M-theory Perspectives on Codimension-2 Defects
2016135 pages
Thesis: PhD - Osaka U.
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Abstract:
In this thesis, we investigate a codimension-two defect in the supersymmetric gauge theory. The codimension-two defect is a sort of a non-local operator which has significant role to disclose various aspects in quantum field theory. The characters of this class of non-local defects are not largely uncovered in spite of many efforts to address this object. On the other hand, it has been developed that a wide variety of supersymmetric gauge theories can be descended from the six-dimensional superconformal field theory that is engineered by M-theory. The six-dimensional theory of our interest contains a self-dual string as a physical object. The specific model of the self-dual string was recently proposed as Mstrings as an attempt to directly measure physical spectra in the six-dimensional theory. We mainly explore the origin of the codimension-two defect in the standpoint of M-strings and propose that such a defect can be appropriately constructed by introducing an extra M5-brane intersected with the original M5-branes in which M-strings reside. We provide strong supports for our formation of the defect by evaluating its contribution using the exact calculation scheme called the topological vertex and the elliptic genus.- defect: topological
- membrane model
- M-theory
- p-brane: 2
- p-brane: 5
- Klebanov-Strassler model
- flux: electric
- orbifold
- dimension: 6
- gauge field theory: supersymmetry
References(143)
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