Perturbative study of concentric 5-branes in plane-wave matrix model and development of mathematical formalism for wigner j-symbols
Expansion and computation of quantities around various (k x N) x (k x N) vacuua in BMN theory results in introduction of Matrix spherical harmonics and various traces of their products. In this thesis the formalism to deal with these harmonics is developed and a few bosonic diagrams that arise i...
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University of British Columbia
2011
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| Online Access: | http://hdl.handle.net/2429/32059 |
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ndltd-UBC-oai-circle.library.ubc.ca-2429-320592018-01-05T17:46:24Z Perturbative study of concentric 5-branes in plane-wave matrix model and development of mathematical formalism for wigner j-symbols Mohazab, Ali Reza Expansion and computation of quantities around various (k x N) x (k x N) vacuua in BMN theory results in introduction of Matrix spherical harmonics and various traces of their products. In this thesis the formalism to deal with these harmonics is developed and a few bosonic diagrams that arise in computation of Tr(XªXª) are computed as an example. It is then seen that the large N limit is dominated by a planar subclass of these diagrams with a particular topology. This suggests a stronger constraint than that of 't Hooft. Science, Faculty of Physics and Astronomy, Department of Graduate 2011-03-04T03:45:18Z 2011-03-04T03:45:18Z 2007 Text Thesis/Dissertation http://hdl.handle.net/2429/32059 eng For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. University of British Columbia |
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NDLTD |
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English |
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NDLTD |
| description |
Expansion and computation of quantities around various (k x N) x (k x N)
vacuua in BMN theory results in introduction of Matrix spherical harmonics
and various traces of their products. In this thesis the formalism to deal
with these harmonics is developed and a few bosonic diagrams that arise
in computation of Tr(XªXª) are computed as an example. It is then seen
that the large N limit is dominated by a planar subclass of these diagrams
with a particular topology. This suggests a stronger constraint than that of
't Hooft. === Science, Faculty of === Physics and Astronomy, Department of === Graduate |
| author |
Mohazab, Ali Reza |
| spellingShingle |
Mohazab, Ali Reza Perturbative study of concentric 5-branes in plane-wave matrix model and development of mathematical formalism for wigner j-symbols |
| author_facet |
Mohazab, Ali Reza |
| author_sort |
Mohazab, Ali Reza |
| title |
Perturbative study of concentric 5-branes in plane-wave matrix model and development of mathematical formalism for wigner j-symbols |
| title_short |
Perturbative study of concentric 5-branes in plane-wave matrix model and development of mathematical formalism for wigner j-symbols |
| title_full |
Perturbative study of concentric 5-branes in plane-wave matrix model and development of mathematical formalism for wigner j-symbols |
| title_fullStr |
Perturbative study of concentric 5-branes in plane-wave matrix model and development of mathematical formalism for wigner j-symbols |
| title_full_unstemmed |
Perturbative study of concentric 5-branes in plane-wave matrix model and development of mathematical formalism for wigner j-symbols |
| title_sort |
perturbative study of concentric 5-branes in plane-wave matrix model and development of mathematical formalism for wigner j-symbols |
| publisher |
University of British Columbia |
| publishDate |
2011 |
| url |
http://hdl.handle.net/2429/32059 |
| work_keys_str_mv |
AT mohazabalireza perturbativestudyofconcentric5branesinplanewavematrixmodelanddevelopmentofmathematicalformalismforwignerjsymbols |
| _version_ |
1718594631078248448 |