Supertwistor Orbifolds: Gauge Theory Amplitudes and Topological Strings

Abstract

Witten established correspondence between multiparton amplitudes in four-dimensional maximally supersymmetric gauge theory and topological string theory on supertwistor space $C{P}^{3|4}$. We extend Witten's correspondence to gauge theories with lower supersymmetries, product gauge groups, and fermions and scalars in complex representations. Such gauge theories arise in high-energy limit of the Standard Model of strong and electroweak interactions. We construct such theories by orbifolding prescription. Much like gauge and string theories, such prescription is applicable equally well to topological string theories on supertwistor space. We work out several examples of orbifolds of $C{P}^{3|4}$ that are dual to N=2, 1, 0 quiver gauge theories. We study gauged sigma model describing topological B-model on the superorbifolds, and explore mirror pairs with particular attention to the parity symmetry. We check the orbifold construction by studying multiparton amplitudes in these theories with particular attention to those involving fermions in bifundamental representations and interactions involving U(1) subgroups.

26 pages, no figure; v2. macros corrected

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Cited by in corpus (16)

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• Massless and Massive Three Dimensional Super Yang-Mills Theory and Mini-Twistor String Theory
• Self-Dual Supergravity and Twistor Theory
• Matrix Models and D-branes in Twistor String Theory
• Hidden Symmetries and Integrable Hierarchy of the N=4 Supersymmetric Yang-Mills Equations
• A Deformation of Twistor Space and a Chiral Mass Term in N=4 Super Yang-Mills Theory
• Ricci-flat supertwistor spaces
• Super Calabi-Yau's and Special Lagrangians
• Superconformal Symmetry in Linear Sigma Model on Supermanifolds
• Marginal Deformations of Tree-Level N=4 SYM from Twistor String Theory
• Twistor Strings with Flavour
• Canonical description of D=10 superstring formulated in supertwistor space
• Recursive relations for a quiver gauge theory
• Adding flavour to twistor strings