SP(2)–BRST quantization of the antisymmetric tensor gauge theory

1990 ◽  
Vol 68 (4-5) ◽  
pp. 454-455
Author(s):  
Won-Sang Chung ◽  
Minho Chung ◽  
Jae-Kwan Kim
Keyword(s):  
Gauge Theory ◽  
Irreducible Representation ◽  
Brst Quantization ◽  
Antisymmetric Tensor ◽  
Invariant Action ◽  
General Method

A general method is given for the construction of gauge-fixed BRS and anti-BRS invariant action for the antisymmetric tensor gauge theory. The method is based on the single requirement that the space of fields carries an irreducible representation of the SP(2)–BRST algebra.

Hamiltonian BRST quantization of antisymmetric tensor gauge theory

1989 ◽  
Vol 322 (2) ◽  
pp. 587-604 ◽  
Author(s):  
M. Blagojević ◽  
D.S. Popović ◽  
B. Sazdović
Keyword(s):  
Gauge Theory ◽  
Brst Quantization ◽  
Antisymmetric Tensor

BRST quantization of vector and axial-vector gauge theory

1993 ◽  
Vol 48 (10) ◽  
pp. 4916-4918
Author(s):  
Dae Sung Hwang ◽  
Chang-Yeong Lee
Keyword(s):  
Gauge Theory ◽  
Brst Quantization ◽  
Axial Vector ◽  
Vector Gauge

scholarly journals Flavor symmetry of 5d SCFTs. Part II. Applications

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Lakshya Bhardwaj
Keyword(s):  
Gauge Theory ◽  
Flavor Symmetry ◽  
Gauge Algebra ◽  
Mass Deformation ◽  
General Method

Abstract In Part I of this series of papers, we described a general method for determining the flavor symmetry of any 5d SCFT which can be constructed by integrating out BPS particles from some 6d SCFT compactified on a circle. In this part, we apply the method to explicitly determine the flavor symmetry of those 5d SCFTs which reduce, upon a mass deformation, to some 5d$$ \mathcal{N} $$ N = 1 gauge theory carrying a simple gauge algebra. In these cases, the flavor symmetry of the 5d gauge theory is often enhanced at the conformal point. We use our method to determine this enhancement.

SUPERSYMMETRIC TENSOR GAUGE THEORIES

1989 ◽  
Vol 04 (14) ◽  
pp. 1343-1353 ◽  
Author(s):  
T.E. CLARK ◽  
C.-H. LEE ◽  
S.T. LOVE
Keyword(s):  
Gauge Theory ◽  
Gauge Symmetry ◽  
Sigma Models ◽  
Gauge Field ◽  
Gauge Theories ◽  
Symmetric Tensor ◽  
Global Symmetry ◽  
Invariant Action ◽  
Symmetry Transformations ◽  
Linear Sigma Models

The supersymmetric extensions of anti-symmetric tensor gauge theories and their associated tensor gauge symmetry transformations are constructed. The classical equivalence between such supersymmetric tensor gauge theories and supersymmetric non-linear sigma models is established. The global symmetry of the supersymmetric tensor gauge theory is gauged and the locally invariant action is obtained. The supercurrent on the Kähler manifold is found in terms of the supersymmetric tensor gauge field.

HAMILTONIAN BRST QUANTIZATION OF AN ABELIAN MASSIVE VECTOR FIELD WITH AN ANTISYMMETRIC TENSOR FIELD

1995 ◽  
Vol 10 (10) ◽  
pp. 813-822 ◽  
Author(s):  
HIROHUMI SAWAYANAGI
Keyword(s):  
Vector Field ◽  
Tensor Field ◽  
Brst Quantization ◽  
Antisymmetric Tensor ◽  
Massive Vector ◽  
Fixed Action ◽  
Antisymmetric Tensor Field ◽  
Covariant Gauge ◽  
New Variables

The Lagrangian of an Abelian massive vector field gives a system with second class constraints. We apply the Batalin–Fradkin formalism, which converts second class constraints to first class ones through the introduction of new variables. As a new variable, instead of the Stueckelberg field, we introduce an antisymmetric tensor field. A covariant gauge-fixed action is presented. The unitarity and the duality are also discussed.

QUANTUM SUPERGROUPS AND LINK POLYNOMIALS

1993 ◽  
Vol 05 (03) ◽  
pp. 533-549 ◽  
Author(s):  
M. D. GOULD ◽  
I. TSOHANTJIS ◽  
A. J. BRACKEN
Keyword(s):  
Irreducible Representation ◽  
Quantum Groups ◽  
Braid Group ◽  
Usual Sense ◽  
Type I ◽  
Closed Formula ◽  
Matrix Representations ◽  
Quantum Supergroup ◽  
General Method

A general method for constructing invariants for quantum supergroups is applied to obtain a closed formula for link polynomials. For type I quantum supergroups, a realization of the braid group and corresponding link polynomial is determined, for each irreducible representation of the quantum supergroup in a certain class. Although these realizations are not matrix representations in the usual sense, nevertheless link polynomials are defined which are generalizations of those previously obtained from quantum groups. To illustrate the theory, link polynomials corresponding to the defining representations of the quantum supergroups Uq [gl(m|n)], Uq [C (m + 1)] are determined explicitly.

scholarly journals A SUPERSPACE FORMULATION OF ABELIAN ANTISYMMETRIC TENSOR GAUGE THEORY

2000 ◽  
Vol 15 (15) ◽  
pp. 965-978 ◽  
Author(s):  
SHINICHI DEGUCHI ◽  
BHABANI PRASAD MANDAL
Keyword(s):  
Gauge Theory ◽  
Tensor Field ◽  
Ad Hoc ◽  
Compact Form ◽  
Antisymmetric Tensor ◽  
Lagrange Equations ◽  
Generating Functional ◽  
Transformation Rules ◽  
Antisymmetric Tensor Field ◽  
Rank 2

We apply a superspace formulation to the four-dimensional gauge theory of a massless Abelian antisymmetric tensor field of rank 2. The theory is formulated in a six-dimensional superspace using rank-2 tensor, vector and scalar superfields and their associated supersources. It is shown that BRS transformation rules of fields are realized as Euler–Lagrange equations without assuming the so-called horizontality condition in an ad hoc manner and that a generating functional [Formula: see text] constructed in the superspace reduces to that of the ordinary gauge theory of Abelian rank-2 antisymmetric tensor field. The WT identity for this theory is derived by making use of the superspace formulation and is expressed in a neat and compact form [Formula: see text].

scholarly journals SU(5/3) SUPERALGEBRA AND ITS REPRESENTATIONS OF FUNDAMENTAL PARTICLES

2013 ◽  
Vol 28 (19) ◽  
pp. 1350084
Author(s):  
CHANG-HO KIM ◽  
SEUNG KOOK KIM ◽  
YOUNG-JAI PARK
Keyword(s):  
Gauge Theory ◽  
Irreducible Representation ◽  
Three Generations ◽  
Fundamental Particles ◽  
Extra Structure

We study the lowest-dimensional typical and atypical representations of SU(5/3) superalgebra as a possible unified gauge theory having a natural SU(5) subalgebra with SU(3) extra structure, which will be used to accommodate three generations of fundamental particles. By using Kac–Dynkin weight techniques, we find that all known quarks and leptons can be really accommodated in one atypical irreducible representation (irrep) of SU(5/3).

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