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Modular Forms and String Duality

2008 Mathematics
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Release : 2008
Genre : Mathematics
Kind : eBook
Book Rating : 849/5 ( reviews)

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Book Synopsis Modular Forms and String Duality by : Noriko Yui

Download or read book Modular Forms and String Duality written by Noriko Yui. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a testimony to the BIRS Workshop, and it covers a wide range of topics at the interface of number theory and string theory, with special emphasis on modular forms and string duality. They include the recent advances as well as introductory expositions on various aspects of modular forms, motives, differential equations, conformal field theory, topological strings and Gromov-Witten invariants, mirror symmetry, and homological mirror symmetry. The contributions are roughly divided into three categories: arithmetic and modular forms, geometric and differential equations, and physics and string theory. The book is suitable for researchers working at the interface of number theory and string theory."--BOOK JACKET.

Modular Forms and String Duality

Duality (Mathematics)
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Genre : Duality (Mathematics)
Kind : eBook
Book Rating : 577/5 ( reviews)

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Book Synopsis Modular Forms and String Duality by : Noriko Yui, Helena Verrill, and Charles F. Doran

Download or read book Modular Forms and String Duality written by Noriko Yui, Helena Verrill, and Charles F. Doran. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: "This book is a testimony to the BIRS Workshop, and it covers a wide range of topics at the interface of number theory and string theory, with special emphasis on modular forms and string duality. They include the recent advances as well as introductory expositions on various aspects of modular forms, motives, differential equations, conformal field theory, topological strings and Gromov-Witten invariants, mirror symmetry, and homological mirror symmetry. The contributions are roughly divided into three categories: arithmetic and modular forms, geometric and differential equations, and physics and string theory. The book is suitable for researchers working at the interface of number theory and string theory."--BOOK JACKET.

String Duality and Modular Forms

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Book Synopsis String Duality and Modular Forms by : Toshiya Kawai

Download or read book String Duality and Modular Forms written by Toshiya Kawai. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

Automorphic Forms and Mock Modular Forms in String Theory

2017
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Release : 2017
Genre :
Kind : eBook
Book Rating : 640/5 ( reviews)

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Book Synopsis Automorphic Forms and Mock Modular Forms in String Theory by : Caner Nazaroglu

Download or read book Automorphic Forms and Mock Modular Forms in String Theory written by Caner Nazaroglu. This book was released on 2017. Available in PDF, EPUB and Kindle. Book excerpt: We study a variety of modular invariant objects in relation to string theory. First, we focus on Jacobi forms over generic rank lattices and Siegel forms that appear in N = 2, D = 4 compactifications of heterotic string with Wilson lines. Constraints from low energy spectrum and modularity are employed to deduce the relevant supersymmetric partition functions entirely. This procedure is applied on models that lead to Jacobi forms of index 3, 4, 5 as well as Jacobi forms over root lattices A2 and A3. These computations are then checked against an explicit orbifold model which can be Higgsed to the models under question. Models with a single Wilson line are then studied in detail with their relation to paramodular group Gammam as T-duality group made explicit. These results on the heterotic string side are then turned into predictions for geometric invariants using TypeII - Heterotic duality. Secondly, we study theta functions for indenite signature lattices of generic signature. Building on results in literature for signature (n-1,1) and (n-2,2) lattices, we work out the properties of generalized error functions which we call r-tuple error functions. We then use these functions to build such indenite theta functions and describe their modular completions.

Strings and Fundamental Physics

2012-04-05 Science
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Release : 2012-04-05
Genre : Science
Kind : eBook
Book Rating : 464/5 ( reviews)

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Book Synopsis Strings and Fundamental Physics by : Marco Baumgartl

Download or read book Strings and Fundamental Physics written by Marco Baumgartl. This book was released on 2012-04-05. Available in PDF, EPUB and Kindle. Book excerpt: The basic idea, simple and revolutionary at the same time, to replace the concept of a point particle with a one-dimensional string, has opened up a whole new field of research. Even today, four decades later, its multifaceted consequences are still not fully conceivable. Up to now string theory has offered a new way to view each particle: as different excitations of the same fundamental object. It has celebrated success in discovering the graviton in its spectrum, and it has naturally led scientists to posit space-times with more than four dimensions—which in turn has triggered numerous interesting developments in fields as varied as condensed matter physics and pure mathematics. This book collects pedagogical lectures by leading experts in string theory, introducing the non-specialist reader to some of the newest developments in the field. The carefully selected topics are at the cutting edge of research in string theory and include new developments in topological strings, or AdS/CFT dualities, as well as newly emerging subfields such as doubled field theory and holography in the hydrodynamic regime. The contributions to this book have been selected and arranged in such a way as to form a self-contained, graduate level textbook.

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