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TMF, 2010, Volume 163, Number 1, Pages 114–131 (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

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

DOI: https://doi.org/10.4213/tmf6490

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English version:
Theoretical and Mathematical Physics, 2010, 163:1, 496–510

Bibliographic databases:

Received: 02.09.2009

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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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. 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
    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. Sfondrini A., “Towards Integrability For AdS(3)/CFT2”, J. Phys. A-Math. Theor., 48:2 (2015), 023001  crossref  mathscinet  zmath  adsnasa  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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