Higgsing the stringy higher spin symmetry

Gaberdiel, Matthias R.; Peng, Cheng; Zadeh, Ida G.

doi:10.1007/JHEP10(2015)101

Title: Higgsing the stringy higher spin symmetry

Journal Article · 30 September 2015 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP10(2015)101 · OSTI ID:1434618

Gaberdiel, Matthias R. ^[1]; Peng, Cheng ^[2]; Zadeh, Ida G. ^[3]

ETH Zurich (Switzerland); Brandeis University, Waltham, MA, USA
ETH Zurich (Switzerland)
Brandeis Univ., Waltham, MA (United States)

It has recently been argued that the symmetric orbifold theory of T⁴ is dual to string theory on AdS₃ × S³ × T⁴ at the tensionless point. At this point in moduli space, the theory possesses a very large symmetry algebra that includes, in particular, a W ∞ algebra capturing the gauge fields of a dual higher spin theory. Using conformal perturbation theory, we study the behaviour of the symmetry generators of the symmetric orbifold theory under the deformation that corresponds to switching on the string tension. We show that the generators fall nicely into Regge trajectories, with the higher spin fields corresponding to the leading Regge trajectory. We also estimate the form of the Regge trajectories for large spin, and find evidence for the familiar logarithmic behaviour, thereby suggesting that the symmetric orbifold theory is dual to an AdS background with pure RR flux.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Brandeis Univ., Waltham, MA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0009987

OSTI ID:: 1434618

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2015; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (45)

Quantum AdS 5 × S 5 superstring in the AdS light-cone gauge Giombi, S.; Ricci, R.; Roiban, R. Journal of High Energy Physics, Vol. 2010, Issue 3 https://doi.org/10.1007/JHEP03(2010)003	journal	March 2010
On the coset duals of extended higher spin theories Candu, Constantin; Vollenweider, Carl Journal of High Energy Physics, Vol. 2014, Issue 4 https://doi.org/10.1007/JHEP04(2014)145	journal	April 2014
The symmetry of large $ \mathcal{N} $ = 4 holography Gaberdiel, Matthias R.; Peng, Cheng Journal of High Energy Physics, Vol. 2014, Issue 5 https://doi.org/10.1007/JHEP05(2014)152	journal	May 2014
Marginal deformations and the Higgs phenomenon in higher spin AdS3 holography Hikida, Yasuaki; Rønne, Peter B. Journal of High Energy Physics, Vol. 2015, Issue 7 https://doi.org/10.1007/JHEP07(2015)125	journal	July 2015
Large $ \mathcal{N} $ = 4 holography Gaberdiel, Matthias R.; Gopakumar, Rajesh Journal of High Energy Physics, Vol. 2013, Issue 9 https://doi.org/10.1007/JHEP09(2013)036	journal	September 2013
Perturbations of $ \mathcal{W} $ ∞ CFTs Gaberdiel, Matthias R.; Jin, Kewang; Li, Wei Journal of High Energy Physics, Vol. 2013, Issue 10 https://doi.org/10.1007/JHEP10(2013)162	journal	October 2013
Spinning strings and minimal surfaces in AdS 3 with mixed 3-form fluxes David, Justin R.; Sadhukhan, Abhishake Journal of High Energy Physics, Vol. 2014, Issue 10 https://doi.org/10.1007/JHEP10(2014)049	journal	October 2014
Higher spin AdS3 holography with extended supersymmetry Creutzig, Thomas; Hikida, Yasuaki; Rønne, Peter B. Journal of High Energy Physics, Vol. 2014, Issue 10 https://doi.org/10.1007/JHEP10(2014)163	journal	October 2014
Extended higher spin holography and Grassmannian models Creutzig, Thomas; Hikida, Yasuaki; Rønne, Peter B. Journal of High Energy Physics, Vol. 2013, Issue 11 https://doi.org/10.1007/JHEP11(2013)038	journal	November 2013
Higher spins & strings Gaberdiel, Matthias R.; Gopakumar, Rajesh Journal of High Energy Physics, Vol. 2014, Issue 11 https://doi.org/10.1007/JHEP11(2014)044	journal	November 2014
Extended supersymmetry in AdS3 higher spin theories Candu, Constantin; Peng, Cheng; Vollenweider, Carl Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)113	journal	December 2014
Review of AdS/CFT Integrability: An Overview Beisert, Niklas; Ahn, Changrim; Alday, Luis F. Letters in Mathematical Physics, Vol. 99, Issue 1-3 https://doi.org/10.1007/s11005-011-0529-2	journal	October 2011
Fusion rules of chiral algebras Gaberdiel, Matthias Nuclear Physics B, Vol. 417, Issue 1-2 https://doi.org/10.1016/0550-3213(94)90540-1	journal	April 1994
Microscopic formulation of black holes in string theory David, Justin R.; Mandal, Gautam; Wadia, Spenta R. Physics Reports, Vol. 369, Issue 6 https://doi.org/10.1016/S0370-1573(02)00271-5	journal	November 2002
Large N field theories, string theory and gravity Aharony, Ofer; Gubser, Steven S.; Maldacena, Juan Physics Reports, Vol. 323, Issue 3-4 https://doi.org/10.1016/S0370-1573(99)00083-6	journal	January 2000
Large spin strings in AdS3 Loewy, Amit; Oz, Yaron Physics Letters B, Vol. 557, Issue 3-4 https://doi.org/10.1016/S0370-2693(03)00196-5	journal	April 2003
Nonlinear equations for symmetric massless higher spin fields in (A)dSd Vasiliev, M. A. Physics Letters B, Vol. 567, Issue 1-2 https://doi.org/10.1016/S0370-2693(03)00872-4	journal	August 2003
A semi-classical limit of the gauge/string correspondence Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M. Nuclear Physics B, Vol. 636, Issue 1-2 https://doi.org/10.1016/S0550-3213(02)00373-5	journal	August 2002
Rotating deformations of AdS3×S3, the orbifold CFT and strings in the pp-wave limit Lunin, Oleg; Mathur, Samir D. Nuclear Physics B, Vol. 642, Issue 1-2 https://doi.org/10.1016/S0550-3213(02)00677-6	journal	October 2002
Higher-spin gauge interactions for massive matter fields in 3D AdS space-time Prokushkin, S. F.; Vasiliev, M. A. Nuclear Physics B, Vol. 545, Issue 1-3 https://doi.org/10.1016/S0550-3213(98)00839-6	journal	April 1999
Logarithmic scaling in gauge/string correspondence Belitsky, A. V.; Gorsky, A. S.; Korchemsky, G. P. Nuclear Physics B, Vol. 748, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2006.04.030	journal	July 2006
Semiclassical quantization of rotating superstring in AdS ₅ × S ⁵ Frolov, Sergey; Tseytlin, Arkady A. Journal of High Energy Physics, Vol. 2002, Issue 06 https://doi.org/10.1088/1126-6708/2002/06/007	journal	June 2002
Superstrings on PP-Wave Backgrounds and Symmetric Orbifolds Hikida, Yasuaki; Sugawara, Yuji Journal of High Energy Physics, Vol. 2002, Issue 06 https://doi.org/10.1088/1126-6708/2002/06/037	journal	June 2002
PP-Wave/ CFT ₂ Duality Gomis, Jaume; Motl, Lubos; Strominger, Andrew Journal of High Energy Physics, Vol. 2002, Issue 11 https://doi.org/10.1088/1126-6708/2002/11/016	journal	November 2002
Proving the PP-Wave/CFT ₂ Duality Gava, Edi; Narain, Kumar S. Journal of High Energy Physics, Vol. 2002, Issue 12 https://doi.org/10.1088/1126-6708/2002/12/023	journal	December 2002
Two-loop world-sheet corrections in AdS ₅ × S ⁵ superstring Roiban, Radu; Tirziu, Alin; Tseytlin, Arkady A. Journal of High Energy Physics, Vol. 2007, Issue 07 https://doi.org/10.1088/1126-6708/2007/07/056	journal	July 2007
Strong-coupling expansion of cusp anomaly from quantum superstring Roiban, Radu; Tseytlin, Arkady A. Journal of High Energy Physics, Vol. 2007, Issue 11 https://doi.org/10.1088/1126-6708/2007/11/016	journal	November 2007
Integrability and transcendentality Eden, Burkhard; Staudacher, Matthias Journal of Statistical Mechanics: Theory and Experiment, Vol. 2006, Issue 11 https://doi.org/10.1088/1742-5468/2006/11/P11014	journal	November 2006
On the coset duals of extended higher spin theories Candu, Constantin; Vollenweider, Carl ETH Zurich https://doi.org/10.3929/ethz-b-000083848	text	January 2014
Higher spins & strings Gaberdiel, Matthias R.; Gopakumar, Rajesh ETH Zurich https://doi.org/10.3929/ethz-b-000093218	text	January 2014
Extended supersymmetry in AdS3 higher spin theories Candu, Constantin; Peng, Cheng; Vollenweider, Carl ETH Zurich https://doi.org/10.3929/ethz-b-000094411	text	January 2014
Two-loop world-sheet corrections in AdS_5 x S^5 superstring Roiban, R.; Tirziu, A.; Tseytlin, A. A. arXiv https://doi.org/10.48550/arxiv.0704.3638	text	January 2007
Review of AdS/CFT Integrability: An Overview Beisert, Niklas; Ahn, Changrim; Alday, Luis F. arXiv https://doi.org/10.48550/arxiv.1012.3982	text	January 2010
Extended higher spin holography and Grassmannian models Creutzig, Thomas; Hikida, Yasuaki; Ronne, Peter B. arXiv https://doi.org/10.48550/arxiv.1306.0466	text	January 2013
Spinning strings and minimal surfaces in $AdS_3$ with mixed 3-form fluxes David, Justin R.; Sadhukhan, Abhishake arXiv https://doi.org/10.48550/arxiv.1405.2687	text	January 2014
Higher spin AdS_3 holography with extended supersymmetry Creutzig, Thomas; Hikida, Yasuaki; Ronne, Peter B. arXiv https://doi.org/10.48550/arxiv.1406.1521	text	January 2014
Higher Spins & Strings Gaberdiel, Matthias R.; Gopakumar, Rajesh arXiv https://doi.org/10.48550/arxiv.1406.6103	text	January 2014
Marginal deformations and the Higgs phenomenon in higher spin AdS_3 holography Hikida, Yasuaki; Ronne, Peter B. arXiv https://doi.org/10.48550/arxiv.1503.03870	preprint	January 2015
Semiclassical quantization of rotating superstring in AdS_5 x S^5 Frolov, S.; Tseytlin, A. A. arXiv https://doi.org/10.48550/arxiv.hep-th/0204226	text	January 2002
Superstrings on PP-Wave Backgrounds and Symmetric Orbifolds Hikida, Yasuaki; Sugawara, Yuji arXiv https://doi.org/10.48550/arxiv.hep-th/0205200	text	January 2002
Rotating deformations of AdS_3\times S^3, the orbifold CFT and strings in the pp-wave limit Lunin, Oleg; Mathur, Samir D. arXiv https://doi.org/10.48550/arxiv.hep-th/0206107	text	January 2002
PP-Wave / CFT_2 Duality Gomis, Jaume; Motl, Lubos; Strominger, Andrew arXiv https://doi.org/10.48550/arxiv.hep-th/0206166	text	January 2002
Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)dS_d$ Vasiliev, M. A. arXiv https://doi.org/10.48550/arxiv.hep-th/0304049	text	January 2003
Logarithmic scaling in gauge/string correspondence Belitsky, A. V.; Gorsky, A. S.; Korchemsky, G. P. arXiv https://doi.org/10.48550/arxiv.hep-th/0601112	text	January 2006
Large N Field Theories, String Theory and Gravity Aharony, O.; Gubser, S. S.; Maldacena, J. arXiv https://doi.org/10.48550/arxiv.hep-th/9905111	text	January 1999

Cited By (23)

Tensionless strings from worldsheet symmetries Bagchi, Arjun; Chakrabortty, Shankhadeep; Parekh, Pulastya Journal of High Energy Physics, Vol. 2016, Issue 1 https://doi.org/10.1007/jhep01(2016)158	journal	January 2016
The holographic landscape of symmetric product orbifolds Belin, Alexandre; Castro, Alejandra; Keller, Christoph A. Journal of High Energy Physics, Vol. 2020, Issue 1 https://doi.org/10.1007/jhep01(2020)111	journal	January 2020
Marginal deformations of 3d supersymmetric U(N) model and broken higher spin symmetry Hikida, Yasuaki; Wada, Taiki Journal of High Energy Physics, Vol. 2017, Issue 3 https://doi.org/10.1007/jhep03(2017)047	journal	March 2017
The worldsheet dual of the symmetric product CFT Eberhardt, Lorenz; Gaberdiel, Matthias R.; Gopakumar, Rajesh Journal of High Energy Physics, Vol. 2019, Issue 4 https://doi.org/10.1007/jhep04(2019)103	journal	April 2019
Vector models and generalized SYK models Peng, Cheng Journal of High Energy Physics, Vol. 2017, Issue 5 https://doi.org/10.1007/jhep05(2017)129	journal	May 2017
Quantum Regge trajectories and the Virasoro analytic bootstrap Collier, Scott; Gobeil, Yan; Maxfield, Henry Journal of High Energy Physics, Vol. 2019, Issue 5 https://doi.org/10.1007/jhep05(2019)212	journal	May 2019
Conformal bootstrap with slightly broken higher spin symmetry Alday, Luis F.; Zhiboedov, Alexander Journal of High Energy Physics, Vol. 2016, Issue 6 https://doi.org/10.1007/jhep06(2016)091	journal	June 2016
Higher spins on AdS3 from the worldsheet Ferreira, Kevin; Gaberdiel, Matthias R.; Jottar, Juan I. Journal of High Energy Physics, Vol. 2017, Issue 7 https://doi.org/10.1007/jhep07(2017)131	journal	July 2017
The OPE of bare twist operators in bosonic SN orbifold CFTs at large N Burrington, Benjamin A.; Jardine, Ian T.; Peet, Amanda W. Journal of High Energy Physics, Vol. 2018, Issue 8 https://doi.org/10.1007/jhep08(2018)202	journal	August 2018
String theory as a higher spin theory Gaberdiel, Matthias R.; Gopakumar, Rajesh Journal of High Energy Physics, Vol. 2016, Issue 9 https://doi.org/10.1007/jhep09(2016)085	journal	September 2016
Twisted sectors from plane partitions Datta, Shouvik; Gaberdiel, Matthias R.; Li, Wei Journal of High Energy Physics, Vol. 2016, Issue 9 https://doi.org/10.1007/jhep09(2016)138	journal	September 2016
The large N limit of OPEs in symmetric orbifold CFTs with $$ \mathcal{N} $$ = (4, 4) supersymmetry de Beer, Thomas; Burrington, Benjamin A.; Jardine, Ian T. Journal of High Energy Physics, Vol. 2019, Issue 8 https://doi.org/10.1007/s13130-019-11019-2	journal	August 2019
Cosmological shapes of higher-spin gravity Anninos, D.; Luca, V. De; Franciolini, G. Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 04 https://doi.org/10.1088/1475-7516/2019/04/045	journal	April 2019
Conformal perturbation theory for twisted fields Keller, Christoph A.; Zadeh, Ida G. Journal of Physics A: Mathematical and Theoretical, Vol. 53, Issue 9 https://doi.org/10.1088/1751-8121/ab6b91	journal	February 2020
Twisted sectors from plane partitions Datta, Shouvik; Gaberdiel, Matthias R.; Li, Wei ETH Zurich https://doi.org/10.3929/ethz-b-000120978	text	January 2016
String theory as a higher spin theory Gaberdiel, Matthias R.; Gopakumar, Rajesh ETH Zurich https://doi.org/10.3929/ethz-b-000121007	text	January 2016
Higher spins on AdS3 from the worldsheet Ferreira, Kevin; Gaberdiel, Matthias R.; Jottar, Juan I. ETH Zurich https://doi.org/10.3929/ethz-b-000190370	text	January 2017
The worldsheet dual of the symmetric product CFT Eberhardt, Lorenz; Gaberdiel, Matthias R.; Gopakumar, Rajesh ETH Zurich https://doi.org/10.3929/ethz-b-000340539	text	January 2019
Twisted sectors from plane partitions Datta, Shouvik; Gaberdiel, Matthias R.; Li, Wei arXiv https://doi.org/10.48550/arxiv.1606.07070	text	January 2016
Marginal deformations of 3d supersymmetric U(N) model and broken higher spin symmetry Hikida, Yasuaki; Wada, Taiki arXiv https://doi.org/10.48550/arxiv.1701.03563	text	January 2017
Quantum Regge Trajectories and the Virasoro Analytic Bootstrap Collier, Scott; Gobeil, Yan; Maxfield, Henry arXiv https://doi.org/10.48550/arxiv.1811.05710	text	January 2018
Cosmological Shapes of Higher-Spin Gravity Anninos, D.; De Luca, V.; Franciolini, G. arXiv https://doi.org/10.48550/arxiv.1902.01251	text	January 2019
Conformal Perturbation Theory for Twisted Fields Keller, Christoph A.; Zadeh, Ida G. arXiv https://doi.org/10.48550/arxiv.1907.08207	text	January 2019

Similar Records

Fate of stringy noninvertible symmetries

Journal Article · 2024 · Physical Review. D. · OSTI ID:2476065

Heckman, Jonathan J.; McNamara, Jacob; Montero, Miguel; +3 more

The lion, the witch, and the wormhole: ensemble averaging the symmetric product orbifold

Journal Article · 2024 · Journal of High Energy Physics (Online) · OSTI ID:2576103

Kames-King, Joshua; Kanargias, Alexandros; Knighton, Bob; +1 more

Tensionless strings on AdS₃ orbifolds

Journal Article · 2024 · Journal of High Energy Physics (Online) · OSTI ID:2564950

Gaberdiel, Matthias R.; Guo, Bin; Mathur, Samir D.

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AdS-CFT Correspondence
Conformal and W Symmetry
Higher Spin Symmetry
Long strings

Title: Higgsing the stringy higher spin symmetry

Citation Formats

References (45)

Cited By (23)

Similar Records

Related Subjects