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Superconformal Structures of Supersymmetric Free Fermion Vertex Algebras : 초대칭 자유페르미온 꼭지점대수의 초등각대칭 구조
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- Authors
- Advisor
- 서의린
- Issue Date
- 2023
- Publisher
- 서울대학교 대학원
- Keywords
- Supersymmetric Vertex Algebras ; Superconformal Vertex Algebras ; Supersymmetric Free Fermion Vertex Algebras ; Superconformal Vectors
- Description
- 학위논문(석사) -- 서울대학교대학원 : 자연과학대학 수리과학부, 2023. 2. 서의린.
- Abstract
- In this paper, we define the shifted superconformal vector of supersymmetric charged free fermion vertex algebras, which is a 1-parameter deformation of the superconformal vector of the SUSY bc-βγ system. Moreover, we find the corresponding shifted N=2 superconformal symmetry of SUSY charged free fermion vertex algebras, by using the N=1 SUSY vertex algebra formalism. Finally, in order to describe the shifted N=2 superconformal symmetry of the SUSY charged free fermion vertex algebra by N=2 superfields, we construct an N=2 SUSY version of the bc-βγ system.
본 학위 논문에서는, 기존의 초대칭 bc-βγ 체계의 초등각대칭 벡터를 확장시킨 형태의 초대칭 자유페르미온 꼭지점대수의 N = 1 초등각대칭 벡터를 정의하고, 이와 함께 쌍을 이루는 N = 2 초등각대칭을 찾았다. 그리고 이 결과들을 NK = 2 초대칭 꼭지점대수의 언어를 사용하여 나타내었다.
- Language
- eng
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