Strings in Twistor Superspace and Mirror Symmetry
TLDR
In this paper, the super-Landau-Ginzburg mirror of the A-twisted topological sigma model on a twistor superspace was obtained, which is a Calabi-Yau supermanifold.About:
This article is published in Physics Letters B.The article was published on 2005-07-14 and is currently open access. It has received 38 citations till now. The article focuses on the topics: Twistor space & Twistor theory.read more
Citations
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One-loop gauge theory amplitudes in N=4 super Yang-Mills from MHV vertices
TL;DR: In this paper, a twistor string theory inspired formalism was proposed to calculate loop amplitudes in N = 4 super-Yang-Mills theory, where maximal helicity violating (MHV) tree amplitudes were used as vertices, using an off-shell prescription introduced by Cachazo, Svrcek and Witten.
Journal ArticleDOI
An ambitwistor Yang–Mills Lagrangian
Lionel Mason,David Skinner +1 more
TL;DR: In this article, a Chern-Simons Lagrangian for Yang-Mills theory on ambitwistor space was introduced. But the choice of Euclidean signature was not considered.
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Marginal deformations of N=4 SYM from open/closed twistor strings
TL;DR: In this paper, the authors investigated how the marginal deformations of N = 4 supersymmetric Yang-Mills theory arise within B-model topological string theory on supertwistor space C P 3 | 4.
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Topological B-model on weighted projective spaces and self-dual models in four dimensions
Alexander D. Popov,Martin Wolf +1 more
TL;DR: In this paper, it was shown that the topological B-model whose target space is a Calabi-Yau (CY) supermanifold is equivalent to holomorphic Chern-Simons (hCS) theory on the same super manifold.
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Super-Chern-Simons Theory as Superstring Theory
TL;DR: In this paper, a translation between the theory of supermanifolds and topological strings with super-target space is provided, and the amplitude prescriptions are derived from the coupling with an extended topological gravity on the worldsheet.
References
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Phases of N = 2 theories in two dimensions
TL;DR: In this paper, a natural relation between sigma models based on Calabi-Yau hypersurfaces in weighted projective spaces and Landau-Ginzburg models is found.
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Perturbative Gauge Theory as a String Theory in Twistor Space
TL;DR: In this paper, Fourier transform the scattering amplitudes from momentum space to twistor space, and argue that the transformed amplitudes are supported on certain holomorphic curves, which is a consequence of an equivalence between the perturbative expansion of = 4 super Yang-Mills theory and the D-instanton expansion of a certain string theory.
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Self-duality in four-dimensional Riemannian geometry
TL;DR: In this article, the authors present a self-contained account of the ideas of R. Penrose connecting four-dimensional Riemannian geometry with three-dimensional complex analysis, and apply this to the self-dual Yang-Mills equations in Euclidean 4-space and compute the number of moduli for any compact gauge group.
Book
Mirror Symmetry
Eric Zaslow,Ravi Vakil,Kentaro Hori,Richard P. Thomas,Cumrun Vafa,Albrecht Klemm,Rahul Pandharipande,Sheldon Katz +7 more
TL;DR: In this paper, the authors proved mirror symmetry for supersymmetric sigma models on Calabi-Yau manifolds in 1+1 dimensions and showed that the equivalence of the gauged linear sigma model embedded in a theory with an enlarged gauge symmetry, with a Landau-Ginzburg theory of Toda type Standard R -> 1/R duality and dynamical generation of superpotential by vortices.
Posted Content
D-Branes And Mirror Symmetry
TL;DR: In this paper, the authors studied (2,2) supersymmetric field theories on two-dimensional worldsheet with boundaries and determined D-branes (boundary conditions and boundary interactions) that preserve half of the bulk supercharges in nonlinear sigma models.