AdS/CFT correspondence from the supergravity point of view /
In this dissertation we explore various supergravity aspects of the AdS/CFT duality. According to this correspondence, string/M theory on AdSd+1 is dual to a CFT[d] on its boundary. Taking the supergravity limit of the string/M theory one can do perturbative calculations in the bulk which gives info...
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| Format: | Thesis Book |
| Language: | English |
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[Place of publication not identified] :
[publisher not identified] ;
2001.
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| Subjects: | |
| Online Access: | http://proxy.library.tamu.edu/login?url=http://proquest.umi.com/pqdweb?did=725911731&sid=1&Fmt=2&clientId=2945&RQT=309&VName=PQD |
| Summary: | In this dissertation we explore various supergravity aspects of the AdS/CFT duality. According to this correspondence, string/M theory on AdSd+1 is dual to a CFT[d] on its boundary. Taking the supergravity limit of the string/M theory one can do perturbative calculations in the bulk which gives information about strongly coupled CFT's. In Chapter I we review the AdS/CFT correspondence. In Chapter II the complete spectrum of D=6, N=4b supergravity with n tensor multiplets compactified on AdS₃x S₃ is determined. The spectrum contains more than one tower of supermultiplets. In Chapter III we couple n copies of N=(2,0) scalar multiplets to a gauged N=(2,0) supergravity in 2+1 dimensions which admits AdS₃ as a vacuum. The scalar fields are charged under the R-symmetry group U(1) and parametrize certain Kahler manifolds with compact or non-compact isometries. We also find black string solutions of our model. In Chapter IV the boundary behaviour of this model is examined. It is shown that regular and irregular boundary conditions can be imposed on the matter fields depending on the size of the sigma model manifold. It is also shown that the super AdS transformations in the bulk produce the transformations of the N=(2,0) conformal supergravity and scalar multiplets on the boundary, containing fields with nonvanishing Weyl weights. In Chapter V we try to clarify the complementarity of the Randall-Sundrum model and the AdS/CFT duality. This is achieved by adding a term proportional to the area of the boundary to the usual AdS gravity action. The boundary conditions now follow from the field equations, which are obtained by letting the induced metric vary on the boundary. This approach gives similar modes that are obtained by Randall and Sundrum. The same calculation is carried for a massless scalar field in the bulk, and it is shown that the first order corrections to the propagators agree in both pictures. In Chapter VI some open problems are discussed. |
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| Item Description: | Vita. "Major Subject: Physics". |
| Physical Description: | ix, 130 leaves ; 28 cm. Issued also on microfiche from University Microfilm Inc. |
| Bibliography: | Includes bibliographical references (leaves 117-129). |