• Corpus ID: 18093478

# Five-Dimensional Gauge Theories and Unitary Matrix Models

@article{Wijnholt2004FiveDimensionalGT,
title={Five-Dimensional Gauge Theories and Unitary Matrix Models},
author={Martijn Wijnholt},
journal={arXiv: High Energy Physics - Theory},
year={2004}
}
• M. Wijnholt
• Published 6 January 2004
• Physics
• arXiv: High Energy Physics - Theory
The matrix model computations of effective superpotential terms in N=1 supersymmetric gauge theories in four dimensions have been proposed to apply more generally to gauge theories in higher dimensions. We discuss aspects of five-dimensional gauge theory compactified on a circle, which leads to a unitary matrix model.
• Mathematics
• 2017
A bstractWe study half-BPS surface operators in 5d N$$\mathcal{N}$$ = 1 gauge theories compactified on a circle. Using localization methods and the twisted chiral ring relations of coupled 3d/5d
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• 2006
We investigate cohomological gauge theories in noncommutative R2D. We show that vacuum expectation values of the theories do not depend on noncommutative parameters, and the large noncommutative
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• 2003
We use the Dijkgraaf-Vafa technique to study massive vacua of 6D SU(N) SYM theories on tori with R-symmetry twists. One finds a matrix model living on the compactification torus with a genus 2
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• Mathematics, Physics
Journal of High Energy Physics
• 2019
A bstractChiral rings of two-dimensional (2,2) theories coupled to 4d N$$\mathcal{N}$$ = 2 theories with matter hypermultiplets are studied. Specifically, the vacua of the twisted superpotential of
Geometry from Algebra: The Holographic Emergence of Spacetime in String Theory by Surya Ganguli Doctor of Philosophy in Physics University of California, Berkeley Professor Petr Hořava, Chair In the
• J. Baek
• Materials Science
Journal of High Energy Physics
• 2019
Chiral rings of two-dimensional (2,2) theories coupled to 4d N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}
• Mathematics
• 2017
A bstractWe study half-BPS surface operators in supersymmetric gauge theories in four and five dimensions following two different approaches. In the first approach we analyze the chiral ring

• 2017

## References

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We show how the Dijkgraaf-Vafa matrix model proposal can be extended to describe five-dimensional gauge theories compactified on a circle to four dimensions. This involves solving a certain quantum
5-brane configurations describing 5d field theories are promoted to an M-theory description a la Witten in terms of polynomials in two complex variables. The coefficients of the polynomials are the
• Physics
• 2003
We use matrix model technology to study the = 2 U(N) gauge theory with Nf massive hypermultiplets in the fundamental representation. We perform a completely perturbative calculation of the periods ai
• Physics
• 2002
We present an explicit formulation of supersymmetric Yang-Mills theories from = 5 to 10 dimensions in the familiar = 1, = 4 superspace. This provides the rules for globally supersymmetric model
• Mathematics
• 2003
We show how the full holomorphic geometry of local Calabi-Yau threefold compactifications with N=1 supersymmetry can be obtained from matrix models. In particular for the conifold geometry we relate