Not signed in

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

Site Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).

nLab > Latest Changes: super anti de Sitter spacetime

Bottom of Page

1 to 10 of 10

- 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
- 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 $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>AdS</mi> <mn>5</mn></msub><mo>×</mo><msup><mi>S</mi> <mn>5</mn></msup></mrow><annotation encoding="application/x-tex">AdS_5 \times S^5</annotation></semantics></math>$ .

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
- 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 $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>SU</mi><mo stretchy="false">(</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo stretchy="false">|</mo><mn>5</mn><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">SU(2,2|5)</annotation></semantics></math>$ should be $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>SU</mi><mo stretchy="false">(</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo stretchy="false">|</mo><mn>4</mn><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">SU(2,2|4)</annotation></semantics></math>$ , as here.

And is the $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>d</mi><mo>=</mo><mn>4</mn></mrow><annotation encoding="application/x-tex">d=4</annotation></semantics></math>$ entry right? Duff speaks of

$<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>OSp</mi><mo stretchy="false">(</mo><mn>4</mn><mo stretchy="false">|</mo><mn>8</mn><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">OSp(4|8)</annotation></semantics></math>$ , $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>SU</mi><mo stretchy="false">(</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo stretchy="false">|</mo><mn>4</mn><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">SU(2,2|4)</annotation></semantics></math>$ and $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>OSp</mi><mo stretchy="false">(</mo><mn>6</mn><mo>,</mo><mn>2</mn><mo stretchy="false">|</mo><mn>4</mn><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">OSp(6,2|4)</annotation></semantics></math>$ (Table 1, p. 2, or p.3 of this pdf)

Confusingly, in Table 3 Duff has $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>OSp</mi><mo stretchy="false">(</mo><mn>8</mn><mo stretchy="false">|</mo><mn>4</mn><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">OSp(8|4)</annotation></semantics></math>$ but then proceeds to speak of it as $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>OSp</mi><mo stretchy="false">(</mo><mn>4</mn><mo stretchy="false">|</mo><mn>8</mn><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">OSp(4|8)</annotation></semantics></math>$ .
- 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 $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>OSp</mi><mo stretchy="false">(</mo><mn>8</mn><mo stretchy="false">|</mo><mn>4</mn><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">OSp(8|4)</annotation></semantics></math>$ in OSp supergroup manifolds, superparticles and supertwistors.
- 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
- 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) [[arXiv:0811.1566](https://arxiv.org/abs/0811.1566)] <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 $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>AdS</mi> <mn>4</mn></msub><mo>×</mo><mi>ℂ</mi><msup><mi>P</mi> <mn>3</mn></msup></mrow><annotation encoding="application/x-tex">AdS_4 \times \mathbb{C}P^3</annotation></semantics></math>$ superspace for the type IIA superstring and D-branes, JHEP 0903:015 (2009) [arXiv:0811.1566]
diff, v16, current
- 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 [<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)] <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 $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>AdS</mi> <mn>4</mn></msub><mo>×</mo><msup><mi>S</mi> <mn>7</mn></msup></mrow><annotation encoding="application/x-tex">AdS_4 \times S^7</annotation></semantics></math>$ and $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>AdS</mi> <mn>7</mn></msub><mo>×</mo><msup><mi>S</mi> <mn>4</mn></msup></mrow><annotation encoding="application/x-tex">AdS_7 \times S^4</annotation></semantics></math>$ , Physics Letters B 443 1-4 (1998) 153-158 [doi:10.1016/S0370-2693(98)01340-9, inspire:474621]
diff, v16, current
- 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) [[arXiv:hep-th/9805217](https://arxiv.org/abs/hep-th/9805217)] <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
- 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 [[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>] <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 $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Osp</mi><mo stretchy="false">(</mo><mn>8</mn><mo stretchy="false">|</mo><mn>4</mn><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">Osp(8|4)</annotation></semantics></math>$ 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
- 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 [<a href="https://doi.org/10.1016/0370-2693(83)90903-6">doi:10.1016/0370-2693(83)90903-6</a>] 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 $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>D</mi><mo>=</mo><mn>11</mn></mrow><annotation encoding="application/x-tex">D=11</annotation></semantics></math>$ 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 $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>AdS</mi> <mn>4</mn></msub><mo>×</mo><msup><mi>S</mi> <mn>7</mn></msup></mrow><annotation encoding="application/x-tex">AdS_4 \times S^7</annotation></semantics></math>$ is a coset space of $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>OSp</mi><mo stretchy="false">(</mo><mn>8</mn><mo stretchy="false">|</mo><mn>4</mn><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">OSp(8\vert 4)</annotation></semantics></math>$ .

diff, v18, current

1 to 10 of 10

nForum

Discussion Feed

Not signed in

Site Tag Cloud

nLab > Latest Changes: super anti de Sitter spacetime