Strings, Conformal Fields, and M-Theory (Graduate Texts in Contemporary Physics) 2nd Edition by Michio Kaku (PDF)

Description

Building on the foundations laid in his Introduction to Superstrings and M Theory, Professor Kaku discusses such topics as the classification of conformal string theories, knot theory, the Yang-Baxter relation, quantum groups, and the insights into 11-dimensional strings recently obtained from M-theory. New chapters discuss such topics as Seiberg-Witten theory, M theory and duality, and D-branes. Throughout, the author conveys the vitality of the current research and places readers at its forefront. Several chapters reviewing the fundamentals of string theory, making the presentation of the material self-contained while keeping overlap with the earlier book to a minimum.

User’s Reviews

Editorial Reviews: Review From the reviews:”…because of its wide range in topics, it becomes extremely handy as a ‘reference manual’…Kaku’s book covers most of the ‘hot topics’ from the period 1985 through 1996 in a concise but still quite complete way, it fulfills this task in a superb way.” Physicalia”¿ A comprehensive survey of essentially all recent research undertaken in string theory and related fields¿ the author¿s ability to present such an enormous variety of material is astonishing, resulting in a book that is up-to-date and thorough.” Physics Today

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐A pedagogical, single volume, introduction to String Theory and M-theory which includes recent developments in the fields. Kaku makes it a point to present the important ideas in the beginning of each chapter and summarize them in the end, at times being overly repetitive. The organization is clear and self-consistent — a combination of a historical and a well-conceived hierarchical approach. While more readable than Polchinski and more up-to-date compared to Green, Shwartz and Witten, Kaku’s book seems to lack the elegance and clout of these standard texts. Includes useful appendix and index.

⭐Like all books of Michio Kaku, the book is written nicely and the topics included are indeed modern and up to date. In order to understand it, it is recommended that one has done a course on superstring theory, preferably on infinite-dimensional Lie algebras and supersymmetry too, and that one has read some material on conformal field theory (good books are by di Francesco et al. and Ketov). Kaku goes very quickly through the more fundamental subjects before going into more difficult matter, such as string field theory, phenomenology and M-theory.The book progresses fast beyond what might be known from basic graduate courses on superstring theory, but does not become too specific or detailed. It serves as a bridge to more advanced literature by providing somewhat more sophisticated knowledge than the average textbook (such as Polchinski).The book is not completely self-contained, but a list of references is given at the end of each chapter, so one can find its way through the bits and pieces that are necessary to understand before proceeding.So, in order to understand it, you need to read other books (e.g. first Zwiebach and then Polchinski or Green, Schwarz & Witten for more advanced topics and superstring theory). But in order to understand the literature, this book can be of assistance.

⭐This book covers alot of material but its a waste if you don’t buy other books to instruct you on formula use.

⭐I really enjoyed the presentation of this book. My impression is that it would not be the best book for a first exposure to the topic. That being said, its excellent once you’ve encountered the concepts elsewhere so that’s why I’m giving it 5 stars. Dr. Kaku has a gift for clear presentation that I haven’t seen in other texts, plus he adds additional physical insight. The only item to note is he assumes a certain level of sophistication has been attained by the reader. So you should read Zweibach or Becker first, then add this one to your reading list.

⭐For example: When proposing teleportation as an idea, he presents the quantum entanglement lab experiments that prove information between atoms can be transferred outside space-time faster than light speed. Then he proposes to use worm holes, which are warped space-time, instead of quantum entanglement. Sloppy. For consistency, he could have theorized the transfer of information through other dimensions.

⭐この本の目的は、弦理論の真空を得ることである。共形場理論、光円錐の弦の場の理論、行列理論、トポロジカルな場の理論、量子場と融合したモース理論とドラムコホモロジー、サイバーグ ウイッテン理論、M理論、AdS／CFT対応など、興味深い話題が散りばめられている。出版は2000年。第一部では弦理論の真空を共形場理論により分類する。我々の宇宙の物理を統一的に説明しようとする弦理論には摂動論の段階では真空がたくさんある。我々の宇宙はそれらの真空のうちのどれかであるはずだ。共形場理論はたくさんある真空を分類するための強力な方法である。共形場理論の分類には繰りこみ群フロー、結び目理論などが関与している。しかし、共形場理論の真空はいまだ標準模型を導くことができていない。第二部では、弦理論の非摂動論を紹介している。非摂動論により弦理論の真空と次元が決められるはずであるが、いくつかのアプローチがある。光円錐による弦の場の理論では開弦理論に閉弦も含まれるため重力場理論が必然的に理論に含まれることになる。トポロジカルな場の理論とマトリックスモデルは整合性をもつことが示される。純粋な数学理論と物理学の相補性には驚愕する。ドラムのコホモロジー理論によりベッチ数を求めることができるが、古典的モース理論ではベッチ数は不等式で与えられる。モース理論と量子場理論の関連よりベッチ数の不等式が示されるが、さらに超対称性を要求するとモース理論からベッチ数がもとめられる。これらの弦の場の理論では厳密解を得ることは困難であるが、双対性により、厳密解を得る可能性が高まる。双対性のもとでは、弦は基本的な要素ではなくなり、ソリトンのようなメンブレインと双対的になる。根源的な要素とは何かということが問題となる。11次元のM理論と 2A型超弦理論は双対的であり、５つの超弦理論が双対性のもとでまとめられる。更に、 2B型超弦理論と双対的である12次元のF理論が考えられている。最後にAdS／CFT対応について説明している。結語では「弦理論において一般相対性理論の等価原理に相当するのは何になるのだろうか」というウイッテンの言葉でしめくくっている。（更新；2014年6月16日）

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