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Superconformal Structures of Supersymmetric Free Fermion Vertex Algebras : 초대칭 자유페르미온 꼭지점대수의 초등각대칭 구조
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | 서의린 | - |
dc.contributor.author | 윤상원 | - |
dc.date.accessioned | 2023-06-29T02:35:54Z | - |
dc.date.available | 2023-06-29T02:35:54Z | - |
dc.date.issued | 2023 | - |
dc.identifier.other | 000000177115 | - |
dc.identifier.uri | https://hdl.handle.net/10371/194359 | - |
dc.identifier.uri | https://dcollection.snu.ac.kr/common/orgView/000000177115 | ko_KR |
dc.description | 학위논문(석사) -- 서울대학교대학원 : 자연과학대학 수리과학부, 2023. 2. 서의린. | - |
dc.description.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. | - |
dc.description.abstract | 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. | - |
dc.description.tableofcontents | 1 Introduction 1
2 Vertex algebras and SUSY vertex algebras 3 2.1 Vertex algebras 3 2.2 SUSY vertex algebras 6 3 Superconformal vertex algebras 12 4 Superconformal structures of SUSY charged free fermion vertex algebras 15 4.1 Standard superconformal vectors of SUSY charged free fermion vertex algebras 15 4.2 Shifted superconformal vectors of SUSY charged free fermion vertex algebras 19 4.3 Shifted N=2 superconformal structures of SUSY charged free fermion vertex algebras 26 Appendix A Calculations of lambda brackets 37 Appendix B Charge decomposition 40 Bibliography 43 Abstract (in Korean) 45 | - |
dc.format.extent | ii, 45 | - |
dc.language.iso | eng | - |
dc.publisher | 서울대학교 대학원 | - |
dc.subject | Supersymmetric Vertex Algebras | - |
dc.subject | Superconformal Vertex Algebras | - |
dc.subject | Supersymmetric Free Fermion Vertex Algebras | - |
dc.subject | Superconformal Vectors | - |
dc.subject.ddc | 510 | - |
dc.title | Superconformal Structures of Supersymmetric Free Fermion Vertex Algebras | - |
dc.title.alternative | 초대칭 자유페르미온 꼭지점대수의 초등각대칭 구조 | - |
dc.type | Thesis | - |
dc.type | Dissertation | - |
dc.contributor.AlternativeAuthor | Sangwon Yoon | - |
dc.contributor.department | 자연과학대학 수리과학부 | - |
dc.description.degree | 석사 | - |
dc.date.awarded | 2023-02 | - |
dc.contributor.major | mathematical physics | - |
dc.identifier.uci | I804:11032-000000177115 | - |
dc.identifier.holdings | 000000000049▲000000000056▲000000177115▲ | - |
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