Holography in Superspace

Abstract

The AdS/CFT correspondence identifies the coordinates of the conformal boundary of anti-de Sitter space with the coordinates of the conformal field theory. We generalize this identification to theories formulated in superspace. As an application of our results, we study a class of Wilson loops in N=4 SYM theory. A gauge theory computation shows that the expectation values of these loops are invariant under a local kappa-symmetry, except at intersections. We identify this with the kappa-invariance of the associated string worldsheets in the corresponding bulk superspace.

36 pages, LaTeX, references added

References in corpus (8)

• Wilson loops in large N field theories
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Type IIB superstring action in AdS_5 x S^5 background
• Wilson Loops and Minimal Surfaces
• Green-Schwarz String in AdS_5 x S^5: Semiclassical Partition Function
• Near Horizon Superspace
• Stringy Corrections to the Wilson Loop in N=4 Super Yang-Mills Theory
• G/H M-branes and AdS_{p+2} Geometries

Cited by in corpus (39)

• The super-correlator/super-amplitude duality: Part I
• Covariant Quantization of Superstrings Without Pure Spinor Constraints
• New BCJ representations for one-loop amplitudes in gauge theories and gravity
• Some Superstring Amplitude Computations with the Non-Minimal Pure Spinor Formalism
• Covariant One-Loop Amplitudes in D=11
• Are scattering amplitudes dual to super Wilson loops?
• Four Dimensional Conformal Supergravity From AdS Space
• Superstring Scattering Amplitudes with the Pure Spinor Formalism
• Vertex Operators for Closed Superstrings
• The Overall Coefficient of the Two-loop Superstring Amplitude Using Pure Spinors
• Instanton corrections to circular Wilson loops in N=4 Supersymmetric Yang-Mills
• Tree-level amplitudes from the pure spinor superstring
• Six Open String Disk Amplitude in Pure Spinor Superspace
• Towards Field Theory Amplitudes From the Cohomology of Pure Spinor Superspace
• The One-loop Open Superstring Massless Five-point Amplitude with the Non-Minimal Pure Spinor Formalism
• Descent equations for superamplitudes
• Free Field Appoach to String Theory on AdS_3
• Harmonic Superspace from the $Ad{S}_5\times S^5$ Pure Spinor Formalism
• AdS/CFT in superspace
• Wilson lines, Grassmannians and Gauge Invariant Off-shell Amplitudes in N=4 SYM
• Integrability of Smooth Wilson Loops in N=4 Superspace
• Smooth Wilson Loops in N=4 Non-Chiral Superspace
• Bonus Symmetry for Super Wilson Loops
• Conformal anomaly of super Wilson loop
• Noncommutative Supersymmetric/Integrable Models and String Theory
• AdS/SCFT in Superspace
• Amplitudes Involving Massive States Using Pure Spinor Formalism
• Fermionic Bogomolnyi-Prasad-Sommerfield Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal gauge theories
• Fermionic superstring loop amplitudes in the pure spinor formalism
• On the Geometry of Null Polygons in Full N=4 Superspace
• Theta Expansion of First Massive Vertex Operator in Pure Spinor
• Constrained Supermanifolds for AdS M-Theory Backgrounds
• Supersymmetric Wilson Loops via Integral Forms
• Pre-potential in the $Ad{S}_5\times S^5$ Type IIB superspace
• Scattering of massive open strings in pure spinor
• Surface Operators in Superspace
• Supersymmetric DBI Equations in Diverse Dimensions from BRS Invariance of Pure Spinor Superstring
• S-duality transformation of $\mathcal{N}$ $=4$ SYM theory at the operator level
• Twistor Parametrization of Locally BPS Super-Wilson Loops