Superstrings on AdS_5 x S^5 supertwistor space

Abstract

We derive the Green-Schwarz action on AdS_5 x S^5 using an alternate version of the coset superspace construction. By Wick rotations and Lie algebra identifications we bring the coset to GL(4|4)/(Sp(4) x GL(1))^2, which allows us to represent the conformal transformations on unconstrained matrices. The derivation is more streamlined even for the bosonic sector, and conformal symmetry is manifest at every step. Kappa-symmetry gauge fixing is more transparent.

22 pages, latex; v2: format changed to JHEP, equations 6.10 and 6.11 added, typos in eq: 3.9, 4.10, 6.14, 6.15, 6.19 corrected

Cited by in corpus (75)

• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Foundations of the AdS_5 x S^5 Superstring. Part I
• The Algebraic Curve of Classical Superstrings on AdS_5xS^5
• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• Integrability and the AdS(3)/CFT(2) correspondence
• Jordanian deformations of the AdS_5xS^5 superstring
• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• On deformations of AdS_n x S^n supercosets
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• Spinning strings and integrable spin chains in the AdS/CFT correspondence
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence
• On Integrability of Classical SuperStrings in AdS_5 x S^5
• Strings on Semisymmetric Superspaces
• Green-Schwarz Strings in TsT-transformed backgrounds
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• On limits of superstring in AdS_5 x S^5
• Integrability of classical strings dual for noncommutative gauge theories
• A Jordanian deformation of AdS space in type IIB supergravity
• The WZNW model on PSU(1,1|2)
• Non-local charges, Zm gradings and coset space actions
• New Integrable System of 2dim Fermions from Strings on AdS_5 x S^5
• The Algebra of Transition Matrices for the AdS_5 x S^5 Superstring
• Fermions, T-duality and effective actions for D-branes in bosonic backgrounds
• Non-local charges on AdS_5 x S^5 and PP-waves
• A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
• Conformal Sigma-Models on Supercoset Targets
• The Classical Exchange Algebra of AdS5 x S5 String Theory
• Integrable deformations of the AdS${}_5\times$S${}^5$ superstring and the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence --
• On Hidden Symmetries of a Super Gauge Theory and Twistor String Theory
• Flat Currents of the Green-Schwarz Superstrings in AdS_5 x S^1 and AdS_3 x S^3 backgrounds
• T-Duality, Dual Conformal Symmetry and Integrability for Strings on AdS_5 x S^5
• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
• Tree-level S-matrix of Pohlmeyer reduced form of AdS_5 x S^5 superstring theory
• Twistor methods for AdS${}_5$
• Classical AdS Superstring Mechanics
• Wess-Zumino term for AdS superstring
• Covariant propagator in AdS5 x S5 superspace
• Massive fields in AdS(3) and compactification in AdS spacetime
• Light-Cone String Field Theory in a Plane Wave Background
• Supersymmetric D3 brane and N=4 SYM actions in plane wave backgrounds
• Non-Relativistic AdS Branes and Newton-Hooke Superalgebra
• Classical Integrability and Super Yangian of Superstring on AdS_5 x S^5
• A new holographic limit of AdS5 x S5
• Finite dimensional vertex
• AdS_4 x CP^3 superstring and D=3 N=6 superconformal symmetry
• Wess-Zumino terms for AdS D-branes
• Sugawara form for AdS superstring
• Free field realization of current superalgebra $gl(m|n{)}_k$
• A Connection between Twistors and Superstring Sigma Models on Coset Superspaces
• Hamiltonian Analysis of Non-Linear Sigma Model on Supercoset Target
• On manifest SU(4) invariant superstring action in AdS(5) x S(5)
• The AdS_5 x S^5 superstrings in the generalized light-cone gauge
• Gauge invariant action for superstring in Ramond-Ramond plane-wave background
• Gauged Double Field Theory, Current Algebras and Heterotic Sigma Models
• Kaluza-Klein gauge and minimal integrable extension of OSp(4|6)/(SO(1,3) x U(3)) sigma-model
• NSR String in Ads_3 Backgrounds: Nonlocal Charges
• AdS and pp-wave D-particle superalgebras
• D-branes from Pure Spinor Superstring in AdS_5 x S^5 Background
• Spacecone quantization of AdS superparticle
• Noncommutative D-brane from Covariant AdS Superstring
• Consistent bilinear Wess-Zumino term for open AdS superstring
• D=3 N=6 superconformal symmetry of AdS_4 x CP^3 superstring
• Super Yangian of superstring on AdS5xS5 revisited
• Kappa symmetric OSp(2|2) WZNW model
• Projective Coordinates and Projective Space Limit
• Parametrization of cosets for AdS5xS5 superstring action
• Conformal Affine Toda Soliton and Moduli of IIB Superstring on $Ad{S}_5\times S^5$
• The SU(1|2) and SU(2|2) Sectors from Superstrings in AdS5 x S5
• Supertwistor description of the $AdS$ pure spinor string
• The $\mathbf{Ad}{\mathbf{S}}_5\times {\mathbf{S}}^5$ Superstring
• Nambu-Goto Like Action for the AdS_5 x S^5 Superstrings in the Generalized Light-Cone Gauge
• Integrated Lax Formalism for PCM
• Solution Transformations for GS String in AdS_5 x S^5 by Conserved Quantities