scholarly journals POLARIZATION VECTORS AND DOUBLET STRUCTURE IN PLANAR FIELD THEORY

2001 ◽  
Vol 16 (24) ◽  
pp. 3967-3988 ◽  
Author(s):  
RABIN BANERJEE ◽  
BISWAJIT CHAKRABORTY ◽  
TOMY SCARIA
Keyword(s):  
Field Theory ◽  
Doublet Structure ◽  
Lagrangian And Hamiltonian Formalisms ◽  
Chern Simons ◽  
Dual Models

We establish the equivalence of the Maxwell–Chern–Simons–Proca model to a doublet of Maxwell–Chern–Simons models defined in a variety of covariant gauges. This equivalence is shown to hold at the level of polarization vectors of the basic fields. The analysis is done in both Lagrangian and Hamiltonian formalisms and compatible results are obtained. A similar equivalence with a doublet of self and anti-self dual models is briefly discussed.

scholarly journals Duality between Topologically Massive and Self-Dual Models

1997 ◽  
Vol 12 (35) ◽  
pp. 2707-2716 ◽  
Author(s):  
J. C. Le Guillou ◽  
E. F. Moreno ◽  
C. Núñez ◽  
F. A. Schaposnik
Keyword(s):  
Field Theory ◽  
Classical Limit ◽  
Brst Symmetry ◽  
Three Dimensions ◽  
Topological Field Theory ◽  
Topological Field ◽  
Chern Simons ◽  
Dual Models

We show that, with the help of a general BRST symmetry, different theories in three dimensions can be connected through a fundamental topological field theory related to the classical limit of the Chern–Simons model.

scholarly journals Symmetry-resolved entanglement in AdS3/CFT2 coupled to U(1) Chern-Simons theory

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Suting Zhao ◽  
Christian Northe ◽  
René Meyer
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Gauge Field ◽  
Wilson Line ◽  
Entanglement Entropy ◽  
Simons Theory ◽  
Two Dimensional ◽  
Conformal Field ◽  
Chern Simons ◽  
Chern Simons Theory

Abstract We consider symmetry-resolved entanglement entropy in AdS3/CFT2 coupled to U(1) Chern-Simons theory. We identify the holographic dual of the charged moments in the two-dimensional conformal field theory as a charged Wilson line in the bulk of AdS3, namely the Ryu-Takayanagi geodesic minimally coupled to the U(1) Chern-Simons gauge field. We identify the holonomy around the Wilson line as the Aharonov-Bohm phases which, in the two-dimensional field theory, are generated by charged U(1) vertex operators inserted at the endpoints of the entangling interval. Furthermore, we devise a new method to calculate the symmetry resolved entanglement entropy by relating the generating function for the charged moments to the amount of charge in the entangling subregion. We calculate the subregion charge from the U(1) Chern-Simons gauge field sourced by the bulk Wilson line. We use our method to derive the symmetry-resolved entanglement entropy for Poincaré patch and global AdS3, as well as for the conical defect geometries. In all three cases, the symmetry resolved entanglement entropy is determined by the length of the Ryu-Takayanagi geodesic and the Chern-Simons level k, and fulfills equipartition of entanglement. The asymptotic symmetry algebra of the bulk theory is of $$ \hat{\mathfrak{u}}{(1)}_k $$ u ̂ 1 k Kac-Moody type. Employing the $$ \hat{\mathfrak{u}}{(1)}_k $$ u ̂ 1 k Kac-Moody symmetry, we confirm our holographic results by a calculation in the dual conformal field theory.

scholarly journals Chern-Simons gravity dual of BCFT

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Tadashi Takayanagi ◽  
Takahiro Uetoko
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Entanglement Entropy ◽  
Einstein Gravity ◽  
Conformal Field ◽  
Holographic Entanglement Entropy ◽  
The World ◽  
Higher Spin ◽  
End Of The World ◽  
Chern Simons

Abstract In this paper we provide a Chern-Simons gravity dual of a two dimensional conformal field theory on a manifold with boundaries, so called boundary conformal field theory (BCFT). We determine the correct boundary action on the end of the world brane in the Chern-Simons gauge theory. This reproduces known results of the AdS/BCFT for the Einstein gravity. We also give a prescription of calculating holographic entanglement entropy by employing Wilson lines which extend from the AdS boundary to the end of the world brane. We also discuss a higher spin extension of our formulation.

scholarly journals A Chern-Simons effective field theory for the Pfaffian quantum Hall state

1998 ◽  
Vol 516 (3) ◽  
pp. 704-718 ◽  
Author(s):  
Eduardo Fradkin ◽  
Chetan Nayak ◽  
Alexei Tsvelik ◽  
Frank Wilczek
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Quantum Hall ◽  
Effective Field ◽  
Chern Simons ◽  
Quantum Hall State

TETRAHEDRA AND POLYNOMIAL EQUATIONS IN TOPOLOGICAL FIELD THEORY

1991 ◽  
Vol 06 (20) ◽  
pp. 3571-3598 ◽  
Author(s):  
NOUREDDINE CHAIR ◽  
CHUAN-JIE ZHU
Keyword(s):  
Field Theory ◽  
Topological Field Theory ◽  
Fundamental Representation ◽  
Conformal Blocks ◽  
Conformal Field ◽  
Witten Theory ◽  
Topological Field ◽  
General Program ◽  
The One ◽  
Chern Simons

Some tetrahedra in SUk(2) Chern-Simons-Witten theory are computed. The results can be used to compute an arbitrary tetrahedron inductively by fusing with the fundamental representation. The results obtained are in agreement with those of quantum groups. By associating a (finite) topological field theory (FTFT) to every rational conformal field theory (RCFT), we show that the pentagon and hexagon equations in RCFT follow directly from some skein relations in FTFT. By generalizing the operation of surgery on links in FTFT, we also derive an explicit expression for the modular transformation matrix S(k) of the one-point conformal blocks on a torus in RCFT and the equations satisfied by S(k), in agreement with those required in RCFT. The implication of our results on the general program of classifying RCFT is also discussed.

scholarly journals Chern–Simons–Rozansky–Witten topological field theory

2009 ◽  
Vol 823 (3) ◽  
pp. 403-427 ◽  
Author(s):  
Anton Kapustin ◽  
Natalia Saulina
Keyword(s):  
Field Theory ◽  
Topological Field Theory ◽  
Topological Field ◽  
Chern Simons

scholarly journals THE UNIVERSAL LINK POLYNOMIAL

1992 ◽  
Vol 07 (05) ◽  
pp. 877-945 ◽  
Author(s):  
E. GUADAGNINI
Keyword(s):  
Field Theory ◽  
Closed Form ◽  
Lie Algebra ◽  
Wilson Line ◽  
Expectation Values ◽  
Simple Lie Algebra ◽  
Chern Simons

The solution of the non-Abelian SU (N) quantum Chern–Simons field theory defined in R3 is presented. It is shown how to compute the expectation values of the Wilson line operators, associated with oriented framed links, in closed form. The main properties of the universal link polynomial, defined by these expectation values, are derived in the case of a generic real simple Lie algebra. The resulting polynomials for some simple examples of links are reported.

scholarly journals BATALIN–VILKOVISKY YANG–MILLS THEORY AS A HOMOTOPY CHERN–SIMONS THEORY VIA STRING FIELD THEORY

2009 ◽  
Vol 24 (07) ◽  
pp. 1309-1331 ◽  
Author(s):  
ANTON M. ZEITLIN
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Simons Theory ◽  
Yang Mills ◽  
Algebraic Constructions ◽  
Chern Simons ◽  
Chern Simons Theory

We show explicitly how Batalin–Vilkovisky Yang–Mills action emerges as a homotopy generalization of Chern–Simons theory from the algebraic constructions arising from string field theory.

scholarly journals A system of elliptic equations arising in Chern–Simons field theory

2007 ◽  
Vol 247 (2) ◽  
pp. 289-350 ◽  
Author(s):  
Chang-Shou Lin ◽  
Augusto C. Ponce ◽  
Yisong Yang
Keyword(s):  
Field Theory ◽  
Elliptic Equations ◽  
Chern Simons

Interacting string field theory and Chern-Simons form

1987 ◽  
Vol 35 (2) ◽  
pp. 639-647 ◽  
Author(s):  
Ngee-Pong Chang ◽  
Han-ying Guo ◽  
Zongan Qiu ◽  
Ke Wu
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Chern Simons
Sign in / Sign up

Export Citation Format

Share Document