Fermionic reductions of the AdS4 x CP3 superstring

Abstract

We discuss fermionic reductions of type IIA superstrings on AdS4 x CP3 in relation to the conjectured AdS4/CFT3 duality. The superstring theory is described by means of a coset model construction, which is classically integrable. We discuss the global light-cone symmetries of the action and related kappa-symmetry gauge choices, and also present the complete quartic action in covariant form with respect to these. Further, we study integrable (fermionic) reductions, in particular, a reduction yielding a quadratic action of two complex fermions on the string world-sheet. Interestingly, this model appears to be exactly the same as the corresponding integrable reduction found in the AdS5 x S5 case.

24 pages, v3 as published

References in corpus (27)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Foundations of the AdS_5 x S^5 Superstring. Part I
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
• The Bethe ansatz for superconformal Chern-Simons
• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• The all loop AdS4/CFT3 Bethe ansatz
• Uniform Light-Cone Gauge for Strings in AdS_5 x S^5: Solving su(1|1) Sector
• Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3
• Spinning strings at one-loop in AdS_4 x P^3
• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• The AdS4/CFT3 algebraic curve
• Anomalous radius shift in AdS(4)/CFT(3)
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• AdS4/CFT3 at One Loop
• Simplifying superstring and D-brane actions in AdS(4) x CP(3) superbackground
• Exploring Pure Spinor String Theory on AdS_4 x CP^3
• New Integrable System of 2dim Fermions from Strings on AdS_5 x S^5
• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
• Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory
• The AdS(4) x CP(3) string and its Bethe equations in the near plane wave limit
• A note on the reduction of the AdS4 x CP3 string sigma model
• AdS_4 x CP^3 superstring and D=3 N=6 superconformal symmetry
• Off-shell symmetry algebra of the AdS_4 x CP^3 superstring

Cited by in corpus (4)

• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• AdS_4 x CP^3 superstring in the light-cone gauge
• Quantum integrability of the Alday-Arutyunov-Frolov model
• Novel aspects of integrability for NLSMs in symmetric spaces