{"product_id":"modular-forms-and-string-theory-hardback-9781009457538","title":"Modular Forms and String Theory (Hardback) 9781009457538","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eModular Forms and String Theory\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eAn introduction to modular forms with string theory and gauge theory applications for students and researchers in physics and mathematics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eEric D'Hoker (Author), Justin Kaidi (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781009457538, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 12 December 2024\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e500 pages\u003cbr\u003e25.2 x 17.7 x 3 cm, 1.016 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'This book provides a detailed account of modular form from a physics perspective, in the context of their application to string theory. It is written by two of the experts in the subject and gives a comprehensive mathematical physics account of modular forms. Certainly, this book is an essential reference for researchers working in this field.' Joseph Conlon, The Observatory\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eAn indispensable resource for readers in physics and mathematics seeking a solid grasp of the mathematical tools shaping modern theoretical physics, this book comprises a practical introduction to the mathematical theory of modular forms and their application to the physics of string theory and supersymmetric Yang-Mills theory. Suitable for adventurous undergraduates, motivated graduate students, and researchers wishing to navigate the intersection of cutting-edge research in physics and mathematics, it guides readers from the theory of elliptic functions to the fascinating mathematical world of modular forms, congruence subgroups, Hecke theory, and more. Having established a solid basis, the book proceeds to numerous applications in physics, with only minimal prior knowledge assumed. Appendices review foundational topics, making the text accessible to a broad audience, along with exercises and detailed solutions that provide opportunities for practice. After working through the book, readers will be equipped to carry out research in the field.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction\u003cbr\u003e Part I. Modular Forms and their Variants: 2. Elliptic functions\u003cbr\u003e 3. Modular forms for SL(2,Z)\u003cbr\u003e 4. Variants of modular forms\u003cbr\u003e 5. Quantum fields on a torus\u003cbr\u003e 6. Congruence subgroups and modular curves\u003cbr\u003e 7. Modular forms for congruence subgroups\u003cbr\u003e 8. Modular derivatives and vector-valued modular forms\u003cbr\u003e 9. Modular graph functions and forms\u003cbr\u003e Part II. Extensions and Applications: 10. Hecke operators\u003cbr\u003e 11. Singular moduli and complex multiplication\u003cbr\u003e 12. String amplitudes\u003cbr\u003e 13. Toroidal compactification\u003cbr\u003e 14. S-duality of type IIB superstrings\u003cbr\u003e 15. Dualities in N = 2 super Yang-Mills theories\u003cbr\u003e 16. Basic Galois theory\u003cbr\u003e Part III. Appendix: Appendix A Some arithmetic\u003cbr\u003e Appendix B Riemann surfaces\u003cbr\u003e Appendix C Line bundles on Riemann surfaces\u003cbr\u003e Appendix D Riemann ϑ-functions and meromorphic forms\u003cbr\u003e Appendix E Solutions to exercises.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Statistical physics [\u003ca title=\"See our other books on Statistical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Statistical%20physics%20%5BPHS%5D%22\"\u003ePHS\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Brand New","offer_id":52472123949336,"sku":"9781009457538","price":49.98,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781009457538i.jpg?v=1785718093","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/modular-forms-and-string-theory-hardback-9781009457538","provider":"Freshly Printed Books","version":"1.0","type":"link"}