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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 163, Number 1, Pages 114–131
DOI: https://doi.org/10.4213/tmf6490 (Mi tmf6490) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Symmetry algebra of the AdS$_4{\times}\mathbb{CP}^3$ superstring

D. V. Bykov

Steklov Mathematical Institute, RAS, Moscow, Russia
Full-text PDF (513 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf6490
Abstract: By direct calculation in the classical theory, we derive the central extension of the off-shell symmetry algebra for a string propagating in AdS$_4\times\mathbb{CP}^3$. It turns out to be the same as in the case of the AdS$_5\times S^5$ string. We consider the choice of the $\kappa$-symmetry gauge in detail and also explain how this gauge can be chosen without breaking the bosonic symmetries.
Keywords: AdS/CFT correspondence, Green–Schwarz superstring, integrable models.
Received: 02.09.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 163, Issue 1, Pages 496–510
DOI: https://doi.org/10.1007/s11232-010-0038-y
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. V. Bykov, “Symmetry algebra of the AdS$_4{\times}\mathbb{CP}^3$ superstring”, TMF, 163:1 (2010), 114–131; Theoret. and Math. Phys., 163:1 (2010), 496–510
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6490
  • https://doi.org/10.4213/tmf6490
  • https://www.mathnet.ru/eng/tmf/v163/i1/p114
    • This publication is cited in the following 3 articles:
    1. Sfondrini A., “Towards Integrability For AdS(3)/CFT2”, J. Phys. A-Math. Theor., 48:2 (2015), 023001  crossref  mathscinet  zmath  adsnasa  isi  scopus
    2. Abbott M.C., Sundin P., “The near-flat-space and BMN limits for strings in $AdS_4\times CP^3$ at one loop”, J. Phys. A, 45:2 (2012), 025401, 32 pp.  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    3. Uvarov D.V., “$D=3$ $\mathscr N=6$ superconformal symmetry of the $\mathrm{AdS}_4\times\mathbb{CP}^3$ superstring”, Classical Quantum Gravity, 28:23 (2011), 235010, 23 pp.  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:627
    Full-text PDF :248
    References:65
    First page:11
     
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