An Intro 2 String Theory & D-Brane Dynamics 2nd Ed-2011--Szabo + Problems & Solutions-p159.pdf

This page intentionally left blankThis page intentionally left blankImperial College PressICPAn Introduction toRichard J SzaboHeriot-Watt University, UKWith Problems and SolutionsString Theory andD-Brane Dynamics2nd EditionBritish Library Cataloguing-in-Publication DataA catalogue record for this book is available from the British byImperial College Press57 Shelton StreetCovent GardenLondon WC2H 9HEDistributed byWorld Scientific Publishing Co. Pte. Toh Tuck Link, Singapore 596224USA office 27 Warren Street, Suite 401-402, Hackensack, NJ 07601UK office 57 Shelton Street, Covent Garden, London WC2H 9HEPrinted in photocopying of material in this volume, please pay a copying fee through the CopyrightClearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission tophotocopy is not required from the -13978-1-84816-622-6ISBN-101-84816-622-2All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means,electronic or mechanical, including photocopying, recording or any information storage and retrievalsystem now known or to be invented, without written permission from the ? 2011 by Imperial College PressAN INTRODUCTION TO STRING THEORY AND D-BRANE DYNAMICS(2nd Edition)With Problems and SolutionsTo my Dad, for a good long readThis page intentionally left blankThis page intentionally left blankPreface to Second EditionThe second edition of this book has improved in two main ways. Firstly,a few minor typos which plagued the ?rst edition have been , and most notably, an extra chapter at the end has been addedwith detailed solutions to all exercises that appear in the main part of thetext. These exercises are meant both to ?ll in some gaps in the main text,and also to provide the student reader with the putationalskills required in the ?eld. The inclusion of this extra chapter of solutionsshould help make this second