• 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. 

Surface operators , chiral rings and localization in N = 2 gauge theories

We 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 equations for

Surface operators in 5d gauge theories and duality relations

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

Partition functions of supersymmetric gauge theories in noncommutative R**2D and their unified perspective

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

Surface operators, chiral rings and localization in N$$ \mathcal{N} $$ =2 gauge theories

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

Chiral rings for surface operators in 4d and 5d SQCD

  • J. Baek
  • 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

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

Twisted Six Dimensional Gauge Theories on Tori, Matrix Models, and Integrable Systems

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

References

SHOWING 1-10 OF 35 REFERENCES

Five-dimensional gauge theories and quantum mechanical matrix models

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

Five dimensional gauge theories and relativistic integrable systems

Chiral Rings and Phases of Supersymmetric Gauge Theories

We solve for the expectation values of chiral operators in supersymmetric U(N) gauge theories with matter in the adjoint, fundamental and anti-fundamental representations. A simple geometric picture

5d field theories and M theory

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

Matrix models, topological strings, and supersymmetric gauge theories

Matrix model approach to the Script N = 2 U(N) gauge theory with matter in the fundamental representation

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

Higher dimensional supersymmetry in 4D superspace

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

Matrix model approach to the = 2 U(N) gauge theory with matter in the fundamental representation

: We use matrix model technology to study the N = 2 U( N ) gauge theory with N f massive hypermultiplets in the fundamental representation. We perform a completely perturbative calculation of the

Instanton sums and five-dimensional gauge theories