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dc.contributor.advisorSzabo, Professor Richard J.
dc.contributor.authorDeBellis, Joshua
dc.date.accessioned2015-05-22T10:48:16Z
dc.date.available2015-05-22T10:48:16Z
dc.date.issued2013-11
dc.identifier.urihttp://hdl.handle.net/10399/2798
dc.description.abstractIn this thesis we study the BPS spectrum and vacuum moduli spaces of membrane matrix models derived from dimensional reduction of the BLG and ABJM M2- brane theories. We explain how these reduced models may be mapped into each other, and describe their relationship with the IKKT matrix model. We construct BPS solutions to the reduced BLG model, and interpret them as quantized Nambu- Poisson manifolds. We study the problem of topologically twisting the reduced ABJM model, and along the way construct a new twist of the IKKT matrix model. We construct a cohomological matrix model whose partition function localizes onto the BPS moduli space of the ABJM matrix model. This partition function computes an equivariant index enumerating framed BPS states with specified R-charges.en_US
dc.language.isoenen_US
dc.publisherHeriot-Watt Universityen_US
dc.publisherMathematical and Computer Sciencesen_US
dc.rightsAll items in ROS are protected by the Creative Commons copyright license (http://creativecommons.org/licenses/by-nc-nd/2.5/scotland/), with some rights reserved.
dc.titleMembrane matrix models and 3-algebrasen_US
dc.typeThesisen_US


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