Notes on instantons in topological field theory and beyond

@article{Frenkel2007NotesOI,
  title={Notes on instantons in topological field theory and beyond},
  author={Edward Vladimir Frenkel and Andrey S. Losev and Nikita A. Nekrasov},
  journal={arXiv: High Energy Physics - Theory},
  year={2007},
  volume={171},
  pages={215-230}
}
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31 Citations
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31 Citations

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Instantons beyond topological theory. I
Abstract Many quantum field theories in one, two and four dimensions possess remarkable limits in which the instantons are present, the anti-instantons are absent, and the perturbative corrections…
Chiral Algebras of (0, 2) Models: Beyond Perturbation Theory
We show that the chiral algebras of $${\mathcal{N} = (0, 2)}$$ sigma models with no left-moving fermions are totally trivialized by worldsheet instantons for flag manifold target spaces.…
On a Logarithmic Deformation of the Supersymmetric bc-system on Curved Manifolds
Frenkel et al. (“Instantons beyond topological theory. I,” e-print hep-th/0610149; “Instantons beyond topological theory. II,” e-print hep-th/0803.3302) claimed that a certain class of theories on…
Selfduality and Chern-Simons Theory
We propose a relation between the operator of S-duality (of N=4 super Yang-Mills theory in 3+1D) and a topological theory in one dimension lower. We construct the topological theory by compactifying…
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TLDR
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The Feynman path integral of ordinary quantum mechanics is complexified and it is shown that possible integration cycles for this complexified integral are associated with branes in a two-dimensional…
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Superconformal Structures on Generalized Calabi-Yau Metric Manifolds
We construct an embedding of two commuting copies of the N = 2 superconformal vertex algebra in the space of global sections of the twisted chiral-anti-chiral de Rham complex of a generalized…
Towards a loop space description of non-linear sigma model
Non-linear sigma model with target space M can be described as a single particle quantum mechanics in the corresponding free loop space LM. We first discuss a formal description of this loop space…
The ABC (in any D) of logarithmic CFT
A bstractLogarithmic conformal field theories have a vast range of applications, from critical percolation to systems with quenched disorder. In this paper we thoroughly examine the structure of…
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