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

Abstract

We 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.

1+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

References in corpus (16)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• The Bethe ansatz for superconformal Chern-Simons
• The all loop AdS4/CFT3 Bethe ansatz
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• N = 8 Superconformal Chern--Simons Theories
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• Type IIA AdS4 compactifications on cosets, interpolations and domain walls
• Bagger-Lambert Theory for General Lie Algebras
• New string vacua from twistor spaces
• N=8 superconformal gauge theories and M2 branes
• A second look at N=1 supersymmetric AdS_4 vacua of type IIA supergravity

Cited by in corpus (7)

• Anomalous radius shift in AdS(4)/CFT(3)
• Giant Magnons on CP^3 by Dressing Method
• Dressed Giant Magnons on CP^3
• On the Non-renormalization of the AdS Radius
• Factorized Tree-level Scattering in AdS_4 x CP^3
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• Fermionic reductions of the AdS4 x CP3 superstring