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Some Applications of Superspace

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dc.contributor.advisor Siegel, Warren en_US
dc.contributor.author Ju, Chia-Yi en_US
dc.contributor.other Department of Physics en_US
dc.date.accessioned 2017-09-20T16:50:52Z
dc.date.available 2017-09-20T16:50:52Z
dc.date.issued 2016-12-01 en_US
dc.identifier.uri http://hdl.handle.net/11401/76645 en_US
dc.description 99 pg. en_US
dc.description.abstract Supersymmetry is a very popular topic in recent high energy physics theories. Especially, in order to make sense of string theory, we have to impose supersymmetry. Superspace method is proven to be a very useful approach to supersymmetric theories by treating supersymme- try as part of the geometry. In this dissertation, we use superspace method to investigate superconformal field theory and string/brane theory. The first part of the dissertation, we rewrite semi-shortening con- ditions using superspace approach. The rewritten expression is co- variant under superconformal transformation. We found that all the known semi-shortening condition are part of the covariantized ones and can be generalized to weaker shortening conditions. We also give an example how one can find other constraints from the known ones, particularly in N = 4 SYM in projective superspace. The second part is focused on “F-theory†, a theory that has man- ifestly U-duality. It can be reduced to M-theory, manifestly T-dual version string theory, and ordinary string theory. The theory is for- mulated on coset space G/H where G is the U-duality group and H is the unbroken symmetry group. We modified coset space formalism to find a general algebra for the symmetry currents. And we give an explicit example on 10 dimensional F-theory which can reduce to 3D string theory. en_US
dc.description.sponsorship This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree. en_US
dc.format Monograph en_US
dc.format.medium Electronic Resource en_US
dc.language.iso en_US en_US
dc.publisher The Graduate School, Stony Brook University: Stony Brook, NY. en_US
dc.subject.lcsh Physics en_US
dc.subject.other F-theory, String Theory, Superconformal, Superspace, Supersymmetry en_US
dc.title Some Applications of Superspace en_US
dc.type Dissertation en_US
dc.mimetype Application/PDF en_US
dc.contributor.committeemember Tsybychev, Dmitri en_US
dc.contributor.committeemember Herzog, Christopher en_US
dc.contributor.committeemember Khuri, Marcus. en_US

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