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nLab > Latest Changes: 3-brane in 6d

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- CommentRowNumber1.
- CommentAuthorUrs
- CommentTimeAug 27th 2013
- (edited Aug 27th 2013)
- PermaLink
Author: Urs
Format: MarkdownItexI am trying to give more of the entries of the [[brane scan]] in low ambient dimension their proper names. Next to the [[little string]] in $D = 6$ the brane scan says that there is a Green-Schwarz action functional for a 3-brane $\sigma$-model in $D = 6$. This has been first written down in * James Hughes, Jun Liu, Joseph Polchinski, _Supermembranes_, Physics Letters B Volume 180, Issue 4, 20 November 1986, Pages 370–374 but it seems to go by no specific name apart from "the 3-brane in 6d". So I created a stub entry with that title, _[[3-brane in 6d]]_.
I am trying to give more of the entries of the brane scan in low ambient dimension their proper names.

Next to the little string in $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>D</mi><mo>=</mo><mn>6</mn></mrow><annotation encoding="application/x-tex">D = 6</annotation></semantics></math>$ the brane scan says that there is a Green-Schwarz action functional for a 3-brane $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>σ</mi></mrow><annotation encoding="application/x-tex">\sigma</annotation></semantics></math>$ -model in $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>D</mi><mo>=</mo><mn>6</mn></mrow><annotation encoding="application/x-tex">D = 6</annotation></semantics></math>$ . This has been first written down in
- James Hughes, Jun Liu, Joseph Polchinski, Supermembranes, Physics Letters B Volume 180, Issue 4, 20 November 1986, Pages 370–374
but it seems to go by no specific name apart from “the 3-brane in 6d”. So I created a stub entry with that title, 3-brane in 6d.
- CommentRowNumber2.
- CommentAuthorUrs
- CommentTimeSep 2nd 2013
- PermaLink
Author: Urs
Format: MarkdownItexadded more references to _[[3-brane in 6d]]_ on how it appears inside the M5

added more references to 3-brane in 6d on how it appears inside the M5
- CommentRowNumber3.
- CommentAuthorUrs
- CommentTimeMar 23rd 2020
- PermaLink
Author: Urs
Format: MarkdownItexadded these pointers on the relation to [[D=4 N=2 super Yang-Mills theory]]: * [[Paul Howe]], [[Neil Lambert]], [[Peter West]], _Classical M-Fivebrane Dynamics and Quantum $N=2$ Yang-Mills_, Phys. Lett. B418 (1998) 85-90 ([arXiv:hep-th/9710034](https://arxiv.org/abs/hep-th/9710034)) * [[Neil Lambert]], [[Peter West]], _Gauge Fields and M-Fivebrane Dynamics_, Nucl. Phys. B524 (1998) 141-158 ([arXiv:hep-th/9712040](https://arxiv.org/abs/hep-th/9712040)) * [[Neil Lambert]], [[Peter West]], _$N=2$ Superfields and the M-Fivebrane_, Phys. Lett. B424 (1998) 281-287 ([arXiv:hep-th/9801104](https://arxiv.org/abs/hep-th/9801104)) * [[Neil Lambert]], [[Peter West]], _Monopole Dynamics from the M-Fivebrane_, Nucl. Phys. B556 (1999) 177-196 ([arXiv:hep-th/9811025](https://arxiv.org/abs/hep-th/9811025)) <a href="https://ncatlab.org/nlab/revision/diff/3-brane+in+6d/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/3-brane+in+6d/9">v9</a>, <a href="https://ncatlab.org/nlab/show/3-brane+in+6d">current</a>
added these pointers on the relation to D=4 N=2 super Yang-Mills theory:
- Paul Howe, Neil Lambert, Peter West, Classical M-Fivebrane Dynamics and Quantum $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>=</mo><mn>2</mn></mrow><annotation encoding="application/x-tex">N=2</annotation></semantics></math>$ Yang-Mills, Phys. Lett. B418 (1998) 85-90 (arXiv:hep-th/9710034)
- Neil Lambert, Peter West, Gauge Fields and M-Fivebrane Dynamics, Nucl. Phys. B524 (1998) 141-158 (arXiv:hep-th/9712040)
- Neil Lambert, Peter West, $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>=</mo><mn>2</mn></mrow><annotation encoding="application/x-tex">N=2</annotation></semantics></math>$ Superfields and the M-Fivebrane, Phys. Lett. B424 (1998) 281-287 (arXiv:hep-th/9801104)
- Neil Lambert, Peter West, Monopole Dynamics from the M-Fivebrane, Nucl. Phys. B556 (1999) 177-196 (arXiv:hep-th/9811025)
diff, v9, current
- CommentRowNumber4.
- CommentAuthorUrs
- CommentTimeMar 24th 2020
- PermaLink
Author: Urs
Format: MarkdownItexadded publication data for * [[Arkady Tseytlin]], _Harmonic superpositions of M-branes_, Nucl. Phys. B475 (1996) 149 ([arXiv:hep-th/9604035](https://arxiv.org/abs/hep-th/9604035), <a href="https://doi.org/10.1016/0550-3213(96)00328-8">doi:10.1016/0550-3213(96)00328-8</a>) <a href="https://ncatlab.org/nlab/revision/diff/3-brane+in+6d/10">diff</a>, <a href="https://ncatlab.org/nlab/revision/3-brane+in+6d/10">v10</a>, <a href="https://ncatlab.org/nlab/show/3-brane+in+6d">current</a>
added publication data for
- Arkady Tseytlin, Harmonic superpositions of M-branes, Nucl. Phys. B475 (1996) 149 (arXiv:hep-th/9604035, doi:10.1016/0550-3213(96)00328-8)
diff, v10, current
- CommentRowNumber5.
- CommentAuthorUrs
- CommentTimeDec 23rd 2021
- PermaLink
Author: Urs
Format: MarkdownItexadded brief remark on the interpretation of the 3-brane in 6d as the intersection of $M5 \perp M5$ <a href="https://ncatlab.org/nlab/revision/diff/3-brane+in+6d/13">diff</a>, <a href="https://ncatlab.org/nlab/revision/3-brane+in+6d/13">v13</a>, <a href="https://ncatlab.org/nlab/show/3-brane+in+6d">current</a>

added brief remark on the interpretation of the 3-brane in 6d as the intersection of $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>M</mi><mn>5</mn><mo>⊥</mo><mi>M</mi><mn>5</mn></mrow><annotation encoding="application/x-tex">M5 \perp M5</annotation></semantics></math>$

diff, v13, current
- CommentRowNumber6.
- CommentAuthorUrs
- CommentTimeDec 23rd 2021
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to: * [[Shamit Kachru]], [[Yaron Oz]], Zheng Yin, *Matrix Description of Intersecting M5 Branes* JHEP 9811:004, (1998) ([arXiv:hep-th/9803050](https://arxiv.org/abs/hep-th/9803050)) <a href="https://ncatlab.org/nlab/revision/diff/3-brane+in+6d/13">diff</a>, <a href="https://ncatlab.org/nlab/revision/3-brane+in+6d/13">v13</a>, <a href="https://ncatlab.org/nlab/show/3-brane+in+6d">current</a>
added pointer to:
- Shamit Kachru, Yaron Oz, Zheng Yin, Matrix Description of Intersecting M5 Branes JHEP 9811:004, (1998) (arXiv:hep-th/9803050)
diff, v13, current
- CommentRowNumber7.
- CommentAuthorUrs
- CommentTimeDec 23rd 2021
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to: * S. Bellucci1, N. Kozyrev, S. Krivonos, A Sutulin, *Component on-shell actions of supersymmetric 3-branes: I. 3-brane in $D = 6$, Class. Quantum Grav. **32** (2015) 035025 ([doi:10.1088/0264-9381/32/3/035025](https://iopscience.iop.org/article/10.1088/0264-9381/32/3/035025)) <a href="https://ncatlab.org/nlab/revision/diff/3-brane+in+6d/14">diff</a>, <a href="https://ncatlab.org/nlab/revision/3-brane+in+6d/14">v14</a>, <a href="https://ncatlab.org/nlab/show/3-brane+in+6d">current</a>
added pointer to:
- S. Bellucci1, N. Kozyrev, S. Krivonos, A Sutulin, *Component on-shell actions of supersymmetric 3-branes: I. 3-brane in $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>D</mi><mo>=</mo><mn>6</mn></mrow><annotation encoding="application/x-tex">D = 6</annotation></semantics></math>$ , Class. Quantum Grav. 32 (2015) 035025 (doi:10.1088/0264-9381/32/3/035025)
diff, v14, current
- CommentRowNumber8.
- CommentAuthorUrs
- CommentTimeJan 24th 2023
- (edited Jan 24th 2023)
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to todays' * [[Varun Gupta]], *More Holographic M5 branes in $AdS_7 \times S^4$* [[arXiv:2301.02528](https://arxiv.org/abs/2301.02528)] and its predecessor: * [[Varun Gupta]], *Holographic M5 branes in $AdS_7 \times S^4$*, J. High Energ. Phys. **2021** 32 (2021) [[arXiv:2109.08551](https://arxiv.org/abs/2109.08551), <a href="https://doi.org/10.1007/JHEP12(2021)032">doi:10.1007/JHEP12(2021)032</a>] <a href="https://ncatlab.org/nlab/revision/diff/3-brane+in+6d/17">diff</a>, <a href="https://ncatlab.org/nlab/revision/3-brane+in+6d/17">v17</a>, <a href="https://ncatlab.org/nlab/show/3-brane+in+6d">current</a>
added pointer to todays’
- Varun Gupta, More Holographic M5 branes in $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>AdS</mi> <mn>7</mn></msub><mo>×</mo><msup><mi>S</mi> <mn>4</mn></msup></mrow><annotation encoding="application/x-tex">AdS_7 \times S^4</annotation></semantics></math>$ [arXiv:2301.02528]
and its predecessor:
- Varun Gupta, Holographic M5 branes in $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>AdS</mi> <mn>7</mn></msub><mo>×</mo><msup><mi>S</mi> <mn>4</mn></msup></mrow><annotation encoding="application/x-tex">AdS_7 \times S^4</annotation></semantics></math>$ , J. High Energ. Phys. 2021 32 (2021) [arXiv:2109.08551, doi:10.1007/JHEP12(2021)032]
diff, v17, current
- CommentRowNumber9.
- CommentAuthorUrs
- CommentTimeJul 8th 2023
- PermaLink
Author: Urs
Format: MarkdownItexmore references on the 3-brane in 6d as an intersection of $M5 \perp M5$: * [[Hironori Mori]], *M-theory Perspectives on Codimension-2 Defects*, Osaka (2016) [[inspire:1519095](https://inspirehep.net/literature/1519095)] * [[Hironori Mori]], [[Yuji Sugimoto]], *Surface Operators from M-strings*, Phys. Rev. D **95** 026001 (2017) [[arXiv:1608.02849](https://arxiv.org/abs/1608.02849), [doi:10.1103/PhysRevD.95.026001](https://doi.org/10.1103/PhysRevD.95.026001)] <a href="https://ncatlab.org/nlab/revision/diff/3-brane+in+6d/18">diff</a>, <a href="https://ncatlab.org/nlab/revision/3-brane+in+6d/18">v18</a>, <a href="https://ncatlab.org/nlab/show/3-brane+in+6d">current</a>
more references on the 3-brane in 6d as an intersection of $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>M</mi><mn>5</mn><mo>⊥</mo><mi>M</mi><mn>5</mn></mrow><annotation encoding="application/x-tex">M5 \perp M5</annotation></semantics></math>$ :
- Hironori Mori, M-theory Perspectives on Codimension-2 Defects, Osaka (2016) [inspire:1519095]
- Hironori Mori, Yuji Sugimoto, Surface Operators from M-strings, Phys. Rev. D 95 026001 (2017) [arXiv:1608.02849, doi:10.1103/PhysRevD.95.026001]
diff, v18, current

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nLab > Latest Changes: 3-brane in 6d