The AdS(4) x CP(3) string and its Bethe equations in the near plane wave limit

Abstract

We perform a detailed study of bosonic type IIA string theory in a large light-cone momentum / near plane wave limit of $Ad{S}_4\times C{P}_3$. In order to attain this we derive the Hamiltonian up to cubic and quartic order in number of fields and calculate the energies for string excitations in a $R\times S^2\times S^2$ subspace. The computation for the string energies is performed for arbitrary length excitations utilizing an unitary transformation which allows us to remove the cubic terms in the Hamiltonian. We then rewrite a recent set of proposed all loop Bethe equations in a light-cone language and compare their predictions with the obtained string energies. We find perfect agreement.

28 pages, references and footnote added

References in corpus (35)

• 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
• Comments on Multiple M2-branes
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• Three-Algebras and N=6 Chern-Simons Gauge Theories
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Comments on the Bagger-Lambert theory and multiple M2-branes
• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
• Finite-size Effects from Giant Magnons
• 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
• The all loop AdS4/CFT3 Bethe ansatz
• On Type IIA Penrose Limit and N=6 Chern-Simons Theories
• Membranes on an Orbifold
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• On the Singularities of the Magnon S-matrix
• N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras
• Spinning strings at one-loop in AdS_4 x P^3
• 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
• AdS4/CFT3 at One Loop
• Ghost-Free Superconformal Action for Multiple M2-Branes
• N=8 superconformal gauge theories and M2 branes
• Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3
• Semi-classical strings in AdS_4*CP^3
• Integrable Spin Chain of Superconformal U(M)xU(N) Chern-Simons Theory
• Genus Two Partition Functions of Extremal Conformal Field Theories
• Testing the nested light-cone Bethe equations of the AdS_5 x S^5 superstring

Cited by in corpus (23)

• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring
• Simplifying superstring and D-brane actions in AdS(4) x CP(3) superbackground
• Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring
• Worldsheet spectrum in AdS(4)/CFT(3) correspondence
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• 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
• AdS_4 x CP^3 superstring in the light-cone gauge
• A note on dual giant gravitons in $Ad{S}_4\times {\mathbb{CP}}^3$
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit
• Giant Magnons on CP^3 by Dressing Method
• The worldsheet low-energy limit of the AdS_4 x CP^3 superstring
• Classical and quantum integrability in AdS(2)/CFT(1)
• Integrability of N=6 Chern-Simons Theory at Six Loops and Beyond
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• On the worldsheet theory of the type IIA AdS(4) x CP(3) superstring
• Factorized Tree-level Scattering in AdS_4 x CP^3
• On the pulsating strings in AdS_4 x CP3
• Off-shell symmetry algebra of the AdS_4 x CP^3 superstring
• On the absence of reflection in AdS4/CFT3
• Fermionic reductions of the AdS4 x CP3 superstring