Topological field theory
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This article is published in Physics Reports.The article was published on 1991-12-01 and is currently open access. It has received 751 citations till now. The article focuses on the topics: Topological algebra & Topological entropy in physics.read more
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Quantum field theory on noncommutative spaces
TL;DR: In this article, a pedagogical and self-contained introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity.
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Two-dimensional gauge theories revisited
TL;DR: In this paper, a non-abelian version of the Duistermaat-Heckman integration formula is used to carry out the functional integral for two-dimensional quantum Yang-Mills theory.
Renormalization of the Abelian Higgs-Kibble Model
C. Becchi,A. Rouet,R. Stora +2 more
TL;DR: In this paper, the perturbative renormalization of the abelian Higgs-Kibble model is studied within the class of renormalizable gauges which are odd under charge conjugation.
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Dilaton gravity in two-dimensions
TL;DR: In this paper, a review of general two-dimensional models of gravity allows to tackle basic questions of quantum gravity, bypassing important technical complications which make the treatment in higher dimensions difficult.
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Lectures on 2D Yang-Mills Theory, Equivariant Cohomology and Topological Field Theories
TL;DR: In this paper, a review of recent developments in two-dimensional YangMills theory and the construction of topological field theory Lagrangians is discussed from the point of view of infinite-dimensional differential geometry, emphasizing the unifying role of equivariant cohomology both as the underlying principle in the formulation of BRST transformation laws and as a central concept in the geometrical interpretation of path integrals.
References
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Book
Principles of Algebraic Geometry
Phillip Griffiths,Joe Harris +1 more
TL;DR: In this paper, a comprehensive, self-contained treatment of complex manifold theory is presented, focusing on results applicable to projective varieties, and including discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex.
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On gauge invariance and vacuum polarization
TL;DR: In this paper, it was shown that the extraction of gauge invariants from a formally gauge invariant theory is ensured if one employs methods of solution that involve only gauge covariant quantities.
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Quantum field theory and the Jones polynomial
TL;DR: In this paper, it was shown that 2+1 dimensional quantum Yang-Mills theory with an action consisting purely of the Chern-Simons term is exactly soluble and gave a natural framework for understanding the Jones polynomial of knot theory in three dimensional terms.
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Dynamical Breaking of Supersymmetry
TL;DR: In this article, general conditions for dynamical supersymmetry breaking are discussed and examples are given (in 0 + 1 and 2 + 1 dimensions) in which such a program in four dimensions is possible.