Marginal deformations of N=4 SYM from open/closed twistor strings

2004/10/31 by Manuela Kulaxizi, Konstantinos Zoubos · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Formalism (music) #Gauge theory #Holomorphic function #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum electrodynamics #Quantum mechanics #String field theory #String theory #Supersymmetry #Theoretical physics #Twistor space #Twistor theory #Wave function #Yang–Mills theory #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2006.01.018

published as Nucl.Phys. B738 (2006) 317-349 · 1+29 pages. v2: Various typos corrected, minor clarifications

arxiv created 2005/11/01 · openalex publication_date 2006/01/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate how the marginal deformations of N=4 supersymmetric Yang-Mills theory (analysed in particular by Leigh and Strassler) arise within B-model topological string theory on supertwistor space CP(3|4). This is achieved by turning on a certain closed string background in the fermionic directions. Through a specific open/closed correlation function, this mode induces a correction to holomorphic Chern-Simons theory, corresponding to the self-dual part of the chiral operator added on the gauge theory side. The effect of the deformation is interpreted as non-anticommutativity between some of the odd coordinates of CP(3|4). Motivated by this, we extend the twistor formalism for calculating MHV amplitudes in N=4 SYM to these N=1 theories by introducing a suitable star product between the wavefunctions. We check that our prescription yields the expected results to linear order in the deformation parameter.

Citations

• Untwisting the twistor superstring
• Mirror Manifolds And Topological Field Theory
• Holomorphic Anomaly Of Unitarity Cuts And One-Loop Gauge Theory Amplitudes
• String theory and noncommutative geometry
• Deformations of N=4 SYM and integrable spin chain models
• A path integral approach to noncommutative superspace
• Loops in twistor space
• Topological sigma models
• A Googly Amplitude from the B-model in Twistor Space
• Deformation Quantization of Poisson Manifolds
• On the Relation Between Open and Closed Topological Strings
• Next-to-maximal helicity violating amplitudes in gauge theory
• A Path Integral Approach¶to the Kontsevich Quantization Formula
• N=2 strings and the twistorial Calabi-Yau
• SIX-QUARK AMPLITUDES FROM FERMIONIC MHV VERTICES
• Perturbative Gauge Theory As A String Theory In Twistor Space
• Mirror Symmetry and Supermanifolds

Cited by

• Hidden Symmetries and Integrable Hierarchy of the N = 4 Supersymmetric Yang-Mills Equations