The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes

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dc.creatorGomis, Jaume
dc.creatorSorokin, Dmitri
dc.creatorWulff, Linus
dc.date2008-11-10
dc.date2009-02-03
dc.date.accessioned2026-07-07T12:58:01Z
dc.date.available2026-07-07T12:58:01Z
dc.descriptionWe lift the bosonic AdS_4 x CP^3 solution of type IIA supergravity preserving 24 supersymmetries to a D=10 superspace which has 32 Grassmann-odd directions. The type IIA superspace is obtained from D=11 via dimensional reduction of the coset superspace OSp(8|4)/SO(7) x SO(1,3) by realizing the latter as a Hopf fibration over the former. This construction generalizes to superspace the Hopf fibration of S^7 as a U(1) bundle over CP^3, and is suitable for writing the explicit form of Green-Schwarz-type actions encoding the dynamics of the type IIA string and branes in the AdS_4 x CP^3 superbackground. We show that the OSp(6|4)/U(3) x SO(1,3) supercoset string action describes only a subsector of the complete Green-Schwarz superstring. Thus, even though the superstring equations of motion in the OSp(6|4)/U(3) x SO(1,3) subsector are classically integrable, the fact that the full AdS_4 x CP^3 superspace is not a supercoset requires the use of more general methods to determine whether the superstring in the complete AdS_4 x CP^3 superbackground is classically integrable.
dc.description1+40 pages, LaTeX style; v2: added clarifications, misprints in eqs. corrected, acknowledgments and references added; v3: JHEP version, missed term restored in eqs. (2.4) and (5.25), normalization changed in various places to fix discrepancy in conventions, more clarifications and refs. added
dc.identifierhttps://arxiv.org/abs/0811.1566
dc.identifierhttp://arxiv.org/abs/0811.1566
dc.identifierJHEP 0903:015,2009
dc.identifierdoi:10.1088/1126-6708/2009/03/015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225104
dc.subjectHigh Energy Physics - Theory
dc.titleThe complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
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