scholarly journals On the Pulsating Strings inAdS4×ℂℙ3

2009 ◽  
Vol 2009 ◽  
pp. 1-22 ◽  
Author(s):  
H. Dimov ◽  
R. C. Rashkov
Keyword(s):  
Gauge Theory ◽  
Simons Theory ◽  
Anomalous Dimensions ◽  
Chern Simons ◽  
Chern Simons Theory

We study the class of pulsating strings onAdS4×ℂℙ3. Using a generalized ansatz for pulsating string configurations we find new solutions of this class. Further we quasiclassically quantize the theory and obtain the first corrections to the energy. The latter, due toAdS/CFTcorrespondence, is supposed to give the anomalous dimensions of operators of the gauge theory dual𝒩=6Chern-Simons theory.

scholarly journals STATIC POTENTIAL AND A NEW GENERALIZED CONNECTION IN THREE DIMENSIONS

2004 ◽  
Vol 19 (22) ◽  
pp. 1695-1700 ◽  
Author(s):  
PATRICIO GAETE
Keyword(s):  
Gauge Theory ◽  
Three Dimensions ◽  
Simons Theory ◽  
Static Potential ◽  
Gauge Invariant ◽  
Confining Potential ◽  
Static Interaction ◽  
Pure Gauge Theory ◽  
Chern Simons ◽  
Chern Simons Theory

For a recently proposed pure gauge theory in three dimensions, without a Chern–Simons term, we calculate the static interaction potential within the structure of the gauge-invariant variables formalism. As a consequence, a confining potential is obtained. This result displays a marked qualitative departure from the usual Maxwell–Chern–Simons theory.

A three-dimensional gauge theory

1992 ◽  
Vol 70 (5) ◽  
pp. 301-304 ◽  
Author(s):  
D. G. C. McKeon
Keyword(s):  
Gauge Theory ◽  
Scalar Field ◽  
Three Dimensional ◽  
Background Field ◽  
Field Method ◽  
Simons Theory ◽  
Point Function ◽  
Background Field Method ◽  
Chern Simons ◽  
Chern Simons Theory

We investigate a three-dimensional gauge theory modeled on Chern–Simons theory. The Lagrangian is most compactly written in terms of a two-index tensor that can be decomposed into fields with spins zero, one, and two. These all mix under the gauge transformation. The background-field method of quantization is used in conjunction with operator regularization to compute the real part of the two-point function for the scalar field.

scholarly journals THE STRUCTURE OF ADS BLACK HOLES AND CHERN–SIMONS THEORY IN 2 + 1 DIMENSIONS

1999 ◽  
Vol 14 (04) ◽  
pp. 505-520 ◽  
Author(s):  
SHARMANTHIE FERNANDO ◽  
FREYDOON MANSOURI
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Gauge Theory ◽  
Excited States ◽  
Simons Theory ◽  
De Sitter ◽  
Sitter Group ◽  
Ads Black Holes ◽  
Chern Simons ◽  
Chern Simons Theory

We study anti-de Sitter black holes in 2 + 1 dimensions in terms of Chern–Simons gauge theory of the anti-de Sitter group coupled to a source. Taking the source to be an anti-de Sitter state specified by its Casimir invariants, we show how all the relevant features of the black hole are accounted for. The requirement that the source be a unitary representation leads to a discrete tower of excited states which provide a microscopic model for the black hole.

scholarly journals THE R→α′/R SPACE-TIME DUALITY FROM THE 2+1 POINT OF VIEW

1991 ◽  
Vol 06 (06) ◽  
pp. 501-515 ◽  
Author(s):  
YAN I. KOGAN
Keyword(s):  
Gauge Theory ◽  
Gauge Invariance ◽  
Mass Term ◽  
Point Of View ◽  
Spontaneous Breaking ◽  
Simons Theory ◽  
Membrane Theory ◽  
Small Scales ◽  
Chern Simons ◽  
Chern Simons Theory

The duality between the large and small compactification radii in string theory (bosonic) is considered in the open topological membrane theory. The 2+1 analog of this R→α′/R duality is the duality between large and small scales in the corresponding topologically massive gauge theory with the spontaneous breaking of gauge invariance. This 2+1 duality is a consequence of the equivalence between the Chern-Simons theory with the mass term and the topologically massive gauge theory.

scholarly journals On higher holonomy invariants in higher gauge theory I

2016 ◽  
Vol 13 (07) ◽  
pp. 1650090 ◽  
Author(s):  
Roberto Zucchini
Keyword(s):  
Gauge Theory ◽  
Gauge Transformation ◽  
Simons Theory ◽  
Arbitrary Genus ◽  
Higher Gauge Theory ◽  
Chern Simons ◽  
Base Data ◽  
Chern Simons Theory

This is the first of a series of two technical papers devoted to the analysis of holonomy invariants in strict higher gauge theory with end applications in higher Chern–Simons theory. For a flat 2-connection, we define the 2-holonomy of surface knots of arbitrary genus and determine its covariance properties under 1-gauge transformation and change of base data.

scholarly journals 4D Chern–Simons theory and affine Gaudin models

2021 ◽  
Vol 111 (1) ◽  
Author(s):  
Benoît Vicedo
Keyword(s):  
Gauge Theory ◽  
Integrable Field Theories ◽  
Field Theories ◽  
Simons Theory ◽  
Gaudin Models ◽  
Chern Simons ◽  
Classical Integrable ◽  
Integrable Field ◽  
Chern Simons Theory

AbstractWe relate two formalisms recently proposed for describing classical integrable field theories. The first (Costello and Yamazaki in Gauge Theory and Integrability, III, 2019) is based on the action of four-dimensional Chern–Simons theory introduced and studied by Costello, Witten and Yamazaki. The second (Costello and Yamazaki, in Gauge Theory and Integrability, III, 2017) makes use of classical generalised Gaudin models associated with untwisted affine Kac–Moody algebras.

FLUID DYNAMICS, CHERN-SIMONS THEORY, AND THE QUANTUM HALL EFFECT

1991 ◽  
Vol 05 (16n17) ◽  
pp. 2735-2749 ◽  
Author(s):  
SAFI BAHCALL ◽  
LEONARD SUSSKIND
Keyword(s):  
Magnetic Field ◽  
Fluid Dynamics ◽  
Gauge Theory ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Simons Theory ◽  
Quantum Hall System ◽  
Chern Simons ◽  
Chern Simons Theory

In this paper we show that classical fluid dynamics in a plane is a gauge theory useful for studying aspects of the quantum Hall system. When the fluid is charged and placed in a magnetic field, Chern-Simons fields appear naturally and the fractional statistics of vortex excitations can be understood qualitatively. Applying the fluid picture to a gas of anyons shows that it superconducts.

scholarly journals On higher holonomy invariants in higher gauge theory II

2016 ◽  
Vol 13 (07) ◽  
pp. 1650091 ◽  
Author(s):  
Roberto Zucchini
Keyword(s):  
Gauge Theory ◽  
Yield Surface ◽  
Simons Theory ◽  
Crossed Module ◽  
Knot Invariants ◽  
Crossed Modules ◽  
Higher Gauge Theory ◽  
Definition Of ◽  
Chern Simons ◽  
Chern Simons Theory

This is the second of a series of two technical papers devoted to the analysis of holonomy invariants in strict higher gauge theory with end applications in higher Chern–Simons theory. We provide a definition of trace over a crossed module to yield surface knot invariants upon application to 2-holonomies. We show further that the properties of the trace are best described using the theory quandle crossed modules.

PARITY ANOMALY IN CHERN-SIMONS THEORY

1991 ◽  
Vol 06 (08) ◽  
pp. 727-738 ◽  
Author(s):  
G.P. KORCHEMSKY
Keyword(s):  
Gauge Theory ◽  
Effective Action ◽  
Simons Theory ◽  
Coupling Constant ◽  
Classical Action ◽  
Gauge Invariant ◽  
Chern Simons ◽  
Invariant Regularization ◽  
Chern Simons Theory

Ultraviolet (uv) divergences are canceled in the effective action of the D=3 Chern-Simons (CS) gauge theory but regularization is needed. It is impossible to introduce gauge invariant regularization and conserve the parity of the classical action. As a result, in the limit when regularization is removed the finite contribution to the effective action induced by parity-violating regulators remains which being added to the classical action leads to additive integer-valued renormalization of the coupling constant.

scholarly journals NEW GAUGE INVARIANT FORMULATION OF THE CHERN–SIMONS GAUGE THEORY: CLASSICAL AND QUANTAL ANALYSIS

2009 ◽  
Vol 24 (31) ◽  
pp. 5933-5975
Author(s):  
MU-IN PARK ◽  
YOUNG-JAI PARK
Keyword(s):  
Gauge Theory ◽  
Longitudinal Mode ◽  
Momentum Tensor ◽  
Simons Theory ◽  
Gauge Invariant ◽  
Invariant Formulation ◽  
Poincaré Algebra ◽  
Chern Simons ◽  
Schrödinger Picture ◽  
Chern Simons Theory

A recently proposed new gauge invariant formulation of the Chern–Simons gauge theory is considered in detail. This formulation is consistent with the gauge fixed formulation. Furthermore, it is found that the canonical (Noether) Poincaré generators are not gauge invariant even on the constraints surface and do not satisfy the Poincaré algebra contrast to usual case. It is the improved generators, constructed from the symmetric energy–momentum tensor, which are (manifestly) gauge invariant and obey the quantum as well as classical Poincaré algebra. The physical states are constructed and it is found in the Schrödinger picture that unusual gauge invariant longitudinal mode of the gauge field is crucial for constructing the physical wave-functional which is genuine to (pure) Chern–Simons theory. In matching to the gauge fixed formulation, we consider three typical gauges, Coulomb, axial and Weyl gauges as explicit examples. Furthermore, recent several confusions about the effect of Dirac's dressing function and the gauge fixings are clarified. The analysis according to old gauge independent formulation á la Dirac is summarized in an appendix.

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