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dc.contributor.advisor안창림-
dc.contributor.author민경진-
dc.creator민경진-
dc.date.accessioned2016-08-25T10:08:47Z-
dc.date.available2016-08-25T10:08:47Z-
dc.date.issued2009-
dc.identifier.otherOAK-000000051889-
dc.identifier.urihttps://dspace.ewha.ac.kr/handle/2015.oak/184508-
dc.identifier.urihttp://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000051889-
dc.description.abstractSince Maldacena's conjecture for the AdS/CFT duality has been introduced, there have been various attempts to verify the AdS/CFT duality. However, we have a problem to show the AdS/CFT duality because string theory and conformal field theory are described in the different range of λ. To solve this problem, scientists have made an effort to find solutions all λ in the conformal field theory side by S-matrix and Bethe ansatz equation. In this thesis, we discuss AdS/CFT duality on AdS_(5)×S^(5), starting with basic concept of string theory and conformal field theory. We examine carefully what is he difficulties to test AdS/CFT duality. We also review classical string theory on AdS_(5)×S^(5) and spin chain of N=4 super Yang-Mill Theory. Mainly we discuss about S-matrix of elementary magnon state and magnon bound state with Bethe ansatz equation and dispersion relation to show AdS/CFT duality.;끈이론과 등각장론이 일치한다는 게이지/중력 이중성에 대한 말다세나의 추측(Maldacena’s Conjecture) 이후, 게이지/중력 이중성을 증명하기 위한 많은 시도가 있었다. 그러나 다른 λ범위에서 기술되는 끈이론과 등각장론 때문에 게이지/중력 이중성을 증명하는 것에는 문제가 있다. 이 문제를 해결하기 위해 등각장론 분야에서 산란행렬(S-matrix)와 베테안사츠 방정식(Bethe ansatz equation)을 이용하여 모든λ에 대한 답을 찾기 위해 노력해왔다. 우리는 이 논문에서 AdS_(5)×S^(5)공간 위에서의 게이지/중력이중성에 대해 토론한다. 우선 끈이론과 등각장론의 기본개념 설명을 하고 게이지/중력 이중성을 증명할 때 생기는 어려움이 무엇인지 진단할 것이다. 또한 AdS_(5)×S^(5) 공간 위에서의 고전 끈이론과 N=4 슈퍼 양-밀 이론(Super Yang-Mill)을 복습한다. 게이지/중력 이중성을 보이기 위해 기본 마그논 상태(elementary magnon state)와 속박 마그논 상태(magnon bound state)에 대한 산란행렬을 베테안사츠 방정식과 분산관계(dispersion relation)와 함께 토론한다.-
dc.description.tableofcontentsI. Introduction = 1 I.A. Overview = 2 I.B. AdS5×S5(5D Anti De Sitter Space × 5D Sphere) = 3 I.C. Conformal Field Theory = 4 I.D. N=4 Super Yang-Mill Theory = 5 II. How to test AdS/CFT duality = 7 II.A. λ in String Theory = 7 II.B. λ in Super Yang-Mill Theory = 7 II.B.1. Large N and small λ = 7 II.B.2. Anomalous Dimension = 10 II.C. Di±culty to test the AdS/CFT Duality and E??orts to Obtain Energy Spectrum for all λ = 11 III. Classical String Theory = 13 III.A. Classical String Sigma model on the AdS_(5)×S^(5) spacetime = 13 III.A.1. Generalized String Ansatz = 13 III.A.2. Noether Charge = 15 III.B. Neumann Rosochatius System = 16 III.C. Rotating String = 17 III.C.1. Rotating string in S^(5) = 17 III.C.2. Rotating string in AdS5 × S^(5) = 17 III.C.3. Constant Radii Solution = 19 III.D. String Sigma Model on R×S³ = 20 III.E. String Solution in the Hofman and Maldacena limit = 21 III.E.1. Giant magnon = 21 III.E.2. Dyonic giant magnon = 23 IV. S-matrix and Bethe Ansatz Equation = 25 IV.A. One loop SU(2) Spin Chain = 25 IV.A.1. One magnon state = 26 IV.A.2. Two magnon state = 26 IV.B. SU(2j2) S-matrix of Elementary Magnon State = 28 IV.B.1. Asymptotic State = 28 IV.B.2. Algebra = 29 IV.B.3. Representation = 29 IV.B.4. S-matrix of elementary magnon state = 32 IV.C. S-matrix of Magnon Bound State = 33 IV.C.1. Magnon bound state = 33 IV.C.2. Scattering on one particle via two-particle bound state = 34 IV.D. All loop Bethe Ansatz Equation from S-Matrix and Anomalous Dimension = 42 IV.E. Dispersion Relation = 43 IV.F. Comparison String Energy with Anomalous Dimension = 44 V. Conclusion = 46 References = 47 국문초록 = 50 Acknowledgements = 51-
dc.formatapplication/pdf-
dc.format.extent711599 bytes-
dc.languageeng-
dc.publisher이화여자대학교 대학원-
dc.titleS-matrix Approach to AdS/CFT duality on AdS_(5)×S^(5)-
dc.typeMaster's Thesis-
dc.format.pageⅴ, 51 p.-
dc.identifier.thesisdegreeMaster-
dc.identifier.major대학원 물리학과-
dc.date.awarded2009. 2-
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