S-Space College of Natural Sciences (자연과학대학) Dept. of Physics and Astronomy (물리·천문학부) Physics (물리학전공) Theses and dissertations (학위논문_물리학전공)
Some aspects of topological solitons in supersymmetric gauge theories
초대칭 게이지 이론의 위상수학적 쏠리톤 해에 관한 연구
- Issue Date
- 서울대학교 대학원
- 초대칭성; supersymmetry; 게이지 이론; gauge theory; dyonic instanton; dyonic instanton; D-brane; D-brane; supertube; supertube; BPS 한계; BPS bound; 천-사이몬즈 이론; Chern-Simons theory; vortex; vortex
- Thesis(doctors)--서울대학교 대학원 :물리학부,2008.8.
- Classical and quantum physics of some topological solitons in supersymmetric gauge theories are investigated. When the supersymmetry algebra is centrally extended, there exists a lower bound (BPS bound) in the mass spectrum given by the central charge. BPS solitons saturate this bound. Dyonic instanton is a BPS soliton in 5-dimensional supersymmetric Yang-Mills theories. We study Higgs field configurations of dyonic instantons in spontaneously broken 5-dimensional $SU(2)$ Yang-Mills theory, and find the D-brane interpretation of such configurations as supretubes stretching between two parallel D4-branes. Then, we turn our eyes to BPS vortices in 3-dimensional $\N=2$ supersymmetric (abelian) Chern-Simons-Higgs theory, to study the quantum status of the BPS bound. It is shown explicitly that the saturation of the BPS bound remains to hold at the one-loop level.
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