scholarly journals Duality in supersymmetric SU(Nc) gauge theory with two adjoint chiral superfields

1996 ◽  
Vol 478 (1-2) ◽  
pp. 123-140 ◽  
Author(s):  
J Brodie
Keyword(s):  
Gauge Theory ◽  
Chiral Superfields

scholarly journals Superfield Approach to Nilpotency and Absolute Anticommutativity of Conserved Charges: 2D Non-Abelian 1-Form Gauge Theory

2018 ◽  
Vol 2018 ◽  
pp. 1-23 ◽  
Author(s):  
S. Kumar ◽  
B. Chauhan ◽  
R. P. Malik
Keyword(s):  
Gauge Theory ◽  
Brst Symmetry ◽  
Theoretical Strength ◽  
Conserved Charges ◽  
Lagrangian Densities ◽  
Matter Fields ◽  
Chiral Superfields

We exploit the theoretical strength of augmented version of superfield approach (AVSA) to Becchi-Rouet-Stora-Tyutin (BRST) formalism to express the nilpotency and absolute anticommutativity properties of the (anti-)BRST and (anti-)co-BRST conserved charges for the two (1+1)-dimensional (2D) non-Abelian 1-form gauge theory (without any interaction with matter fields) in the language of superspace variables, their derivatives, and suitable superfields. In the proof of absolute anticommutativity property, we invoke the strength of Curci-Ferrari (CF) condition for the (anti-)BRST charges. No such outside condition/restriction is required in the proof of absolute anticommutativity of the (anti-)co-BRST conserved charges. The latter observation (as well as other observations) connected with (anti-)co-BRST symmetries and corresponding conserved charges are novel results of our present investigation. We also discuss the (anti-)BRST and (anti-)co-BRST symmetry invariance of the appropriate Lagrangian densities within the framework of AVSA. In addition, we dwell a bit on the derivation of the above fermionic (nilpotent) symmetries by applying the AVSA to BRST formalism, where only the (anti)chiral superfields are used.

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

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.

scholarly journals D-TERM DYNAMICAL SUPERSYMMETRY BREAKING GENERATING SPLIT ${\mathcal N} = 2$ GAUGINO MASSES OF MIXED MAJORANA–DIRAC TYPE

2012 ◽  
Vol 27 (26) ◽  
pp. 1250159 ◽  
Author(s):  
H. ITOYAMA ◽  
NOBUHITO MARU
Keyword(s):  
Gauge Theory ◽  
Supersymmetry Breaking ◽  
Explicit Form ◽  
Tree Level ◽  
Leading Order ◽  
Gap Equation ◽  
Four Dimensions ◽  
Hartree Fock ◽  
Self Consistent ◽  
Chiral Superfields

Under a few mild assumptions, [Formula: see text] supersymmetry (SUSY) in four dimensions is shown to be spontaneously broken in a metastable vacuum in a self-consistent Hartree–Fock approximation of Bardeen–Cooper–Schrieffer/Nambu–Jona-Lasinio (BCS/NJL) type to the leading order, in the gauge theory specified by the gauge kinetic function and the superpotential of adjoint chiral superfields, in particular, that possess [Formula: see text] extended SUSY spontaneously broken to [Formula: see text] at tree level. We derive an explicit form of the gap equation, showing the existence of a nontrivial solution. The [Formula: see text] gauginos in the observable sector receive mixed Majorana–Dirac masses and are split due to both the nonvanishing 〈D0〉 and 〈F0〉 induced with 〈D0〉. It is argued that proper physical applications and assessment of the range of the validity of our framework are made possible by rendering the approximation into [Formula: see text] expansion.

The Standard Theory

2017 ◽  
Author(s):  
John Iliopoulos
Keyword(s):  
Gauge Theory ◽  
Invariant Theory ◽  
Standard Theory ◽  
Strong Interactions ◽  
Gauge Invariant ◽  
Electromagnetic Interactions ◽  
Protons And Neutrons ◽  
Free Particles ◽  
Theoretical Predictions ◽  
Theory And Experiment

All ingredients of the previous chapters are combined in order to build a gauge invariant theory of the interactions among the elementary particles. We start with a unified model of the weak and the electromagnetic interactions. The gauge symmetry is spontaneously broken through the BEH mechanism and we identify the resulting BEH boson. Then we describe the theory known as quantum chromodynamics (QCD), a gauge theory of the strong interactions. We present the property of confinement which explains why the quarks and the gluons cannot be extracted out of the protons and neutrons to form free particles. The last section contains a comparison of the theoretical predictions based on this theory with the experimental results. The agreement between theory and experiment is spectacular.

Integrability: From Statistical Systems to Gauge Theory

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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