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

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dc.contributor.authorEricsson, Vincent
dc.contributor.departmentChalmers tekniska högskola / Institutionen för fysik (Chalmers)sv
dc.contributor.departmentChalmers University of Technology / Department of Physics (Chalmers)en
dc.date.accessioned2019-07-03T13:53:01Z
dc.date.available2019-07-03T13:53:01Z
dc.date.issued2016
dc.description.abstractThe 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.
dc.identifier.urihttps://hdl.handle.net/20.500.12380/235404
dc.language.isoeng
dc.setspec.uppsokPhysicsChemistryMaths
dc.subjectEnergi
dc.subjectInformations- och kommunikationsteknik
dc.subjectMaterialvetenskap
dc.subjectGrundläggande vetenskaper
dc.subjectFysik
dc.subjectEnergy
dc.subjectInformation & Communication Technology
dc.subjectMaterials Science
dc.subjectBasic Sciences
dc.subjectPhysical Sciences
dc.titleAspects of Spin 3 Bianchi Identities in 2 + 1 Dimensional Conformal Higher-Spin Theories
dc.type.degreeExamensarbete för masterexamensv
dc.type.degreeMaster Thesisen
dc.type.uppsokH
local.programmePhysics and astronomy (MPPAS), MSc
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