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Strings, branes and extra dimensions. (English) Zbl 1047.81061

Summary: This review is devoted to strings and branes. First, perturbative string theory is introduced. The appearance of various types of branes is discussed. These include orbifold fixed planes, D-branes and orientifold planes. The connection to BPS vacua of supergravity is presented afterwards. As applications, we outline the role of branes in string dualities, field theory dualities, the AdS/CFT correspondence and scenarios where the string scale is at a TeV. Some issues of warped compactifications are also addressed. These comprise corrections to gravitational interactions as well as the cosmological constant problem.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81-02 Research exposition (monographs, survey articles) pertaining to quantum theory
83E15 Kaluza-Klein and other higher-dimensional theories
83E30 String and superstring theories in gravitational theory
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