Supersymmetric gauge theories, quantization of $\mathcal{M}_{\mathrm{flat}}$, and conformal field theory

Three-dimensional Chern-Simons gauge theories are quantized in a functional coherent state formalism. The connection with two-dimensional conformal field theory is found to emerge naturally. The normalized wave functionals are identified as generating functionals for the chiral blocks of two-dimensional current algebra.

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a-MAXIMIZATION IN ${\mathcal N}=1$ SUPERSYMMETRIC Spin(10) GAUGE THEORIES

International Journal of Modern Physics A ◽

10.1142/s0217751x10051037 ◽

2010 ◽

Vol 25 (31) ◽

pp. 5595-5645

Author(s):

TERUHIKO KAWANO ◽

FUTOSHI YAGI

Keyword(s):

Field Theory ◽

Gauge Theory ◽

Conformal Field Theory ◽

Gauge Theories ◽

Unitarity Bound ◽

Conformal Field ◽

Coulomb Phase ◽

Vector Representations ◽

Chiral Superfields

A summary is reported on our previous publications about four-dimensional [Formula: see text] supersymmetric Spin(10) gauge theory with chiral superfields in the spinor and vector representations in the non-Abelian Coulomb phase. Carrying out the method of a-maximization, we studied decoupling operators in the infrared and the renormalization flow of the theory. We also give a brief review on the non-Abelian Coulomb phase of the theory after recalling the unitarity bound and the a-maximization procedure in four-dimensional conformal field theory.

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Localization and N=2 supersymmetric field theory

Integrability: From Statistical Systems to Gauge Theory ◽

10.1093/oso/9780198828150.003.0011 ◽

2019 ◽

pp. 501-540

Author(s):

Vasily Pestun

Keyword(s):

Field Theory ◽

Integrable System ◽

Gauge Theories ◽

Supersymmetric Gauge Theories ◽

Kahler Geometry ◽

Hitchin Systems ◽

Supersymmetric Gauge

The lectures give an introduction to supersymmetric gauge theories from a mathematical perspective. Basic notions about Kähler and special Kähler geometry, and electric–magnetic duality are introduced. Supersymmetry and N = 1 and N = 2 supersymmetric gauge theories are defined and described in detail. The last section deals with the Seiberg–Witten integrable system and Hitchin systems

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A Review of Conformal Field Theory in 2D

JOURNAL OF ADVANCES IN PHYSICS ◽

10.24297/jap.v6i2.1784 ◽

2014 ◽

Vol 6 (2) ◽

pp. 1079-1105

Author(s):

Rahul Nigam

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

Conformal Field Theory ◽

Statistical Mechanics ◽

Critical Behavior ◽

Verma Module ◽

Virasoro Algebra ◽

Quantum Field ◽

Conformal Field ◽

Insight Into

In this review we study the elementary structure of Conformal Field Theory in which is a recipe for further studies of critical behavior of various systems in statistical mechanics and quantum field theory. We briefly review CFT in dimensions which plays a prominent role for example in the well-known duality AdS/CFT in string theory where the CFT lives on the AdS boundary. We also describe the mapping of the theory from the cylinder to a complex plane which will help us gain an insight into the process of radial quantization and radial ordering. Finally we will develop the representation of the Virasoro algebra which is the well-known "Verma module".Â Â

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Conformal field theory

Physics Subject Headings (PhySH) ◽

10.29172/b59fbf99aaba4b28b58a6104444592fb ◽

2018 ◽

Keyword(s):

Field Theory ◽

Conformal Field Theory ◽

Conformal Field

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The Fusion Matrix and the Verlinde Loop Operators in Conformal Field Theory

CR-Geometry and Overdetermined Systems ◽

10.2969/aspm/02510285 ◽

2018 ◽

Author(s):

Duong H. Phong ◽

Roberto Silvotti

Keyword(s):

Field Theory ◽

Conformal Field Theory ◽

Conformal Field

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Integrability: From Statistical Systems to Gauge Theory

10.1093/oso/9780198828150.001.0001 ◽

2019 ◽

Keyword(s):

Field Theory ◽

Gauge Theory ◽

Summer School ◽

Condensed Matter ◽

Theoretical Physics ◽

Conformal Field ◽

The Past ◽

Background Material ◽

Supersymmetric Gauge ◽

Statistical Systems

This volume contains lectures delivered at the Les Houches Summer School ‘Integrability: from statistical systems to gauge theory’ held in June 2016. The School was focussed on applications of integrability to supersymmetric gauge and string theory, a subject of high and increasing interest in the mathematical and theoretical physics communities over the past decade. Relevant background material was also covered, with lecture series introducing the main concepts and techniques relevant to modern approaches to integrability, conformal field theory, scattering amplitudes, and gauge/string duality. The book will be useful not only to those working directly on integrablility in string and guage theories, but also to researchers in related areas of condensed matter physics and statistical mechanics.

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