Topics on dimensional reduction : solutions and consistency /
We exploit the dimensional reduction ideas to interpret several solutions of low dimensional effective theories from the viewpoint of string theory and M-theory. We report that a rectangular three-dimensional lattice of intersecting domain walls in D=4 dimensions, with arbitrary spacing, emerges nat...
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| Format: | Thesis Book |
| Language: | English |
| Published: |
[Place of publication not identified] :
[publisher not identified] ;
2000.
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| Subjects: | |
| Online Access: | http://proxy.library.tamu.edu/login?url=http://proquest.umi.com/pqdweb?did=731980931&sid=1&Fmt=2&clientId=2945&RQT=309&VName=PQD |
| Summary: | We exploit the dimensional reduction ideas to interpret several solutions of low dimensional effective theories from the viewpoint of string theory and M-theory. We report that a rectangular three-dimensional lattice of intersecting domain walls in D=4 dimensions, with arbitrary spacing, emerges naturally as a classical solution of M-theory. We also construct the non-linear Kaluza-Klein ansatze describing the embeddings of the U(1)³, U(1)⁴ and U(1)² truncations of D=5, D=4 and D=7 gauged supergravities into the type IIB string and M-theory. We use these general ansatze to embed and interpret the charged AdS₅, AdS₄ and AdS₇ black hole solutions in ten and eleven dimensions. We then elaborate on the consistent truncation of Kaluza-Klein theories to their massless sector while retaining the full gauge symmetry associated with the isometry group G of the internal manifold M. We derive and test in general a consistency condition for Kaluza-Klein dimensional reduction for any Einstein space M that is constructed as a U(1) bundle over a product of complex projective base spaces. |
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| Item Description: | Vita. "Major Subject: Physics". |
| Physical Description: | vii, 124 leaves ; 28 cm. Issued also on microfiche from University Microfilm Inc. |
| Bibliography: | Includes bibliographical references (leaves 100-110). |