Moonshine Beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics (超越怪物的月光:代數、模形式與物理的橋樑)

Gannon, Terry

  • 出版商: Cambridge
  • 出版日期: 2023-07-27
  • 售價: $2,290
  • 貴賓價: 9.5$2,176
  • 語言: 英文
  • 頁數: 492
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 1009401556
  • ISBN-13: 9781009401555
  • 相關分類: 物理學 Physics
  • 海外代購書籍(需單獨結帳)

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商品描述

Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions from classical number theory. The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras. Moonshine beyond the Monster describes the general theory of Moonshine and its underlying concepts, emphasising the interconnections between mathematics and mathematical physics. Written in a clear and pedagogical style, this book is ideal for graduate students and researchers working in areas such as conformal field theory, string theory, algebra, number theory, geometry and functional analysis. Containing more than 100 exercises, it is also a suitable textbook for graduate courses on Moonshine and as supplementary reading for courses on conformal field theory and string theory. Originally published in 2006, this title has been reissued as an Open Access publication on Cambridge Core.

商品描述(中文翻譯)

《超越怪物的月光》描述了怪物有限群和古典數論中的模形函數之間神秘聯繫的方式。這個理論已經發展成描述有限群、模形式和頂點算子代數之間的關係。《超越怪物的月光》描述了月光的一般理論和其基本概念,強調數學和數學物理之間的相互聯繫。這本書以清晰和教學風格撰寫,非常適合碩士研究生和從事共形場論、弦論、代數、數論、幾何和泛函分析等領域的研究人員。書中包含100多個練習題,也適合作為月光研究的碩士課程教材,以及共形場論和弦論課程的補充閱讀材料。該書最初於2006年出版,現已作為開放存取出版物在劍橋核心平台重新發行。