O(2) CHERN–SIMONS GAUGE THEORY AND Z2 ORBIFOLDS

1992 ◽  
Vol 07 (05) ◽  
pp. 1007-1023 ◽  
Author(s):  
KAORU AMANO ◽  
HIROSHI SHIROKURA
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Coherent State ◽  
Gauge Field ◽  
Three Dimensional ◽  
The State ◽  
Explicit Calculation ◽  
Gauge Field Theory ◽  
State Representation ◽  
Chern Simons

We quantize the three-dimensional O(2) pure Chern–Simons gauge field theory in a functional coherent-state representation. Both trivial and nontrivial flat O(2) bundles admit physical states. An explicit calculation relates the state functionals to the rational Z2-orbifold models.

COHERENT STATE QUANTIZATION OF CHERN-SIMONS THEORY

1990 ◽  
Vol 05 (05) ◽  
pp. 959-988 ◽  
Author(s):  
MICHIEL BOS ◽  
V.P. NAIR
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Coherent State ◽  
Gauge Theories ◽  
Three Dimensional ◽  
Simons Theory ◽  
Two Dimensional ◽  
Conformal Field ◽  
Chern Simons ◽  
Chern Simons 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.

THE FLAT OSp(1,2/2) SUPERCONNECTION CONDITION: 2−d SUPERGRAVITY AND TOPOLOGICAL 2−d GRAVITY

1994 ◽  
Vol 09 (26) ◽  
pp. 2399-2410
Author(s):  
M. LAGRAA
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Gauge Field ◽  
Gauge Field Theory ◽  
Quantum Action

We consider pure 2−d supergravity as a flat OSp (1,2/2) superconnection of a super-gauge field theory on a (2, 2)−d supermanifold. From an appropriate Wigner-Inonu contraction of the OSp (1,2/2) algebra, we show that the superzweibein [Formula: see text] and the U(1) superconnection ΩM of 2−d supergravity transmute into BRST multiplets composed of the fields, their ghosts and the auxiliary fields of gauge theory of topological 2−d gravity. These fields and their topological BRST transformations can be recast in this geometric formalism where the “gravitino” now plays the role of ghost related to the zweibein shift of topological 2−d gravity. We close this paper by constructing a gauge fixed term of the quantum action in terms of superfield.

scholarly journals Chern-Simons gauge field theory of two-dimensional ferromagnets

1993 ◽  
Vol 48 (21) ◽  
pp. 15787-15791 ◽  
Author(s):  
L. Martina ◽  
O. K. Pashaev ◽  
G. Soliani
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Gauge Field Theory ◽  
Two Dimensional ◽  
Chern Simons

METAL-INSULATOR CROSSOVER IN HIGH Tc CUPRATES: GAUGE FIELD THEORY VERSUS EXPERIMENTS

2002 ◽  
Vol 16 (20n22) ◽  
pp. 3199-3202
Author(s):  
P. A. MARCHETTI ◽  
Z.-B. SU ◽  
L. YU
Keyword(s):  
Magnetic Field ◽  
Field Theory ◽  
Gauge Field ◽  
Gauge Field Theory ◽  
Metal Insulator ◽  
High Tc ◽  
Theory Versus ◽  
Underdoped Cuprates ◽  
Chern Simons ◽  
High Tc Cuprates

The U(1)×SU(2) Chern-Simons gauge field theory, proposed by the authors to explain in a unified fashion the metal-insulator crossover of the in-plane resistivity upon temperature decrease in heavily underdoped cuprates without magnetic field and a similar phenomenon, observed in several classes of superconducting cuprates, when a strong magnetic field suppresses the superconductivity, is briefly outlined and confronted with recent experiments.

scholarly journals INTEGRABLE CHERN-SIMONS GAUGE FIELD THEORY IN 2+1 DIMENSIONS

1996 ◽  
Vol 11 (21) ◽  
pp. 1713-1728 ◽  
Author(s):  
O.K. PASHAEV
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Continuous Flow ◽  
Spin Model ◽  
Gauge Field Theory ◽  
Gauge Invariant ◽  
Zero Curvature Representation ◽  
Zero Curvature ◽  
The Media ◽  
Chern Simons

The classical spin model in planar condensed media is represented as the U(1) Chern-Simons gauge field theory. When the vorticity of the continuous flow of the media coincides with the statistical magnetic field, which is necessary for the model’s integrability, the theory admits zero curvature connection. This allows us to formulate the model in terms of gauge-invariant fields whose evolution is described by the Davey-Stewartson (DS) equations. The Self-dual Chern-Simons solitons described by the Liouville equation are subjected to the corresponding integrable dynamics. As a by-product the (2+1)-dimensional zero-curvature representation for the DS equation is obtained as well as the new reduction conditions related to the DS-I case. The physical interpretation of the Bäcklund transformations in terms of the Chern-Simons gauge theory is given. Some possible applications for the statistical transmutation in the anyon superfluid and TQFT are briefly discussed.

scholarly journals NOVEL TOPOLOGICAL INVARIANT IN THE U(1) GAUGE FIELD THEORY

2007 ◽  
Vol 22 (29) ◽  
pp. 2201-2208 ◽  
Author(s):  
YISHI DUAN ◽  
XINHUI ZHANG ◽  
LI ZHAO
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Potential Theory ◽  
Three Dimensional ◽  
Current Theory ◽  
Topological Invariant ◽  
Gauge Potential ◽  
Gauge Field Theory ◽  
Knot Invariant ◽  
Topological Current

Based on the decomposition of U(1) gauge potential theory and the ϕ-mapping topological current theory, the three-dimensional knot invariant and a four-dimensional new topological invariant are discussed in the U(1) gauge field.

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