Classification of solutions for self-dual Chern–Simons CP(1) model

2021 ◽  
Vol 62 (3) ◽  
pp. 031510
Author(s):  
Jann-Long Chern ◽  
Zhi-You Chen ◽  
Hung-Ying Shen
Keyword(s):  
Classification Of Solutions ◽  
Chern Simons

scholarly journals Characteristic cohomology and observables in higher spin gravity

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Alexey Sharapov ◽  
Evgeny Skvortsov
Keyword(s):  
Higher Spin Gravity ◽  
Complete Classification ◽  
Gravity Models ◽  
Simons Theory ◽  
Surface Charges ◽  
Higher Spin ◽  
Dynamical Invariants ◽  
Chern Simons ◽  
Conserved Currents

Abstract We give a complete classification of dynamical invariants in 3d and 4d Higher Spin Gravity models, with some comments on arbitrary d. These include holographic correlation functions, interaction vertices, on-shell actions, conserved currents, surface charges, and some others. Surprisingly, there are a good many conserved p-form currents with various p. The last fact, being in tension with ‘no nontrivial conserved currents in quantum gravity’ and similar statements, gives an indication of hidden integrability of the models. Our results rely on a systematic computation of Hochschild, cyclic, and Chevalley-Eilenberg cohomology for the corresponding higher spin algebras. A new invariant in Chern-Simons theory with the Weyl algebra as gauge algebra is also presented.

scholarly journals A classification of semilocal vortices in a Chern–Simons theory

2016 ◽  
Vol 33 (2) ◽  
pp. 575-595
Author(s):  
Jann-Long Chern ◽  
Zhi-You Chen ◽  
Sze-Guang Yang
Keyword(s):  
Simons Theory ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals Classification of solutions of an equation related to a conformal log Sobolev inequality

2020 ◽  
Vol 375 ◽  
pp. 107395
Author(s):  
Rupert L. Frank ◽  
Tobias König ◽  
Hanli Tang
Keyword(s):  
Sobolev Inequality ◽  
Classification Of Solutions

Classification of solutions for gauge fields on group manifolds

1987 ◽  
Vol 20 (1) ◽  
pp. 59-67 ◽  
Author(s):  
C Abecasis ◽  
A Foussats ◽  
R Laura ◽  
O Zandron
Keyword(s):  
Gauge Fields ◽  
Classification Of Solutions
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