.1 in: *The $Osp(8|4)$ singleton action from the supermembrane*, Nucl. Phys. B **542** (1999) 157-194 &lbrack;[arXiv:hep-th/9807115](https://arxiv.org/abs/hep-th/9807115), <a href="https://doi.org/10.1016/S0550-3213(98)00765-2">doi:10.1016/S0550-3213(98)00765-2</a>&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/super+anti+de+Sitter+spacetime/18">diff</a>, <a href="https://ncatlab.org/nlab/revision/super+anti+de+Sitter+spacetime/18">v18</a>, <a href="https://ncatlab.org/nlab/show/super+anti+de+Sitter+spacetime">current</a>

   added pointer to:

   • Gianguido Dall’Agata, Davide Fabbri, Christophe Fraser, Pietro Fré, Piet Termonia, Mario Trigiante, §4.1 in: The $Osp(8|4)$ singleton action from the supermembrane, Nucl. Phys. B 542 (1999) 157-194 [arXiv:hep-th/9807115, doi:10.1016/S0550-3213(98)00765-2]

   diff, v18, current

10. • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeApr 24th 2024
    • (edited Apr 24th 2024)
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded pointer to: * [[Riccardo D'Auria]], [[Pietro Fré]]: *Spontaneous generation of symmetry in the spontaneous compactification of $D=11$ supergravity*, Physics Letters B **121** 2–3 (1983) 141-146 &lbrack;<a href="https://doi.org/10.1016/0370-2693(83)90903-6">doi:10.1016/0370-2693(83)90903-6</a>&rbrack; This seems to be the (or a) original form of the observation that super $AdS_4 \times S^7$ is a coset space of $OSp(8\vert 4)$. <a href="https://ncatlab.org/nlab/revision/diff/super+anti+de+Sitter+spacetime/18">diff</a>, <a href="https://ncatlab.org/nlab/revision/super+anti+de+Sitter+spacetime/18">v18</a>, <a href="https://ncatlab.org/nlab/show/super+anti+de+Sitter+spacetime">current</a>

    added pointer to:

    • Riccardo D’Auria, Pietro Fré: Spontaneous generation of symmetry in the spontaneous compactification of $D=11$ supergravity, Physics Letters B 121 2–3 (1983) 141-146 [doi:10.1016/0370-2693(83)90903-6]

    This seems to be the (or a) original form of the observation that super $AdS_4 \times S^7$ is a coset space of $OSp(8\vert 4)$.

    diff, v18, current