D-Brane Superstrings and New Perspective of Our World

Superstring theory is a promising theory which can potentially unify all the forces and the matters in particle physics. A new multi-dimensional object which is called "D-brane" was found. It drastically changed our perspective of a unified world. We

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Koji Hashimoto

D-Brane Superstrings and New Perspective of Our World

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Dr. Koji Hashimoto RIKEN Mathematical Physics Lab. Hirosawa 2-1 351-0198 Saitama Wako Japan [email protected]

The Original Japanese version was published by University of Tokyo Press, Japan, 2006. Translated by Haruko Hashimoto and Koji Hashimoto. ISBN 978-3-642-23573-3 e-ISBN 978-3-642-23574-0 DOI 10.1007/978-3-642-23574-0 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2011944016 c Springer-Verlag Berlin Heidelberg 2012  This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

To Haruko and to my parents



Preface

This book is dedicated for explaining and introducing “D-branes,” a new concept on which theoretical developments in superstring theory in the past decade are all based on, with brief words and equations. The original version of this book was written in Japanese, and published by Tokyo University Press in 2006. I hope you enjoy surprising and intriguing novel perspective of our world which is shown by frontier of researches on elementary particle physics, cosmology and superstring theory which may unify all matters and forces of our world. D-branes, or in general “branes,” are membranes in higher-dimensional spaces, in mathematical physics. Once we apply this notion of “branes” to various physics, such as elementary particle physics and cosmology, we reach surprising change of our perspective on our world: we may live on 3-dimensional membranes in higher-dimensional space. This scenario is called “braneworld,” and not a scientific fantasy. In fact, every day and night, quite a number of particle physicists and cosmologists all over the world investigate this fascinating possibility of “living on hypersurfaces.” Why is this fascinating? It is not because the hypothesis is novel as a sci-fi, but because it is a logical consequence of superstring theory, a candidate theory unifying all forces and matters. And the hypothesis has a scientific possibility of resolving long-standing problems in particle physics, cosmology and gravity. This book is written for undergraduates who are interested in particle physics, su