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ABJM Scattering Amplitudes & Duality Test in Higher-Dimensional SCFTs
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- Authors
- Advisor
- 이상민
- Major
- 자연과학대학 물리·천문학부
- Issue Date
- 2018-02
- Publisher
- 서울대학교 대학원
- Keywords
- ABJM ; Scattering amplitude ; Instanton ; D-brane ; Index
- Description
- 학위논문 (박사)-- 서울대학교 대학원 : 자연과학대학 물리·천문학부, 2018. 2. 이상민.
- Abstract
- This dissertation consists of two parts. In the first part, I discuss about ABJM scattering amplitudes. I develop a new gauge choice for the orthogonal Grassmannian formulation of ABJM amplitudes called u-gauge. Using the u- gauge choice, I compute 8-point ABJM amplitude for a first time. I also derive an ABJM soft theorem via the recursion relation for ABJM amplitudes. In the second part, I study UV dualities between higher-dimensional SCFTs by com- paring their supersymmetric indices. More concretely, I focus on the UV duality between 5d N = 1 SU(3) with Nf = 10 fundamental hypermultiplets and 5d N = 1 Sp(2) gauge theory with same number of hypermultiplets. Furthermore, I study the index of their conjectured UV SCFT which is 6d N = (1, 0) SCFT on a circle with Sp(1) gauge symmetry and Nf = 10 fundamental hypermulti- plets. Instantons play an important role in the duality, and string theory gives a nice way of the ADHM construction for the super-Yang-Mills theories.
- Language
- English
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