Exploring Pure Spinor String Theory on AdS_4 x CP^3

Abstract

In this paper we formulate the pure spinor superstring theory on AdS_4 x CP^3. By recasting the pure spinor action as a topological A-model on the fermionic supercoset Osp(6|4)/SO(6)xSp(4) plus a BRST exact term, we prove the exactness of the sigma-model. We then give a gauged linear sigma-model which reduces to the superstring in the limit of large volume and we study its branch geometry in different phases. Moreover, we discuss possible D-brane boundary conditions and the principal chiral model for the fermionic supercoset.

26 pages, typos corrected, references added

References in corpus (37)

• 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
• Seiberg Duality in Chern-Simons Theory
• 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 SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• Superconformal Indices for $\mathcal{N}=6$ Chern Simons Theories
• Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry
• Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3
• Spinning strings at one-loop in AdS_4 x P^3
• The AdS4/CFT3 algebraic curve
• Classification of N=6 superconformal theories of ABJM type
• Notes on toric Sasaki-Einstein seven-manifolds and AdS_4/CFT_3
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• New string vacua from twistor spaces
• Comment on the Scaling Function in AdS4 x CP3
• Superconformal Chern-Simons Theories and the Squashed Seven Sphere
• Pure Spinor Formalism for Osp(N|4) backgrounds
• Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3
• Towards a Worldsheet Derivation of the Maldacena Conjecture
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• Holographic Supergravity Dual to Three Dimensional N=2 Gauge Theory
• Topological branes, p-algebras and generalized Nahm equations
• Towards Holographic Gravity Dual of N=1Superconformal Chern-Simons Gauge Theory
• Explaining Pure Spinor Superspace
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Supergravity dual of Chern-Simons Yang-Mills theory with N=6,8 superconformal IR fixed point
• M2-branes on a resolved $C_4/Z_4$
• On thermodynamics of N=6 superconformal Chern-Simons theories at strong coupling
• Gauged Linear Sigma Model on Supermanifold
• Superconformal Symmetry in Linear Sigma Model on Supermanifolds
• Integrability of the Gauged Linear Sigma Model for AdS_5xS^5
• D-brane Description of New Open String Solutions in AdS(5)

Cited by in corpus (62)

• Event generation with SHERPA 1.1
• NLO matrix elements and truncated showers
• The Worldsheet Dual of the Symmetric Product CFT
• M2 to D2 revisited
• Three-dimensional N=6 SCFT's and their membrane dynamics
• On M5-branes in N=6 Membrane Action
• Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras
• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
• Simplifying superstring and D-brane actions in AdS(4) x CP(3) superbackground
• String instanton in AdS(4)xCP(3)
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Multiple Membranes from Gauged Supergravity
• On Integrable Backgrounds Self-dual under Fermionic T-duality
• Classification of the BPS states in Bagger-Lambert Theory
• Evidence for the classical integrability of the complete AdS(4) x CP(3) superstring
• Kac-Moody Extensions of 3-Algebras and M2-branes
• GenEvA (I): A new framework for event generation
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Holographic Supergravity Dual to Three Dimensional N=2 Gauge Theory
• Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
• M-Theory Superalgebra From Multiple Membranes
• $w_{\infty }$ 3-algebra
• More on integrable structures of superstrings in AdS(4) x CP(3) and AdS(2) x S(2) x T(6) superbackgrounds
• Towards Holographic Gravity Dual of N=1Superconformal Chern-Simons Gauge Theory
• Superstrings on AdS_4 x CP^3 from Supergravity
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• Non-linear theory for multiple M2 branes
• AdS_4 x CP^3 superstring in the light-cone gauge
• Multiple M2-Branes and Plane Waves
• Light-cone gauge Hamiltonian for AdS_4 x CP^3 superstring
• Relaxed Three-Algebras: Their Matrix Representations and Implications for Multi M2-brane Theory
• A note on the reduction of the AdS4 x CP3 string sigma model
• Giant Magnons on CP^3 by Dressing Method
• Dressed Giant Magnons on CP^3
• Exceptional N=6 and N=2 AdS_4 Supergravity, and Zero-Center Modules
• The worldsheet low-energy limit of the AdS_4 x CP^3 superstring
• On semiclassical calculation of three-point functions in AdS_4 x CP^3
• AdS_4 x CP^3 superstring and D=3 N=6 superconformal symmetry
• M2-branes on a resolved $C_4/Z_4$
• Factorized Tree-level Scattering in AdS_4 x CP^3
• On the pulsating strings in AdS_4 x CP3
• Near Flat Space limit of strings on AdS_4 x CP^3
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Supersymmetric solutions from N=6 gauged supergravity
• Peculiarities of String Theory on AdS(4) x CP(3)
• Aspects of Quantum Fermionic T-duality
• On thermodynamics of N=6 superconformal Chern-Simons theories at strong coupling
• Semiclassical strings in AdS(3) X S^2
• Pure Spinor Approach to Type IIA Superstring Sigma Models and Free Differential Algebras
• Kaluza-Klein gauge and minimal integrable extension of OSp(4|6)/(SO(1,3) x U(3)) sigma-model
• A note on strings in deformed AdS_4 x CP3: giant magnon and single spike solutions
• Topological String on OSP(1|2)/U(1)
• D=3 N=6 superconformal symmetry of AdS_4 x CP^3 superstring
• Fermionic reductions of the AdS4 x CP3 superstring
• Lagrangian mechanics of massless superparticle on AdS_4 x CP^3 superbackground
• A note about fermionic equations of AdS_4 x CP^3 superstring
• Pure spinor superstring in AdS_4 x CP^3 with unconstrained ghosts
• On integrability of D0-brane equations on AdS_4 x CP^3 superbackground
• F-string Solution in AdS4 X CP3 PP-wave Background