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**Harvard**

Ericsson, V. (2016) *Aspects of Spin 3 Bianchi Identities in 2 + 1 Dimensional Conformal Higher-Spin Theories *. Göteborg : Chalmers University of Technology

** BibTeX **

@mastersthesis{

Ericsson2016,

author={Ericsson, Vincent},

title={Aspects of Spin 3 Bianchi Identities in 2 + 1 Dimensional Conformal Higher-Spin Theories },

abstract={The higher spin theories in 2 + 1 dimensions considered in this thesis are of great
physical interest since they are an important part in our understanding of both string
theory, the AdS/CFT correspondance and M-theory. These conformal higher-spin
theories are introduced by obtaining a conformal basis to the spin-2 algebra so(2, 3).
This algebra neatly generalizes to the higher spin algebra, giving rise to a theory
containing fields of all spins. Looking at the projection of the vacuum equations
of motion, F = 0, and the Bianchi identities, DF = 0, onto the conformal basis,
the content of these equations is explored. Using the conformal spin-2 basis, the
curvature equations from 2+1 dimensional (conformal) general relativity is obtained
as a confirmation that the method used is correct. A similar projection onto the
conformal spin-3 basis is found and it is shown that assuming only the parabolic
part of F = 0 is enough to satisfy the Bianchi identity. Hence, the Bianchi identity
allows for coupling the system to matter.},

publisher={Institutionen för fysik (Chalmers), Chalmers tekniska högskola},

place={Göteborg},

year={2016},

keywords={higher-spin theory, conformal gravity, Chern-Simons, gauge theory},

note={87},

}

** RefWorks **

RT Generic

SR Electronic

ID 235404

A1 Ericsson, Vincent

T1 Aspects of Spin 3 Bianchi Identities in 2 + 1 Dimensional Conformal Higher-Spin Theories

YR 2016

AB The higher spin theories in 2 + 1 dimensions considered in this thesis are of great
physical interest since they are an important part in our understanding of both string
theory, the AdS/CFT correspondance and M-theory. These conformal higher-spin
theories are introduced by obtaining a conformal basis to the spin-2 algebra so(2, 3).
This algebra neatly generalizes to the higher spin algebra, giving rise to a theory
containing fields of all spins. Looking at the projection of the vacuum equations
of motion, F = 0, and the Bianchi identities, DF = 0, onto the conformal basis,
the content of these equations is explored. Using the conformal spin-2 basis, the
curvature equations from 2+1 dimensional (conformal) general relativity is obtained
as a confirmation that the method used is correct. A similar projection onto the
conformal spin-3 basis is found and it is shown that assuming only the parabolic
part of F = 0 is enough to satisfy the Bianchi identity. Hence, the Bianchi identity
allows for coupling the system to matter.

PB Institutionen för fysik (Chalmers), Chalmers tekniska högskola,

LA eng

LK http://publications.lib.chalmers.se/records/fulltext/235404/235404.pdf

OL 30