Generalized link-invariants on 3-manifolds ?h � [0, 1] from Chern-Simons gauge and gravity theories

1991 ◽  
Vol 23 (4) ◽  
pp. 279-286
Author(s):  
Giuseppe Bonacina ◽  
Maurizio Martellini ◽  
Jeanette Nelson
Keyword(s):  
Link Invariants ◽  
Gravity Theories ◽  
Chern Simons

scholarly journals Chern–Simons-Like Gravity Theories

2014 ◽  
pp. 181-201 ◽  
Author(s):  
Eric A. Bergshoeff ◽  
Olaf Hohm ◽  
Wout Merbis ◽  
Alasdair J. Routh ◽  
Paul K. Townsend
Keyword(s):  
Gravity Theories ◽  
Chern Simons

ABOUT THE UNIQUENESS OF THE KONTSEVICH INTEGRAL

2002 ◽  
Vol 11 (05) ◽  
pp. 759-780 ◽  
Author(s):  
CHRISTINE LESCOP
Keyword(s):  
Uniqueness Theorem ◽  
Simons Theory ◽  
Link Invariants ◽  
Anomaly Formula ◽  
The Relationship ◽  
Chern Simons ◽  
Chern Simons Theory

We refine a Le and Murakami uniqueness theorem for the Kontsevich Integral in order to specify the relationship between the two (possibly equal) main universal Vassiliev link invariants: the Kontsevich Integral and the perturbative expression of the Chern-Simons theory. As a corollary, we prove that the Altschuler and Freidel anomaly [Formula: see text]-that groups the Bott and Taubes anomalous terms- is a combination of diagrams with two univalent vertices and we explicitly define the isomorphism of [Formula: see text] which transforms the Kontsevich integral into the Poirier limit of the perturbative expression of the Chern-Simons theory for framed links, as a function of α

scholarly journals Wilson lines in Chern-Simons theory and link invariants

1990 ◽  
Vol 330 (2-3) ◽  
pp. 575-607 ◽  
Author(s):  
E. Guadagnini ◽  
M. Martellini ◽  
M. Mintchev
Keyword(s):  
Simons Theory ◽  
Link Invariants ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals Chern–Simons and Born–Infeld gravity theories and Maxwell algebras type

2014 ◽  
Vol 74 (2) ◽  
Author(s):  
P. K. Concha ◽  
D. M. Peñafiel ◽  
E. K. Rodriguez ◽  
P. Salgado
Keyword(s):  
Gravity Theories ◽  
Chern Simons

CHERN-SIMONS THEORY AND KAUFFMAN POLYNOMIALS

1990 ◽  
Vol 05 (06) ◽  
pp. 1165-1195 ◽  
Author(s):  
YONG-SHI WU ◽  
KENGO YAMAGISHI
Keyword(s):  
Lie Algebras ◽  
Simons Theory ◽  
Wilson Loops ◽  
Expectation Values ◽  
Simple Lie Algebras ◽  
Link Invariants ◽  
Chern Simons ◽  
Knots And Links ◽  
Chern Simons Theory

We report on a study of the expectation values of Wilson loops in D=3 Chern-Simons theory. The general skein relations (of higher orders) are derived for these expectation values. We show that the skein relations for the Wilson loops carrying the fundamental representations of the simple Lie algebras SO(n) and Sp(n) are sufficient to determine invariants for all knots and links and that the resulting link invariants agree with Kauffman polynomials. The polynomial for an unknotted circle is identified to the formal characters of the fundamental representations of these Lie algebras.

scholarly journals Mimetic discretization of the Abelian Chern-Simons theory and link invariants

2013 ◽  
Vol 54 (12) ◽  
pp. 122302
Author(s):  
Cayetano Di Bartolo ◽  
Javier Grau ◽  
Lorenzo Leal
Keyword(s):  
Simons Theory ◽  
Link Invariants ◽  
Mimetic Discretization ◽  
Chern Simons ◽  
Chern Simons Theory
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