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nLab > Latest Changes: AdS3-CFT2 and CS-WZW correspondence

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- CommentRowNumber1.
- CommentAuthorUrs
- CommentTimeJul 2nd 2013
- (edited Jul 2nd 2013)
- PermaLink
Author: Urs
Format: MarkdownItexI have split off from _[[holographic principle]]_ and then expanded a good bit a few paragraphs on _[[AdS3-CFT2 and CS-WZW correspondence]]_ together with a few commented references, trying to amplify how this case is given by an actual well-known theorem and at the same time seems to be generic for the more general cases of AdS-CFT which are currently much more vague.

I have split off from holographic principle and then expanded a good bit a few paragraphs on

AdS3-CFT2 and CS-WZW correspondence

together with a few commented references, trying to amplify how this case is given by an actual well-known theorem and at the same time seems to be generic for the more general cases of AdS-CFT which are currently much more vague.
- CommentRowNumber2.
- CommentAuthorUrs
- CommentTimeJun 4th 2018
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to [Freed-Teleman 18](https://ncatlab.org/nlab/show/AdS3-CFT2+and+CS-WZW+correspondence#FreedTeleman18). Will add the same to other related entries: to _[[Ising model]]_ and _[[Turaev-Viro model]]_. <a href="https://ncatlab.org/nlab/revision/diff/AdS3-CFT2+and+CS-WZW+correspondence/14">diff</a>, <a href="https://ncatlab.org/nlab/revision/AdS3-CFT2+and+CS-WZW+correspondence/14">v14</a>, <a href="https://ncatlab.org/nlab/show/AdS3-CFT2+and+CS-WZW+correspondence">current</a>

added pointer to Freed-Teleman 18. Will add the same to other related entries: to Ising model and Turaev-Viro model.

diff, v14, current
- CommentRowNumber3.
- CommentAuthorDavid_Corfield
- CommentTimeJun 4th 2018
- PermaLink
Author: David_Corfield
Format: MarkdownItexI hadn't realised that [[∞-groupoid cardinality]] would appear as a partition function (9.1). But that seems to reflect its origin in Quinn 1995, Lectures on axiomatic topological quantum field theory.

I hadn’t realised that ∞-groupoid cardinality would appear as a partition function (9.1). But that seems to reflect its origin in Quinn 1995, Lectures on axiomatic topological quantum field theory.
- CommentRowNumber4.
- CommentAuthorUrs
- CommentTimeJun 4th 2018
- (edited Jun 4th 2018)
- PermaLink
Author: Urs
Format: MarkdownItexYes, that was a big topic when those pull-push formulas came up, I suppose you find this highlighted in some of Jeffrey Morton's articles, maybe it's [arXiv:1003.5603](https://arxiv.org/abs/1003.5603), I would need to check

Yes, that was a big topic when those pull-push formulas came up, I suppose you find this highlighted in some of Jeffrey Morton’s articles, maybe it’s arXiv:1003.5603, I would need to check
- CommentRowNumber5.
- CommentAuthorUrs
- CommentTimeNov 18th 2019
- PermaLink
Author: Urs
Format: MarkdownItexadded a bunch of references on $AdS_3/CFT_2$ realized on [[D2-D4-brane bound state]]-[[defect QFT|defects]] inside [[D6-D8 brane bound states]] and on [[D2-D6-brane bound state]]-[[defect QFT|defects]] inside [[D4-D8 brane bound states]] <a href="https://ncatlab.org/nlab/revision/diff/AdS3-CFT2+and+CS-WZW+correspondence/18">diff</a>, <a href="https://ncatlab.org/nlab/revision/AdS3-CFT2+and+CS-WZW+correspondence/18">v18</a>, <a href="https://ncatlab.org/nlab/show/AdS3-CFT2+and+CS-WZW+correspondence">current</a>

added a bunch of references on $AdS_3/CFT_2$ realized on D2-D4-brane bound state-defects inside D6-D8 brane bound states and on D2-D6-brane bound state-defects inside D4-D8 brane bound states

diff, v18, current
- CommentRowNumber6.
- CommentAuthorUrs
- CommentTimeNov 21st 2019
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to today's * Andrea Dei, [[Lorenz Eberhardt]], _Correlators of the symmetric product orbifold_ ([arXiv:1911.08485](https://arxiv.org/abs/1911.08485)) <a href="https://ncatlab.org/nlab/revision/diff/AdS3-CFT2+and+CS-WZW+correspondence/19">diff</a>, <a href="https://ncatlab.org/nlab/revision/AdS3-CFT2+and+CS-WZW+correspondence/19">v19</a>, <a href="https://ncatlab.org/nlab/show/AdS3-CFT2+and+CS-WZW+correspondence">current</a>
added pointer to today’s
- Andrea Dei, Lorenz Eberhardt, Correlators of the symmetric product orbifold (arXiv:1911.08485)
diff, v19, current
- CommentRowNumber7.
- CommentAuthorUrs
- CommentTimeDec 12th 2019
- (edited Dec 12th 2019)
- PermaLink
Author: Urs
Format: MarkdownItexadded more references on the relation of $CS_3/WZW_2$-duality to the [[AdS-CFT correspondence]]: * [[Per Kraus]], [[Finn Larsen]], _Partition functions and elliptic genera from supergravity_, JHEP 0701:002, 2007 ([arXiv:hep-th/0607138](https://arxiv.org/abs/hep-th/0607138)) * [[Per Kraus]], _Lectures on black holes and the $AdS_3/CFT_2$ correspondence_, Lect. Notes Phys.755:193-247, 2008 ([arXiv:hep-th/0609074](https://arxiv.org/abs/hep-th/0609074)) * Ville Keranen, _Chern-Simons interactions in AdS3 and the current conformal block_ ([arXiv:1403.6881](https://arxiv.org/abs/1403.6881)) <a href="https://ncatlab.org/nlab/revision/diff/AdS3-CFT2+and+CS-WZW+correspondence/21">diff</a>, <a href="https://ncatlab.org/nlab/revision/AdS3-CFT2+and+CS-WZW+correspondence/21">v21</a>, <a href="https://ncatlab.org/nlab/show/AdS3-CFT2+and+CS-WZW+correspondence">current</a>
added more references on the relation of $CS_3/WZW_2$ -duality to the AdS-CFT correspondence:
- Per Kraus, Finn Larsen, Partition functions and elliptic genera from supergravity, JHEP 0701:002, 2007 (arXiv:hep-th/0607138)
- Per Kraus, Lectures on black holes and the $AdS_3/CFT_2$ correspondence, Lect. Notes Phys.755:193-247, 2008 (arXiv:hep-th/0609074)
- Ville Keranen, Chern-Simons interactions in AdS3 and the current conformal block (arXiv:1403.6881)
diff, v21, current
- CommentRowNumber8.
- CommentAuthorUrs
- CommentTimeDec 13th 2019
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to * E. Gava, A.B. Hammou, J.F. Morales, K.S.Narain, _AdS/CFT correspondence and D1/D5 systems in theories with 16 supercharges_, JHEP 0103:035, 2001 ([arXiv:hep-th/0102043](https://arxiv.org/abs/hep-th/0102043)) <a href="https://ncatlab.org/nlab/revision/diff/AdS3-CFT2+and+CS-WZW+correspondence/22">diff</a>, <a href="https://ncatlab.org/nlab/revision/AdS3-CFT2+and+CS-WZW+correspondence/22">v22</a>, <a href="https://ncatlab.org/nlab/show/AdS3-CFT2+and+CS-WZW+correspondence">current</a>
added pointer to
- E. Gava, A.B. Hammou, J.F. Morales, K.S.Narain, AdS/CFT correspondence and D1/D5 systems in theories with 16 supercharges, JHEP 0103:035, 2001 (arXiv:hep-th/0102043)
diff, v22, current
- CommentRowNumber9.
- CommentAuthorUrs
- CommentTimeDec 17th 2019
- PermaLink
Author: Urs
Format: MarkdownItexadded this reference: * D.C.Cabra, G.L.Rossini, _Explicit connection between conformal field theory and 2+1 Chern-Simons theory_, Mod.Phys.Lett. A12 (1997) 1687-1697 ([arXiv:hep-th/9506054](https://arxiv.org/abs/hep-th/9506054)) <a href="https://ncatlab.org/nlab/revision/diff/AdS3-CFT2+and+CS-WZW+correspondence/23">diff</a>, <a href="https://ncatlab.org/nlab/revision/AdS3-CFT2+and+CS-WZW+correspondence/23">v23</a>, <a href="https://ncatlab.org/nlab/show/AdS3-CFT2+and+CS-WZW+correspondence">current</a>
added this reference:
- D.C.Cabra, G.L.Rossini, Explicit connection between conformal field theory and 2+1 Chern-Simons theory, Mod.Phys.Lett. A12 (1997) 1687-1697 (arXiv:hep-th/9506054)
diff, v23, current
- CommentRowNumber10.
- CommentAuthorUrs
- CommentTimeDec 24th 2019
- PermaLink
Author: Urs
Format: MarkdownItexadded this pointer on relations of [[AdS3/CFT2]] to [[hyperbolic geometry]] and [[Arakelov geometry]] of [[algebraic curves]]: * [[Yuri Manin]], [[Matilde Marcolli]], _Holography principle and arithmetic of algebraic curves_, Adv. Theor. Math. Phys. 5 (2002) 617-650 ([arXiv:hep-th/0201036](https://arxiv.org/abs/hep-th/0201036)) Am adding this also to other related entries <a href="https://ncatlab.org/nlab/revision/diff/AdS3-CFT2+and+CS-WZW+correspondence/32">diff</a>, <a href="https://ncatlab.org/nlab/revision/AdS3-CFT2+and+CS-WZW+correspondence/32">v32</a>, <a href="https://ncatlab.org/nlab/show/AdS3-CFT2+and+CS-WZW+correspondence">current</a>
added this pointer on relations of AdS3/CFT2 to hyperbolic geometry and Arakelov geometry of algebraic curves:
- Yuri Manin, Matilde Marcolli, Holography principle and arithmetic of algebraic curves, Adv. Theor. Math. Phys. 5 (2002) 617-650 (arXiv:hep-th/0201036)
Am adding this also to other related entries

diff, v32, current
- CommentRowNumber11.
- CommentAuthorUrs
- CommentTimeJan 8th 2020
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to today's * [[Kevin Costello]], [[Natalie Paquette]], _Twisted Supergravity and Koszul Duality: A case study in $AdS_3$_ ([arXiv:2001.02177](https://arxiv.org/abs/2001.02177)) <a href="https://ncatlab.org/nlab/revision/diff/AdS3-CFT2+and+CS-WZW+correspondence/35">diff</a>, <a href="https://ncatlab.org/nlab/revision/AdS3-CFT2+and+CS-WZW+correspondence/35">v35</a>, <a href="https://ncatlab.org/nlab/show/AdS3-CFT2+and+CS-WZW+correspondence">current</a>
added pointer to today’s
- Kevin Costello, Natalie Paquette, Twisted Supergravity and Koszul Duality: A case study in $AdS_3$ (arXiv:2001.02177)
diff, v35, current
- CommentRowNumber12.
- CommentAuthorUrs
- CommentTimeFeb 28th 2020
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to today's * [[Lorenz Eberhardt]], _$AdS_3/CFT_2$ at higher genus_ ([arXiv:2002.11729](https://arxiv.org/abs/2002.11729)) <a href="https://ncatlab.org/nlab/revision/diff/AdS3-CFT2+and+CS-WZW+correspondence/38">diff</a>, <a href="https://ncatlab.org/nlab/revision/AdS3-CFT2+and+CS-WZW+correspondence/38">v38</a>, <a href="https://ncatlab.org/nlab/show/AdS3-CFT2+and+CS-WZW+correspondence">current</a>
added pointer to today’s
- Lorenz Eberhardt, $AdS_3/CFT_2$ at higher genus (arXiv:2002.11729)
diff, v38, current
- CommentRowNumber13.
- CommentAuthorUrs
- CommentTimeMay 21st 2020
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to today's * Sanjit Shashi, _Quotient-AdS/BCFT: Holographic Boundary $CFT_2$ on $AdS_3$ Quotients_ ([arXiv:2005.10244](https://arxiv.org/abs/2005.10244)) <a href="https://ncatlab.org/nlab/revision/diff/AdS3-CFT2+and+CS-WZW+correspondence/39">diff</a>, <a href="https://ncatlab.org/nlab/revision/AdS3-CFT2+and+CS-WZW+correspondence/39">v39</a>, <a href="https://ncatlab.org/nlab/show/AdS3-CFT2+and+CS-WZW+correspondence">current</a>
added pointer to today’s
- Sanjit Shashi, Quotient-AdS/BCFT: Holographic Boundary $CFT_2$ on $AdS_3$ Quotients (arXiv:2005.10244)
diff, v39, current
- CommentRowNumber14.
- CommentAuthorUrs
- CommentTimeNov 6th 2020
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to today's * [[Tadashi Takayanagi]], Takahiro Uetoko, _Chern-Simons Gravity Dual of BCFT_ ([arXiv:2011.02513](https://arxiv.org/abs/2011.02513)) <a href="https://ncatlab.org/nlab/revision/diff/AdS3-CFT2+and+CS-WZW+correspondence/40">diff</a>, <a href="https://ncatlab.org/nlab/revision/AdS3-CFT2+and+CS-WZW+correspondence/40">v40</a>, <a href="https://ncatlab.org/nlab/show/AdS3-CFT2+and+CS-WZW+correspondence">current</a>
added pointer to today’s
- Tadashi Takayanagi, Takahiro Uetoko, Chern-Simons Gravity Dual of BCFT (arXiv:2011.02513)
diff, v40, current
- CommentRowNumber15.
- CommentAuthorUrs
- CommentTimeAug 7th 2022
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to: * [[Lorenz Eberhardt]], *A perturbative CFT dual for pure NS-NS $AdS_3$ strings*, J. Phys. A: Math. Theor. **55** 064001 [[arXiv:2110.07535](https://arxiv.org/abs/2110.07535), [arXiv:10.1088/1751-8121/ac47b2](https://doi.org/10.1088/1751-8121/ac47b2)] * Kiarash Naderi, *DDF operators in the Hybrid Formalism* [[arXiv:2208.01617](https://arxiv.org/abs/2208.01617)] <a href="https://ncatlab.org/nlab/revision/diff/AdS3-CFT2+and+CS-WZW+correspondence/42">diff</a>, <a href="https://ncatlab.org/nlab/revision/AdS3-CFT2+and+CS-WZW+correspondence/42">v42</a>, <a href="https://ncatlab.org/nlab/show/AdS3-CFT2+and+CS-WZW+correspondence">current</a>
added pointer to:
- Lorenz Eberhardt, A perturbative CFT dual for pure NS-NS $AdS_3$ strings, J. Phys. A: Math. Theor. 55 064001 [arXiv:2110.07535, arXiv:10.1088/1751-8121/ac47b2]
- Kiarash Naderi, DDF operators in the Hybrid Formalism [arXiv:2208.01617]
diff, v42, current
- CommentRowNumber16.
- CommentAuthorUrs
- CommentTimeApr 14th 2023
- PermaLink
Author: Urs
Format: MarkdownItexadded this pointer: * [[Owen Gwilliam]], [[Eugene Rabinovich]], [[Brian R. Williams]], *Factorization algebras and abelian CS/WZW-type correspondences*, Pure and Applied Mathematics Quarterly **18** 4 (2022) 1485–1553 [[arXiv:2001.07888](https://arxiv.org/abs/2001.07888), [doi:10.4310/PAMQ.2022.v18.n4.a7](https://dx.doi.org/10.4310/PAMQ.2022.v18.n4.a7)] <a href="https://ncatlab.org/nlab/revision/diff/AdS3-CFT2+and+CS-WZW+correspondence/44">diff</a>, <a href="https://ncatlab.org/nlab/revision/AdS3-CFT2+and+CS-WZW+correspondence/44">v44</a>, <a href="https://ncatlab.org/nlab/show/AdS3-CFT2+and+CS-WZW+correspondence">current</a>
added this pointer:
- Owen Gwilliam, Eugene Rabinovich, Brian R. Williams, Factorization algebras and abelian CS/WZW-type correspondences, Pure and Applied Mathematics Quarterly 18 4 (2022) 1485–1553 [arXiv:2001.07888, doi:10.4310/PAMQ.2022.v18.n4.a7]
diff, v44, current
- CommentRowNumber17.
- CommentAuthorUrs
- CommentTimeJun 28th 2023
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to: * [[Marco Benini]], [[Alastair Grant-Stuart]], [[Alexander Schenkel]], *The linear CS/WZW bulk/boundary system in AQFT*, Annales Henri Poincaré (2023) [[arXiv:2302.06990](https://arxiv.org/abs/2302.06990)] <a href="https://ncatlab.org/nlab/revision/diff/AdS3-CFT2+and+CS-WZW+correspondence/45">diff</a>, <a href="https://ncatlab.org/nlab/revision/AdS3-CFT2+and+CS-WZW+correspondence/45">v45</a>, <a href="https://ncatlab.org/nlab/show/AdS3-CFT2+and+CS-WZW+correspondence">current</a>
added pointer to:
- Marco Benini, Alastair Grant-Stuart, Alexander Schenkel, The linear CS/WZW bulk/boundary system in AQFT, Annales Henri Poincaré (2023) [arXiv:2302.06990]
diff, v45, current
- CommentRowNumber18.
- CommentAuthorUrs
- CommentTimeJul 10th 2023
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to today's * Gabriele Di Ubaldo, Eric Perlmutter, *$AdS_3/RMT_2$ Duality* [[arXiv:2307.03707](https://arxiv.org/abs/2307.03707)] <a href="https://ncatlab.org/nlab/revision/diff/AdS3-CFT2+and+CS-WZW+correspondence/46">diff</a>, <a href="https://ncatlab.org/nlab/revision/AdS3-CFT2+and+CS-WZW+correspondence/46">v46</a>, <a href="https://ncatlab.org/nlab/show/AdS3-CFT2+and+CS-WZW+correspondence">current</a>
added pointer to today’s
- Gabriele Di Ubaldo, Eric Perlmutter, $AdS_3/RMT_2$ Duality [arXiv:2307.03707]
diff, v46, current

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nLab > Latest Changes: AdS3-CFT2 and CS-WZW correspondence