# 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} }

## 31 Citations

Instantons beyond topological theory. I

- PhysicsJournal 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

- Mathematics, Physics
- 2012

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

- Physics
- 2010

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…

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

- Mathematics, Physics
- 2013

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

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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