Dual expansions of N=4 super Yang-Mills theory via IIB superstring theory
arXiv:hep-th/0005192 · doi:10.1016/S0550-3213(00)00384-9
Abstract
We examine the dual correspondence between holographic IIB superstring theory and N=4 super Yang-Mills theory at finite values of the coupling constants. In particular we analyze a field theory strong-coupling expansion which is the S-dual of the planar expansion. This expansion arises naturally as the AdS/CFT dual of the IIB superstring scattering amplitudes given a genus truncation property due to modular invariance. The space-time structure of the contributions to the field theory four-point correlation functions obtained from the IIB scattering elements is investigated in the example of the product of four conserved stress tensors, and is expressed as an infinite sum of field theory triangle integrals. The OPE structure of these contributions to the stress tensor four-point function is analyzed and shown not to give rise to any poles. Quantization of the string in the background of a five-form field strength is performed through a covariantized background field approach, and relations to the N=4 topological string are found.
LaTeX, 40 pages, 5 figures
References in corpus (9)
- Graviton exchange and complete 4-point functions in the AdS/CFT correspondence
- Two loops in eleven dimensions
- Bonus Symmetry and the Operator Product Expansion of N=4 Super-Yang-Mills
- Scalar One-Loop Integrals using the Negative-Dimension Approach
- Higher-spin current multiplets in operator-product expansions
- Correlators of Short Multi-Trace Operators in N=4 Supersymmetric Yang-Mills
- Non-renormalisation of extremal correlators in N=4 SYM theory
- Instantons and Non-renormalisation in AdS/CFT
- Quantization and Scattering in the IIB SL(2,Z) Covariant Superstring
Cited by in corpus (13)
- Supersymmetric Gauge Theories and the AdS/CFT Correspondence
- Covariant Graviton Propagator in Anti-de Sitter Spacetime
- M-theory and automorphic scattering
- The four-point correlation function of the energy-momentum tensor in the free conformal field theory of a scalar field
- Quantum Gauge Theory Amplitude Solutions
- Cosmological constant in broken maximal sugras
- Tree Amplitudes in Scalar Field Theories
- Quantum Solution to Scalar Field Theory Models
- N=4 S-duality Compliant Scattering and within the AdS/CFT Duality
- A Format for Instantons and Their Characterizations
- Tree Amplitudes in Gauge and Gravity Theories
- Simplifications of the Tensors in Quantum Scattering, Part I
- Computing K3 and CY n-fold Metrics