scholarly journals Higher dimensional abelian Chern-Simons theories and their link invariants

2013 ◽  
Vol 54 (2) ◽  
pp. 022305 ◽  
Author(s):  
L. Gallot ◽  
E. Pilon ◽  
F. Thuillier
Keyword(s):  
Link Invariants ◽  
Higher Dimensional ◽  
Chern Simons

scholarly journals ALL LINK INVARIANTS FOR TWO DIMENSIONAL SOLUTIONS OF YANG–BAXTER EQUATION AND DRESSINGS

2006 ◽  
Vol 15 (10) ◽  
pp. 1279-1301
Author(s):  
N. AIZAWA ◽  
M. HARADA ◽  
M. KAWAGUCHI ◽  
E. OTSUKI
Keyword(s):  
Jones Polynomial ◽  
Alexander Polynomial ◽  
Baxter Equation ◽  
Two Dimensional ◽  
Link Invariant ◽  
Three Solutions ◽  
Polynomial Invariants ◽  
Link Invariants ◽  
Higher Dimensional

All polynomial invariants of links for two dimensional solutions of Yang–Baxter equation is constructed by employing Turaev's method. As a consequence, it is proved that the best invariant so constructed is the Jones polynomial and there exist three solutions connecting to the Alexander polynomial. Invariants for higher dimensional solutions, obtained by the so-called dressings, are also investigated. It is observed that the dressings do not improve link invariant unless some restrictions are put on dressed solutions.

scholarly journals The dynamical structure of higher dimensional Chern-Simons theory

1996 ◽  
Vol 476 (3) ◽  
pp. 611-635 ◽  
Author(s):  
Máximo Bañados ◽  
Luis J. Garay ◽  
Marc Henneaux
Keyword(s):  
Simons Theory ◽  
Dynamical Structure ◽  
Higher Dimensional ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals EMBEDDING FRACTIONAL QUANTUM HALL SOLITONS IN M-THEORY COMPACTIFICATIONS

2011 ◽  
Vol 08 (07) ◽  
pp. 1507-1518 ◽  
Author(s):  
A. BELHAJ ◽  
N.-E. FAHSSI ◽  
E. H. SAIDI ◽  
A. SEGUI
Keyword(s):  
Quantum Hall ◽  
Target Space ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Hirzebruch Surfaces ◽  
Dynkin Diagrams ◽  
Higher Dimensional ◽  
Dynkin Quivers ◽  
M Theory ◽  
Chern Simons

We engineer U(1)n Chern–Simons type theories describing fractional quantum Hall solitons (QHS) in 1 + 2 dimensions from M-theory compactified on eight-dimensional hyper-Kähler manifolds as target space of N = 4 sigma model. Based on M-theory/type IIA duality, the systems can be modeled by considering D6-branes wrapping intersecting Hirzebruch surfaces F0's arranged as ADE Dynkin Diagrams and interacting with higher-dimensional R-R gauge fields. In the case of finite Dynkin quivers, we recover well known values of the filling factor observed experimentally including Laughlin, Haldane and Jain series.

scholarly journals Higher dimensional Chern-Simons supergravity

1996 ◽  
Vol 54 (4) ◽  
pp. 2605-2611 ◽  
Author(s):  
Máximo Bañados ◽  
Ricardo Troncoso ◽  
Jorge Zanelli
Keyword(s):  
Higher Dimensional ◽  
Chern Simons
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