# 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}
}
• Published 19 February 2007
• Physics, Mathematics
• arXiv: High Energy Physics - Theory
31 Citations
Instantons beyond topological theory. I
• Physics
Journal of the Institute of Mathematics of Jussieu
• 2011
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
• Mathematics
• 2008
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
• Mathematics
• 2009
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
• Mathematics
• 2008
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
On a semi-classical limit of loop space quantum mechanics
A framework to carry out an analysis at the leading order of the loop space quantum mechanics (LSQM) and shows that the linearized tachyon effective equation is correctly reproduced up to divergent terms all proportional to the Ricci scalar.
A new look at the path integral of quantum mechanics
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Notes on nonabelian (0,2) theories and dualities
• Mathematics
• 2014
A bstractIn this paper we explore basic aspects of nonabelian (0,2) GLSMs in two dimensions for unitary gauge groups, an arena that until recently has largely been unexplored. We begin by discussing
Superconformal Structures on Generalized Calabi-Yau Metric Manifolds
• Mathematics
• 2011
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
• Mathematics
• 2016
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